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E. Frola (1906–1962): An Attempt Towards an Axiomatic Theory of Elasticity
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The user has requested enhancement of the downloaded file. THE RATIONAL SPIRIT IN MODERN CONTINUUM MECHANICS The Rational Spirit in Modern Continuum Mechanics
Essays and Papers Dedicated to the Memory of Clifford Ambrose Truesdell III
Edited by
CHI-SING MAN University of Kentucky, Lexington, U.S.A. and ROGER L. FOSDICK University of Minnesota, Minneapolis, U.S.A.
Reprinted from Journal of Elasticity: The Physical and Mathematical Science of Solids, Vols. 70, 71, 72 (2003)
KLUWER ACADEMIC PUBLISHERS NEW YORK, BOSTON, DORDRECHT, LONDON, MOSCOW eBook ISBN: 1-4020-2308-1 Print ISBN: 1-4020-1828-2
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Visit Springer's eBookstore at: http://ebooks.kluweronline.com and the Springer Global Website Online at: http://www.springeronline.com Portrait by Joseph Sheppard Table of Contents
Portrait by Joseph Sheppard v Foreword by Chi-Sing Man and Roger Fosdick xi Published Works of Clifford Ambrose Truesdell III xiii Serials Edited by Clifford Ambrose Truesdell III xli Eulogium by Roger Fosdick xliii Photograph: Bloomington, Indiana, 1959 xlv BERNARD D. COLEMAN / Memories of Clifford Truesdell 1–13 ENRICO GIUSTI / Clifford Truesdell (1919–2000), Historian of Mathematics 15–22 WALTER NOLL / The Genesis of Truesdell’s Nonlinear Field Theories of Mechanics 23–30 JAMES SERRIN / An Appreciation of Clifford Truesdell 31–38 D. SPEISER / Clifford A. Truesdell’s Contributions to the Euler and the Bernoulli Edition 39–53 Photograph: Baltimore, Maryland, 1978 STUART S. ANTMAN / Invariant Dissipative Mechanisms for the Spatial Motion of Rods Suggested by Artificial Viscosity 55–64 MILLARD F. BEATTY / An Average-Stretch Full-Network Model for Rubber Elasticity 65–86 MICHELE BUONSANTI and GIANNI ROYER-CARFAGNI / From 3-D Non- linear Elasticity Theory to 1-D Bars with Nonconvex Energy 87–100 GIOVANNI BURATTI, YONGZHONG HUO and INGO MÜLLER / Eshelby Tensor as a Tensor of Free Enthalpy 101–112 SANDRO CAPARRINI and FRANCO PASTRONE / E. Frola (1906–1962): An Attempt Towards an Axiomatic Theory of Elasticity 113–125 GIANFRANCO CAPRIZ and PAOLO MARIA MARIANO / Symmetries and Hamiltonian Formalism for Complex Materials 127–140 DONALD E. CARLSON, ELIOT FRIED and DANIEL A. TORTORELLI / Geometrically-based Consequences of Internal Constraints 141–149
vii viii
YI-CHAO CHEN / Second Variation Condition and Quadratic Integral In- equalities with Higher Order Derivatives 151–167 ELENA CHERKAEV and ANDREJ CHERKAEV / Principal Compliance and Robust Optimal Design 169–196 JOHNC . CRISCIONE / Rivlin’s Representation Formula is Ill-Conceived for the Determination of Response Functions via Biaxial Testing 197–215 CESARE DAVINI and ROBERTO PARONI / Generalized Hessian and Ex- ternal Approximations in Variational Problems of Second Order 217–242 F. DELL’ISOLA, G. SCIARRA and R.C. BATRA / Static Deformations of a Linear Elastic Porous Body Filled with an Inviscid Fluid 243–264 GIANPIETRO DEL PIERO / A Class of Fit Regions and a Universe of Shapes for Continuum Mechanics 265–285 LUCA DESERI and DAVID R. OWEN / Toward a Field Theory for Elastic Bodies Undergoing Disarrangements 287–326 MARCELO EPSTEIN and IOAN BUCATARU / Continuous Distributions of Dislocations in Bodies with Microstructure 327–344 MARCELO EPSTEIN and MAREK ELZANOWSKI˙ / A Model of the Evolu- tion of a Two-dimensional Defective Structure 345–355 J.L. ERICKSEN / On the Theory of Rotation Twins in Crystal Multilattices 357–373 MAURO FABRIZIO and MURROUGH GOLDEN / Minimum Free Energies for Materials with Finite Memory 375–397 ROGER FOSDICK and LEV TRUSKINOVSKY / About Clapeyron’s The- orem in Linear Elasticity 399–426 M. FOSS, W. HRUSA and V.J. MIZEL / The Lavrentiev Phenomenon in Non- linear Elasticity 427–435 GIOVANNI P. GALDI / Steady Flow of a Navier–Stokes Fluid around a Ro- tating Obstacle 437–467 TIMOTHY J. HEALEY and ERROL L. MONTES-PIZARRO / Global Bifurc- ation in Nonlinear Elasticity with an Application to Barrelling States of Cylindrical Columns 469–494 MOJIA HUANG and CHI-SING MAN / Constitutive Relation of Elastic Poly- crystal with Quadratic Texture Dependence 495–524 MASARU IKEHATA and GEN NAKAMURA / Reconstruction Formula for Identifying Cracks 525–538 R.J. KNOPS and PIERO VILLAGGIO / An Approximate Treatment of Blunt Body Impact 539–554 I-SHIH LIU / On the Transformation Property of the Deformation Gradient under a Change of Frame 555–562 ix
KONSTANTIN A. LURIE / Some New Advances in the Theory of Dynamic Materials 563–573 GERARD A. MAUGIN / Pseudo-plasticity and Pseudo-inhomogeneity Effects in Materials Mechanics 575–597 A. IAN MURDOCH / On the Microscopic Interpretation of Stress and Couple Stress 599–625 PABLO V. NEGRÓN-MARRERO / The Hanging Rope of Minimum Elonga- tion for a Nonlinear Stress–Strain Relation 627–649 MARIO PITTERI / On Certain Weak Phase Transformations in Multilattices 651–671 PAOLO PODIO-GUIDUGLI / A New Quasilinear Model for Plate Buckling 673–698 G. RODNAY and R. SEGEV / Cauchy’s Flux Theorem in Light of Geometric Integration Theory 699–719 U. SARAVANAN and K.R. RAJAGOPAL / A Comparison of the Response of Isotropic Inhomogeneous Elastic Cylindrical and Spherical Shells and Their Homogenized Counterparts 721–749 M. ŠILHAVÝ / On SO(n)-Invariant Rank 1 Convex Functions 751–762 K. WILMANSKI´ / On Thermodynamics of Nonlinear Poroelastic Materials 763–777 WAN-LEE YIN / Anisotropic Elasticity and Multi-Material Singularities 779–808 Foreword
Through his voluminous and influential writings, editorial activities, organiza- tional leadership, intellectual acumen, and strong sense of history, Clifford Am- brose Truesdell III (1919–2000) was the main architect for the renaissance of ra- tional continuum mechanics since the middle of the twentieth century. The present collection of 42 essays and research papers pays tribute to this man of mathematics, science, and natural philosophy as well as to his legacy. The first five essays by B.D. Coleman, E. Giusti, W. Noll, J. Serrin, and D. Speiser were texts of addresses given by their authors at the Meeting in memory of Clifford Truesdell, which was held in Pisa in November 2000. In these essays the reader will find personal reminiscences of Clifford Truesdell the man and of some of his activities as scientist, author, editor, historian of exact sciences, and principal founding member of the Society for Natural Philosophy. The bulk of the collection comprises 37 research papers which bear witness to the Truesdellian legacy. These papers cover a wide range of topics; what ties them together is the rational spirit. Clifford Truesdell, in his address upon receipt of a Birkhoff Prize in 1978, put the essence of modern continuum mechanics succinctly as “conceptual analysis, analysis not in the sense of the technical term but in the root meaning: logical criticism, dissection, and creative scrutiny.” It is in celebra- tion of this spirit and this essence that these research papers are dedicated to the memory of their bearer, driving force, and main promoter for half a century. Most of these papers were presented at the Symposium on Recent Advances and New Directions in Mechanics, Continuum Thermodynamics, and Kinetic Theory – In Memory of Clifford A. Truesdell III, held in Blacksburg, Virginia, in June 2002; parts of two papers were delivered at the meeting Remembering Clifford Truesdell, held in Turin in November 2002; and the rest was written especially for the present collection. The portrait, a photo of which serves as the frontispiece of this collection, adorns the Clifford A. Truesdell III Room of History of Science in the library of the Scuola Normale Superiore (Pisa, Italy), which was inaugurated in October 2003 and permanently houses Clifford Truesdell’s previously private collection of books, papers, and correspondence. We are grateful to Mrs. Charlotte Truesdell for helping us secure a digital file of this photo and for providing us with the list of published works of Clifford Truesdell.
CHI-SING MAN ROGER FOSDICK University of Kentucky University of Minnesota Lexington Minneapolis
xi Published Works of Clifford Ambrose Truesdell III
The year of publication is omitted from the entry unless it differs from the year under which the entry is listed. Letters following a number indicate subsidiary separate publications, as follows: P Preliminary report or preprint, A Abstract, separately published or only published version, C Condensed or extracted version, L Lecture concerning part or all of the contents of main entry, R Reprint, entire, RE Reprint of an extract, T Translation, entire, TC Translation, condensed, TE Translation of an extract. The list excludes some 600 reviews published between 1949 and 1971 in Math- ematical Reviews, Applied Mechanics Reviews, Zentralblatt für Mathematik, In- dustrial Laboratories, and Mathematics of Computation but includes reviews pub- lished in other journals. 1943 1. (Co-author P. NEMÉNYI) A stress function for the membrane theory of shells of revolution, Proceedings of the National Academy of Sciences (U.S.A.) 29, 159–162. Other publication in 1943: No. 3A1. 1944 2. ALONZO CHURCH, Introduction to Mathematical Logic, Part I, Notes by C.A. TRUESDELL, Annals of Mathematics Studies No. 13, Princeton, Uni- versity Press, vi + 118 pp. Note by the editors: This list and the list on p. 29 are slightly edited versions of those that we received from Mrs. C. Truesdell, to whom we are heartily grateful. In our editorial work we have added a few entries, updated several items, and made a small number of other minor corrections. To G.P. Galdi, K. Hutter, R.G. Muncaster, F. Pastrone, and D. Speiser, we are beholden for their help in tracking down article titles and numbers of journal volumes. In what follows, explanatory remarks set off by square brackets were made by Clifford Truesdell himself.
xiii xiv PUBLISHED WORKS OF C.A. TRUESDELL
1945 3. The membrane theory of shells of revolution, Transactions of the American Mathematical Society 58, 96–166. 3A1. The differential equations of the membrane theory of shells of revolu- tion, Bulletin of the American Mathematical Society 49 (1943), 863– 864. 3A2. The membrane theory of shells of revolution, Bulletin of the American Mathematical Society 51, 225. 4. On a function which occurs in the theory of the structure of polymers, Annals of Mathematics 46, 144–157. ∞ −2m ∞ − n × 5. Generalizations of Euler’s summations of the series n=1 n , n=0( ) (2n + 1)−2m−1,etc.,Annals of Mathematics 46, 194–195. Other publication in 1945: No. 12A1. 1946 6. (Co-author R.C. PRIM) On Linearized Axially Symmetric Flow of a Com- pressible Fluid, U.S. Naval Ordnance Laboratory Memorandum 8885, 16 De- cember, 4 pp. 7. On Behrbohm and Pinl’s linearization of the equation of two-dimensional steady polytropic flow of a compressible fluid, Proceedings of the National Academy of Sciences (U.S.A.) 32, 289–293 = U.S. Naval Ordnance Labora- tory Memorandum 8888, 18 December, 6 pp. 7A. On Behrbohm and Pinl’s linearization of the two dimensional steady flow of a compressible adiabatic fluid, Bulletin of the American Mathe- matical Society 53 (1947), 59. Other publications in 1946: Nos. 8A and 12A2. 1947 8. On Sokolovsky’s “Momentless shells”, Transactions of the American Mathe- matical Society 61, 128–133. 8A. Same title, Bulletin of the American Mathematical Society 52 (1946), 240. 9. (Co-author R.N. SCHWARTZ) The Newtonian mechanics of continua, U.S. Naval Ordnance Laboratory Memorandum 9223, 18 July, 25 pp. 9A. (Co-author R. SCHWARTZ) On the Newtonian Mechanics of Continua, Bulletin of the American Mathematical Society 53, 1125. 10. A note on the Poisson–Charlier functions, Annals of Mathematical Statistics 18, 450–454. 11. Review of L. Brand’s “Vector and Tensor Analysis”, Science 106, 623. Other publications in 1947: Nos. 7A, 12A3, 13P, 14P, 16P, 16A, 23P, 48P. 1948 12. An Essay toward a Unified Theory of Special Functions, based on the Func- tional Equation ∂F (z, α)/∂z = F(z,α+ 1), Annals of Mathematics Studies No. 18, Princeton, Princeton University Press, iv + 182 pp. PUBLISHED WORKS OF C.A. TRUESDELL xv
12A1. On the functional equation ∂F (z, α)/∂z = F(z,α+1), Bulletin of the American Mathematical Society 51 (1945), 883. 12A2. On a class of differential-difference equations, Bulletin of the Ameri- can Mathematical Society 52 (1946), 823. 12A3. On the Functional Equation (∂/∂z)F(z, a) = F(z,a+ 1),U.S.Naval Ordnance Laboratory Memorandum 8975, 17 February 1947, 13 pp. = Proceedings of the National Academy of Sciences (U.S.A.) 33 (1947), 82–93. 12A4. A unified theory of special functions, American Mathematical Monthly 56 (1949), 368. 12L. Une méthode nouvelle concernant les fonctions spéciales, pp. 53–72 of Three Lectures on Mathematics and Mechanics,U.S.Naval Research Laboratory Theoretical Mechanics Section Memorandum No. 3836-1, August 1, 1949. 13. On the total vorticity of motion of a continuous medium, Physical Review (2) 73, 510–512. 13P. The Transport of Vorticity, U.S. Naval Ordnance Laboratory Memo- randum 9260, 11 August 1947, 7 pp. 14. On the transfer of energy in continuous media, Physical Review (2) 73, 513– 515. 14P. The Energy Theorem for Newtonian Continua, U.S. Naval Ordnance Laboratory Memorandum 9224, 21 July 1947, 8 pp. 15. A New Definition of a Fluid, U.S. Naval Ordnance Laboratory Memorandum 9487, 5 January, 31 pp. 15A1. On the differential equations of slip flow, Proceedings of the National Academy of Sciences (U.S.A.) 34, 342–347. 15A2. On the differential equations for slip flow, Physical Review (2) 73, 1255. 16. On the reliability of the membrane theory of shells of revolution, Bulletin of the American Mathematical Society 54, 994–1008. 16P. Same title, U.S. Naval Ordnance Laboratory Memorandum 9270, 14 August 1947, 15 pp. 16A. Same title, Bulletin of the American Mathematical Society 53 (1947), 1125. 17. Généralisation de la formule de Cauchy et des théorèmes de Helmholtz au mouvement d’un milieu continu quelconque, Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences (Paris) 227, 757–759. 17L. Sur la cinématique des mouvements tourbillonaires, pp. 3–20, 73–74 of Three Lectures on Mathematics and Mechanics,U.S.Naval Research Laboratory Theoretical Mechanics Section Memorandum No. 3836-1, August 1, 1949. xvi PUBLISHED WORKS OF C.A. TRUESDELL
18. Une formule pour le vecteur tourbillon d’un fluide visqueux élastique, Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences (Paris) 227, 821–823. 18L. Des théorèmes tourbillonaires de la mécanique des fluides, pp. 21–37, 75–76 of Three Lectures on Mathematics and Mechanics,U.S.Naval Research Laboratory Theoretical Mechanics Section Memorandum No. 3836-1, August 1, 1949. Other publications in 1948: Nos. 19P, 32P, 64P. 1949 19. The effect of viscosity on circulation, Journal of Meteorology 6, 61–62. 19P. Same title, U.S. Naval Ordnance Laboratory Memorandum 9516, 27 January 1948, 6 pp. 19A. Same title, Physical Review (2) 76 (1949), 192–193. 20. Deux formes de la transformation de Green, Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences (Paris) 229, 1199–1200. Other publications in 1949: Nos. 12A4, 12L, 17L, 18L, 22P, 26P, 26L1, 26L2, 26L3A, 29P, 35P, 64A. 1950 21A. On finite strain of an elastic body, Bulletin of the American Mathematical Society 55, 1072. 22. Bernoulli’s theorem for viscous compressible fluids, Physical Review (2) 77, 535–536. 22P. Same title, U.S. Naval Research Laboratory Report 3558, October 12, 1949, iv + 3 pp. 22A. Bernoulli’s theorem for viscous fluids, Bulletin of the American Math- ematical Society 56, 253. 23. (Co-author R. PRIM) A derivation of Zorawski’s criterion for permanent vectorlines, Proceedings of the American Mathematical Society 1, 32–34. 23P. (Co-author R.C. PRIM) Zorawski’s Kinematic Theorems,U.S.Naval Ordnance Laboratory Memorandum No. 9354, 20 September 1947, 4 pp. 24. On the effect of a current of ionized air upon the earth’s magnetic field, Journal of Geophysical Research 55, 247–260; 56 (1951), 134. 25. On the balance between deformation and rotation in the motion of a contin- uous medium, Journal of the Washington Academy of Sciences 40, 313–317. 26. A new definition of a fluid, I: The Stokesian fluid, Journal de Mathématiques Pures et Appliquées (9) 29, 215–244; 30 (1951), 156–158. 26P. Same title, pp. 351–364 of Proceedings of the 7th International Congress of Applied Mechanics (1948), Volume 2, 1949 = [with minor alterations] U.S. Naval Research Laboratory Report P-3457, April 26, 1949, iv + 11 pp. PUBLISHED WORKS OF C.A. TRUESDELL xvii
26L1. Deformation: Elastic, plastic, and fluid masses, Research Reviews (U.S. Office of Naval Research), 15 April 1949, pp. 10–14. 26L2. Une définition nouvelle des fluides, pp. 38–52, 76 of Three Lectures on Mathematics and Mechanics, U.S. Naval Research Laboratory Theoretical Mechanics Section Memorandum No. 3836-1, August 1, 1949. 26L3A. Recent continuum theories of fluid dynamics, Physical Review (2) 75 (1949), 1293. 27. On the addition and multiplication theorems for special functions, Proceed- ings of the National Academy of Sciences (U.S.A.) 36, 752–755. 28. The effect of the compressibility of the earth on its magnetic field, Physical Review (2) 78, 823. Other publications in 1950: Nos. 29A, 30A1, 30A2. 1951 29. A form of Green’s transformation, American Journal of Mathematics 73, 43– 47. 29P. Same title, U.S. Naval Research Laboratory Report No. 3554, 11 October 1949, iii + 4 pp. 29A. Same title, Bulletin of the American Mathematical Society 56 (1950), 171. 30. Vorticity averages, Canadian Journal of Mathematics 3, 69–86. 30A1. On Poincaré’s analogy between vorticity and mass density, Bulletin of the American Mathematical Society 56 (1950), 347. 30A2. Vorticity averages, Physical Review (2) 79 (1950), 229. 31. Verallgemeinerung und Vereinheitlichung der Wirbelsätze ebener und rota- tionssymmetrischer Flüssigkeitsbewegungen, Zeitschrift für Angewandte Mathematik und Mechanik 31, 65–71. 31A. A new vorticity theorem, pp. 639–640 of Proceedings of the Inter- national Congress of Mathematicians, 1950, Volume 1, 1952. 32. On Ertel’s vorticity theorem, Zeitschrift für Angewandte Mathematik und Phys- ik 2, 109–114. 32P. On Ertel’s Theorem of the Diffusion of Vorticity,U.S.NavalOrd- nance Laboratory Memorandum No. 9528, 3 February 1948, 8 pp. 33. Caractérisation des champs vectoriels qui s’annulent sur une frontière fermée, Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences (Paris) 232, 1277–1279. 34. Analogue tri-dimensionnel au théorème de M. Synge concernant les champs vectoriels qui s’annulent sur une frontière fermée, Comptes Rendus Hebdo- madaires des Séances de l’Académie des Sciences (Paris) 232, 1396–1397. 35. A new definition of a fluid, II: The Maxwellian fluid, Journal de Mathéma- tiques Pures et Appliquées (9) 30, 111–155. 35P. Same title, U.S. Naval Research Laboratory Report No. 3553, Sep- tember 20, 1949, viii + 36 pp. xviii PUBLISHED WORKS OF C.A. TRUESDELL
36. Proof that Ertel’s vorticity theorem holds in average for any medium suffer- ing no tangential acceleration on the boundary, Geofisica Pura e Applicata 19, 1–3. 37. On the equation of the bounding surface, Bulletin of the Technical University of Istanbul 3, 71–78. 38. On the velocity of sound in fluids, Journal of the Aeronautical Sciences 18, 501. 39. The analogy between irrotational gas flow and minimal surfaces, Journal of the Aeronautical Sciences 18, 502. 40A. Severe pure shear of an elastic body, Indiana Academy of Science Proceed- ings 61, 271. 41. Discussion of the paper by W.R. Osgood and J.A. Joseph, “On the general theory of thin shells”, Journal of Applied Mechanics 18, 231–232. 42. Review of J.L. Synge and R.A. Griffith’s “Principles of Mechanics”, 2nd edn, American Mathematical Monthly 57, 351–354. Other publications in 1951: Nos. 24 (corrections), 26 (corrections), 54A1. 1952 43. The mechanical foundations of elasticity and fluid dynamics, Journal of Rational Mechanics and Analysis 1, 125–300; 2 (1953), 593–616; 3 (1954), 801. 43R. [corrected, with a preface, annotations, and appendices (1962)], pp. i–vxi, 1–186, 204–214 of Continuum Mechanics I,NewYork, Gordon & Breach, 1966. 44. A program of physical research in classical mechanics, Zeitschrift für Ange- wandte Mathematik und Physik 3, 79–95. 44R. [corrected and annotated] pp. 187–203, 215–218 of Continuum Me- chanics I, New York, Gordon & Breach, 1966. 45. On the viscosity of fluids according to the kinetic theory, Zeitschrift für Physik 131, 273–289. 46. On curved shocks in steady plane flow of an ideal fluid, Journal of the Aeronautical Sciences 19, 826–828. 47. Longueur critique pour la propagation des ondes libres dans un fluide visqu- eux, Comptes Rendus Hebdomadaires des Séances de l’Académie des Sci- ences (Paris) 235, 702–704. 48. Vorticity and the Thermodynamic State in a Gas Flow, Mémorial des Sci- ences Mathématiques No. 119, Paris, Gauthier-Villars, 56 pp. 48P. (Co-author R.C. PRIM) Vorticity and the Thermodynamic State in the Flow of an Inviscid Fluid, U.S. Naval Ordnance Laboratory Memo- randum 9416, 12 November 1947, 14 pp. 49. Review of “Advances in Applied Mechanics”, Volume 2, Bulletin of the American Mathematical Society 58, 403–407. PUBLISHED WORKS OF C.A. TRUESDELL xix
50. Review of F.D. Murnaghan’s “Finite Deformation of an Elastic Solid”, Bul- letin of the American Mathematical Society 58, 577–579. 50C. Same title, Science 115, 634. 51. Discussion of H.M. Trent’s paper, “An alternative formulation of the laws of mechanics”, Journal of Applied Mechanics 19, 569–570. 52. Discussion of R.A. Toupin’s paper, “A variational principle for the mesh-type analysis of a mechanical system”, Journal of Applied Mechanics 19, 574. 53. Review of W. Prager and P.G. Hodge’s “Theory of Perfectly Plastic Solids”, Bulletin of the American Mathematical Society 58, 674–677. Other publications in 1952: Nos. 31A, 57P, 59C1, 59C1T, 59C2. 1953 54. Two measures of vorticity, Journal of Rational Mechanics and Analysis 2, 173–217. 54A1. A measure of vorticity, Bulletin of the American Mathematical Society 57 (1951), 138. 54A2. La velocità massima nel moto di Gromeka–Beltrami, Accademia Nazionale del Lincei, Rendiconti della Classe di Scienze Fisiche, Matematiche e Naturali (8) 13, 378–379. 54A3. A measure of vorticity, pp. 245–246 of Proceedings of the 8th In- ternational Congress on Theoretical and Applied Mechanics 1953, 1954. 55. Notes on the history of the general equations of fluid dynamics, American Mathematical Monthly 60, 445–458. 55R. Same title, Journal of the American Society of Naval Engineers 66 (1954), 97–108. 56. Generalization of a geometrical theorem of Euler, Commentarii Mathematici Helvetici 27, 233–234. 57. Precise theory of the absorption and dispersion of forced plane infinitesi- mal waves according to the Navier–Stokes equations, Journal of Rational Mechanics and Analysis 2, 643–742. 57P. Preliminary Report: Non-linear absorption and dispersion of plane ultrasonic waves in pure fluids, Journal of the Washington Academy of Sciences 42 (1952), 33–36. 58. The physical components of vectors and tensors, Zeitschrift für Angewandte Mathematik und Mechanik 33, 345–356; 34 (1954), 69–70. 59. Paul Felix Neményi, Journal of the Washington Academy of Sciences 43, 62–63. 59C1. Same title, Science (2) 116 (1952), 215–216. 59C1T. [inaccurate] Same title, Physikalische Blätter 7 (1952), 325–326. 59C2. Same title, Zeitschrift für Angewandte Mathematik und Physik 3 (1952), 400–401. 59C3. Same title, Zeitschrift für Angewandte Mathematik und Mechanik 33, 72. xx PUBLISHED WORKS OF C.A. TRUESDELL
60. Review of H.M. Westergaard’s “Theory of Elasticity and Plasticity”, Bulletin of the American Mathematical Society 59, 412–413. 61. Review of V.V. Novozhilov’s “Foundations of the Nonlinear Theory of Elas- ticity”, Bulletin of the American Mathematical Society 59, 467–473. 62. Václav Hlavatý, International Mathematical News No. 29/30, 2–3. Other publications in 1953: Nos. 43 (corrections and additions), 65A. 1954 63. A new chapter in the theory of elastica, pp. 52–55 of Proceedings of the First Midwestern Conference on Solid Mechanics, 1953. 64. The Kinematics of Vorticity, Indiana University Science Series No. 19, xvii + 232 pp. 64P. Same title, U.S. Naval Ordnance Laboratory Memorandum 9591, 11 March 1948, 35 pp. 64A. Same title, Bulletin of the American Mathematical Society 55 (1949), 296 and 699. 65. Le pendule hydraulique, pp. 383–396 of Mémoires sur la Mécanique des Flu- ides offerts à M.D. Riabouchinsky à l’occasion de son Jubilé scientifique, Pub- lications Scientifiques et Techniques du Ministère de l’Air, Paris. 65A. The hydraulic pendulum, Indiana Academy of Science Proceedings 63 (1953), 263. 66. Editor’s Introduction: Rational fluid mechanics, 1687–1765, pp. VII–CXXV of Leonhardi Euleri Opera Omnia, Series II, Volume 12, Zürich, Füssli. 67. The present status of the controversy regarding the bulk viscosity of fluids, Proceedings of the Royal Society (London) A 226, 59–65. 68. Mathematics, pp. 618–619 of The American Peoples Encyclopedia Yearbook for 1953. 69. Review of J. Pérès’ “Mécanique Générale”, Bulletin of the American Mathe- matical Society 60, 286. 70. Review of E.J. McShane, J.L. Kelley and F.J. Reno’s “Exterior Ballistics”, Scripta Mathematica 20, 172–174. 71. Review of A. Erdélyi, W. Magnus, F. Oberhettinger, and F. Tricomi’s “Higher Transcendental Functions”, Volumes I and II, American Mathematical Monthly 61, 576–578. Other publications in 1954: Nos. 43 (corrections), 55R, 54A3 and 84C. 1955 72. Hypo-elasticity, Journal of Rational Mechanics and Analysis 4, 83–133, 1019– 1020. 72L. L’ipoelasticità, Conferenze del Seminario di Matematica dell’Università di Bari No. 29, Bologna, Zanichelli, 1957, 16 pp. [The text was some- what mangled by the editor.] 72R. [corrected] pp. 43–92 of Continuum Mechanics III: Foundations of Elas- ticity Theory, New York, Gordon & Breach, 1965. PUBLISHED WORKS OF C.A. TRUESDELL xxi
73. The simplest rate theory of pure elasticity, Communications on Pure and Ap- plied Mathematics 8, 123–132. 73R. [corrected] pp. 32–41 of Continuum Mechanics III: Foundations of Elasticity Theory, New York, Gordon & Breach, 1965. 74. Review of F.I. Frankl and E.A. Karpovich’s “Gas Dynamics of Thin Bodies”, Science 121, 163–164. 75. Some things you don’t know about mathematics and mechanics, Indiana Alumni Magazine 17, 2–5. [The title was supplied by the editor; C.T. would not have accepted it, had he been informed.] 76. IU Prof says pupils can’t write, either, Indianapolis Times, June 16. [The title was supplied by the editor.] 77. I. Editor’s Introduction: The first three sections of Euler’s treatise on fluid me- chanics (1766). II. The theory of aerial sound, 1687–1788. III. Rational fluid mechanics, 1765–1788, pp. VII–CXVII of Leonhardi Euleri Opera Omnia, Series II, Volume 13, Zürich, Füssli. Other publication in 1955: No. 80A. 1956 78. (Co-author E. IKENBERRY) On the pressures and the flux of energy in a gas according to Maxwell’s kinetic theory, I, Journal of Rational Mechanics and Analysis 5, 1–54. 79. On the pressures and the flux of energy in a gas according to Maxwell’s kinetic theory, II, Journal of Rational Mechanics and Analysis 5, 55–128. 79L1. La crise actuelle dans la théorie cinétique des gaz (1955), Journal de Mathématiques Pures et Appliquées (9) 37 (1958), 103–118. 79L1T. By B.H. Aleksanova i N.T. Pawenko, Sovremenny kri- zis v kinetiqesko teorii gazov, Mexanika No. 4/62 (1960), 65–75. 79L2. Une solution exacte des équations de Maxwell (1955), Journal de Mathématiques Pures et Appliquées (9) 37 (1958), 119–133. 79L3. Congetture intorno ad un nuovo metodo di approssimazione asintotica (1961), Rendiconti di Matematica 23 (1964), 185–192. 80. Das ungelöste Hauptproblem der endlichen Elastizitätstheorie, Zeitschrift für Angewandte Mathematik und Mechanik 36, 97–103. 80A. Same title, Physikalische Verhandlungen 68 (1955), 129. 80T1. By G. . D anelidze: Nerexenna glavna zadaqa ne- line no teorii uprugosti, Mexanika No. 1/41 (1957), 67– 74. 80T2. By C.T.: The main open problem in the finite theory of elasticity, pp. 102–108 of Continuum Mechanics III: Foundations of Elasticity Theory, New York, Gordon & Breach, 1965. 81. Hypo-elastic shear, Journal of Applied Physics 27, 441–447. 81R. Pp. 93–100 of Continuum Mechanics III: Foundations of Elasticity Theory, New York, Gordon & Breach, 1965. xxii PUBLISHED WORKS OF C.A. TRUESDELL
82. Zur Geschichte des Begriffes “innerer Druck”, Physikalische Blätter 12, 315– 326. 83. Experience, theory, and experiment, pp. l3–18 of Proceedings of the Sixth Hydraulics Conference, Bulletin 36, State University of Iowa Studies in Engi- neering. 84. Review of “Advances in Applied Mechanics”, Volume 3, Scripta Mathematica 22, 65–68. 84C. A comment on scientific writing, Science 120 (1954), 434. 85. Review of R. Dugas’ “La Mécanique au XVIIe Siècle”, Isis 47, 449–452. 86. Query No. 150 [Bounded magic], Isis 47, 59. 1957 87. (Co-author B. BERNSTEIN) The solution of linear differential equations by quadratures, Journal für die Reine und Angewandte Mathematik 197, 104– 111. 88. Sulle basi della termomeccanica, Accademia Nazionale del Lincei, Rendiconti della Classe di Scienze Fisiche, Matematiche e Naturali (8) 22, 33–38, 158– 166. 88T. By C.T.: On the foundations of mechanics and energetics, pp. 293–305 of Continuum Mechanics II: The Rational Mechanics of Materials,New York, Gordon & Breach, 1965. 89. Eulers Leistungen in der Mechanik, Enseignement Mathématique 3, 251–262. 90. General solution for the stresses in a curved membrane, Proceedings of the National Academy of Sciences (U.S.A.) 43, 1070–1072. 91. Review of “The Principal Works of Simon Stevin”, Volume 1, edited by E. Crone, E.J. Dijksterhuis, R.J. Forbes, M.G.J. Minnaert, A. Pannekoeg, Phys- ikalische Blätter 13, 578–579. Other publications in 1957: Nos. 72L, 80T1, 95A. 1958 92. The new Bernoulli edition, Isis 49, 54–62. 93. Geometric interpretation for the reciprocal deformation tensors, Quarterly of Applied Mathematics 15, 434–435. 94. Recent advances in rational mechanics, Science 127, 729–739. 94R. [corrected] Essay VIII in No. 165 below. 95. Neuere Anschauungen über die Geschichte der allgemeinen Mechanik, Zeit- schrift für angewandte Mathematik und Mechanik 38, 148–157. 95A. Neuere Anschauungen über die Geschichte der Mechanik, Physikalische Verhandlungen 83 (1957), 50. 96. Neuere Entwicklungen in der klassischen statistischen Mechanik und in der kinetischen Gastheorie, ausgearbeitet von D. MORGENSTERN, Ergebnisse der exakten Naturwissenschaften 30, 286–343. 97. (Co-author J.L. ERICKSEN) Exact theory of stress and strain in rods and shells, Archive for Rational Mechanics and Analysis 1 (1957/8), 295–323. PUBLISHED WORKS OF C.A. TRUESDELL xxiii
97R. Pp. 307–323 of Continuum Mechanics II: The Rational Mechanics of Materials, New York, Gordon & Breach, 1965. Other publications in 1958: Nos. 79L1, 79L2, 98P, 104P, 107P. 1959 98. The rational mechanics of materials – past, present, future, Applied Mechan- ics Reviews 12, 75–80. 98P. Same title, Mathematics Research Center, United States Army, The University of Wisconsin, Technical Summary Report No. 41, July 1958, 28 pp. 98R. [corrected and modified] pp. 225–236 of Applied Mechanics Surveys, Washington, Spartan Books, 1966. 99. Invariant and complete stress functions for general continua, Archive for Rational Mechanics and Analysis 4 (1959/60), 1–29. 100. 20 Lectures on the Elements of Fluid Mechanics, notes taken by R. Wells, Rheology Section, National Bureau of Standards, June 30–September 11, multiplied typescript, 131 pp. 101. Review of H. Rouse and S. Ince’s “History of Hydraulics”, Isis 50, 69–71. 102. Review of “Rheology, theory and applications”, edited by F. Eirich, Quar- terly of Applied Mathematics 17, 221–222. 103. Query No. 158, “Physical Intuition”, Isis 50, 480. Other publication in 1959: No. 110A. 1960 104. Intrinsic equations of spatial gas flow, Zeitschrift für Angewandte Mathe- matik und Mechanik 40, 9–14. 104P. Same title, Mathematics Research Center, United States Army, The University of Wisconsin, Technical Summary Report No. 33, July 1958, 13 pp. 105. (Co-author R.P. KANWAL) Electric current and fluid spin created by the pas- sage of a magnetosonic wave, Archive for Rational Mechanics and Analysis 5, 432–439. 106. (Co-author B.D. COLEMAN) On the reciprocal relations of Onsager, Journal of Chemical Physics 33, 28–31. 107. (Co-author R. TOUPIN) The classical field theories, pp. 226–793 of Flügge’s Handbuch der Physik, Volume 3, Part 1, Berlin/Göttingen/Heidelberg, Springer-Verlag. 107P. [Chapter C only] Kinematics of singular surfaces and waves,Mathe- matics Research Center, United States Army, The University of Wis- consin, Technical Summary Report No. 43, October 1958, 89 pp. 108. (translation by Mathäi) Zu den Grundlagen der Mechanik und Thermody- namik, Physikalische Blätter 16, 512–517. 108T. [English original] Text of the Chairman’s Introduction to the Col- loquium on the Foundations of Mechanics and Thermodynamics xxiv PUBLISHED WORKS OF C.A. TRUESDELL
held at the U.S. National Bureau of Standards, Washington, October 21–23, 1959, Appendix to No. 153, 1966. 109. A program toward rediscovering the rational mechanics of the age of reason, Archive for History of Exact Sciences 1, 3–36. 109TE. By C.T.: La scienza del moto dai ‘Principia Mathematica Naturalis Philosophiae’ di Newton alla ‘Méchanique Analitique’ di Lagrange, Atti e Memorie della Academia Nazionale di Scienze, Lettere ed Arti, Modena (6) 2, 3–32. 109R1. [corrected] Essay II in No. 165 below. 109R2. [of the foregoing] No. HS-76 in The Bobbs-Merrill Reprint Series in History of Science, 1972. 110. Modern theories of materials, Transactions of the Society of Rheology 4,9– 22. 110A. Same title, Rheology Bulletin 28, No. 3 (1959), p. 5. 111. The Rational Mechanics of Elastic or Flexible Bodies, 1638–1788, L. Euleri Opera Omnia, Series II, Volume 11, Part 2, Zürich, Füssli, 435 pp. 111A. Outline of the history of flexible or elastic bodies to 1788, Journal of the Acoustical Society of America 32, 1647–1656. 111L1. Origin of the theory of vibrating systems, Res Mechanica 21 (1987), 291–311. [This text was drawn by others from Truesdell’s notes for a lecture.] 112. [unsigned] Potentials (physics), pp. 539–542 of McGraw-Hill Encyclopedia of Science and Technology, Volume 10. 113. [unsigned] Unified field theories, pp. 200–201 of McGraw-Hill Encyclopedia of Science and Technology, Volume 14. 114. Review of “Die Deutsch–Russische Begegnung und Leonhard Euler”, edited by E. Winter, Isis 51, 115. 115. Review of Leonhard Euler’s “Vollständige Anleitung zur Algebra”, edited by J.E. Hofmann, Isis 51, 434. 116. Query No. 161, Approximate theories in early research, Isis 51, 207. [An- swered by B.L. VA N D ER WAERDEN on pp. 567–568.] Other publication in 1960: No. 79L1T. 1961 117. Stages in the development of the concept of stress, pp. 556–564 of Problems of Continuum Mechanics [Muskhelisvili Anniversary Volume], Philadelphia, Society for Industrial and Applied Mathematics. 117T. tapy razviti pon ti napr eni , pp. 439–447 of Prob- lemy mexaniki sploxno sredy, Moscow, Izdatel stvo Akademii Nauk SSSR. 118. Exact theory of self-expanding piston rings, Ingenieur-Archiv 30, 77–87. 119. The Principles of Continuum Mechanics, Socony Mobil Oil Company Col- loquium Lectures in Pure and Applied Science No. 5 (February, 1960), (x) + 371 + XVIII pp. Reprinted in 1963 and 1965. PUBLISHED WORKS OF C.A. TRUESDELL xxv
120. General and exact theory of waves in finite elastic strain, Archive for Rational Mechanics and Analysis 8, 263–296. 120L. Second-order theory of wave propagation in isotropic elastic mate- rials, pp. 187–199 of Proceedings of the International Conference on Second-order Effects, Haifa (1962), 1964. 120R1. [corrected] pp. 230–263 of Continuum Mechanics IV: Problems of Nonlinear Elasticity, New York, Gordon & Breach, 1965. 120R2. Ibid, [not repaginated] Memoir 1 in Wave Propagation in Dissi- pative Materials, a Reprint of Five Memoirs by B.D. COLEMAN, M.E. GURTIN,I.HERRERA R., and C. TRUESDELL,NewYork, Springer-Verlag, 1965. 121. Ergodic theory in classical statistical mechanics, pp. 21–56 of Rendiconti della Società Italiana di Fisica, XIV Corso = Ergodic Theory, ed. P. Caldirola, New York, Academic Press. 122. Review of M. Clagett’s “The Science of Mechanics in the Middle Ages”, Speculum 36, 119–121. 123. Review of “Critical Problems in the History of Science”, edited by M. Clagett, Manuscripta 5, 101–103. 124. Review of “Die Berliner und die Petersburger Akademie im Briefwechsel Leonhard Eulers, Teil I, Der Briefwechsel L. Eulers mit G.F. Müller, 1735– 1767”, edited by A.P. Juškevic,ˇ E. Winter, and P. Hoffmann, Isis 52, 113–114. 125. Review of M. Dyck’s “Novalis and Mathematics: A Study of Friedrich von Hardenberg’s Fragments on Mathematics and its Relation to Magic, Music, Religion, Philosophy, Language and Literature”, Isis 52, 606–607.
1962
126. Mechanical basis of diffusion, Journal of Chemical Physics 37, 2336–2344. 126L. Una teoria meccanica della diffusione, pp. 161–168 of Celebrazioni Archimedee del Secolo XX (Siracusa, 1961), Volume 3. 127. Reactions of the history of mechanics upon modern research, pp. 35–47 of Proceedings of the Fourth U.S. National Congress of Applied Mechanics. 127A. Same title, Journal of Applied Mechanics 29, 225. 127R. [corrected] Essay VII in No. 165, below. 127T. [of the foregoing] by P. Zimmermann: Rückwirkungen der Ge- schichte der Mechanik auf die moderne Forschung, Humanismus und Technik 13 (1969), 1–25. 128. Solutio generalis et accurata problematum quamplurimorum de motu corpo- rum elasticorum incomprimibilium in deformationibus valde magnis, Archive for Rational Mechanics and Analysis 11, 106–113; 12 (1963), 427–428; 28 (1968), 397–398. 129. (Co-author R.P. KANWAL) Fluid and magnetic distortion carried by magne- tosonic waves, The Physics of Fluids 5, 368–369. xxvi PUBLISHED WORKS OF C.A. TRUESDELL
130. Review of “Die Berliner und die Petersburger Akademie im Briefwechsel Leonhard Eulers, Teil II, der Briefwechsel L. Eulers mit Nartov, Razumovskij, Schumacher, Teplov und der Petersburger Akademie, 1730–1763”, edited by A.P. Juškevic,ˇ E. Winter, P. Hoffmann, and Ju.Ch. Kopelevic,ˇ Isis 53, 411–413. Other publication in 1962: No. 144P1. 1963
131. (Co-author R.A. TOUPIN) Static grounds for inequalities in finite strain of elastic materials, Archive for Rational Mechanics and Analysis 12, 1–33; 19 (1965), 407. 132. The meaning of Betti’s reciprocal theorem, Journal of Research of the Na- tional Bureau of Standards 67B, 85–86. 133. Remarks on hypo-elasticity, Journal of Research of the National Bureau of Standards 67B, 141–143. 134. Review of M. Jammer’s “Concepts of Mass in Classical and Modern Physics”, Isis 54, 290–291. 135. Review of D. Morgenstern and I. Szabò’s “Vorlesungen über theoretische Mechanik”, Bulletin of the American Mathematical Society 69, 330–332. 136. Query 170 – Portrait of George Green, Isis 54, 277. Other publication in 1963: No. 128 (corrections). 1964 137. Second-order effects in the mechanics of materials, pp. 1–47 of Proceedings of the International Conference on Second-order Effects, Haifa (1962). 138. The natural time of a visco-elastic fluid: its significance and measurement, The Physics of Fluids 7, 1134–1142. 139. A theorem on the isotropy groups of a hyperelastic material, Proceedings of the National Academy of Sciences (U.S.A.) 52, 1081–1083. 140. Whence the law of moment of momentum?, pp. 588–612 of Mélanges Alexan- dre Koyré, Volume 1, Paris, Hermann. 140R. [corrected] Essay V of No. 165, below. 140TE. By C.T., with a different appendix: “Die Entwicklung des Drall- satzes”, Zeitschrift für Angewandte Mathematik und Mechanik 44, 149–158. 141. The modern spirit in applied mathematics, I.C.S.U. Review of World Science 6, 195–205. 142. Fluid mechanics before the Society for Natural Philosophy, Science 143, 382. 143. [Gratiae ob lauream honoris causa ab Academia Polytechnica Mediolanensi collatam], p. 40 of Cerimonie Celebrative del Centenario del Politicnico, 2–4 Aprile 1964, Milano. Other publications in 1964: Nos. 79L3, 120L, 144P2. PUBLISHED WORKS OF C.A. TRUESDELL xxvii
1965 144. Rational mechanics of deformation and flow [Bingham Medal Address], pp. 3–30 of Proceedings of the 4th International Congress on Rheology (1963), Volume 2. 144P1. Il punto di vista invariantivo nella meccanica dei corpi continui, Rendiconti del Seminario Matematico e Fisico di Milano 32 (1962), 91–104. 144P2. Die Rationale Mechanik der Kontinua, Zeitschrift für Angewandte Mathematik und Mechanik 44 (1964), 341–347. 144P2T. By A.I. Va ndiner: Racional na mexanika sploxno sredy, Mexanika No. 4/92 (1965), 103–111. 144RE. [with editorial changes in incorrect English] Buletinul Institutului Politehnic din Iasi (n.s.) 13 (17) (1967), 415–418; 14 (18) (1968), 131–136. 145. (Co-author W. NOLL) The Non-Linear Field Theories of Mechanics, Flügge’s Handbuch der Physik, Volume 3, Part 3, Berlin-Heidelberg-New York, Springer-Verlag, viii + 602 pp. 146. (Co-author B.D. COLEMAN) Homogeneous motions of incompressible ma- terials, Zeitschrift für Angewandte Mathematik und Mechanik 45, 547–551. 147. Fluids of the second grade regarded as fluids of convected elasticity [with an appendix by C.-C. WANG], The Physics of Fluids 8, 1936–1938. 148. Twenty prefaces in Continuum Mechanics II: The Rational Mechanics of Materials, New York, Gordon & Breach. 149. Sixteen prefaces in Continuum Mechanics III: Foundations of Elasticity The- ory, New York, Gordon & Breach. 150. Seventeen prefaces in Continuum Mechanics IV: Problems of Non-Linear Elasticity, New York, Gordon & Breach. 151. Preface to Wave Propagation in Dissipative Materials, a Reprint of Five Memoirs by B.D. COLEMAN,M.E.GURTIN,I.HERRERA R., and C. TRUES- DELL, New York, Springer-Verlag, 1965. Other publications in 1965: Nos. 72R, 73R, 80T2, 81R, 88T, 97R, 120R1, 120R2, 135 (corrections). 1966 152. Instabilities of isotropic perfectly elastic materials in simple shear, pp. 139– 142 of Proceedings of the Eleventh International Congress of Applied Me- chanics, Munich (1964). 153. Six Lectures on Modern Natural Philosophy, New York, Springer-Verlag, (viii) + 117 pp. 153T1. By Magdalena Staszel and Wojciech Zakrewski: Sze´s´c Wykładów Nowoczesnej Filozofii Przyrody, Warsaw, Panstwowe Wydawnictwo Naukowe, 1969, 143 pp. xxviii PUBLISHED WORKS OF C.A. TRUESDELL
153TE. [first three lectures] by I.T. Rabotnova: Glavy iz knigi «Xest lekci po sovremenno naturfilosofii», Mexanika No. 4/122 (1970), 99–136. 153RE. [Lecture 5], pp. 55–73 of A Taste of Science, ed. R.J. Tykodi, West- port, Connecticut, Technomic Publishing Co., 1975. 154. The Elements of Continuum Mechanics, New York, Springer-Verlag, [iv] + 279 pp. Corrected second printing, 1985. 154L1. Foundations of continuum mechanics, pp. 35–48 of Delaware Sem- inar in the Philosophy of Physics (1965), edited by M. Bunge, New York, Springer-Verlag, 1967. 154L2. Thermodynamics of deformation, pp. 101–112 of Non-Equilibrium Thermodynamics, Variational Techniques and Stability, Chicago, University of Chicago Press. 154L3. Thermodynamics of deformation, pp. 1–12 of Modern Develop- ments in the Mechanics of Continua, New York, Academic Press. 154L4. The nonlinear field theories in mechanics (1966), pp. 19–215 of Topics in Nonlinear Physics, Berlin-Heidelberg-New York, Springer- Verlag, 1968. 154L5. La thermodynamique de la déformation, pp. 207–231 of Canadian Congress of Applied Mechanics (1967), Proceedings, Volume 3, 1968. 154L6. Classical and modern continuum theories, pp. 79–92 of Polymers in the Engineering Curriculum, Proceedings of the Third Buhl In- ternational Conference on Materials, Pittsburgh, October 28–29, 1968, 1971. 155. Existence of longitudinal waves, Journal of the Acoustical Society of Amer- ica 40, 729–730. 156. Preface, pp. IVA–IVL, to the second edition of G.G. Stokes’s Mathematical and Physical Papers, New York, Johnson Reprint Co., Volume 1. Other publications in 1966: Nos. 43R, 44R, 98R, 163L1. 1967 157. Reactions of late baroque mechanics to success, conjecture, error, and failure in Newton’s Principia, The Texas Quarterly, Autumn, 238–258. 157R1. [corrected] Essay III in No. 165, below. 157R2. [of the preceding], pp. 2–47 of Mechanics 1970, American Acad- emy of Mechanics, 1970. 157R3. [of No. 157R1], pp. 192–232 of The Annus Mirabilis of Sir Isaac Newton, 1666–1966, edited by R. Palter, Cambridge, Massachusetts, M.I.T. Press, 1971. 157R4. [of No. 157R1] No. HS77 in The Bobbs-Merrill Reprint Series in History of Science, 1972. 158. Reply to the paper “Zum Begriff des Elastischen Körpers” by H. Ziegler and D. McVean, Zeitschrift für Angewandte Mathematik und Physik 18, 293. PUBLISHED WORKS OF C.A. TRUESDELL xxix
159. Review of C.W. Kilmister and J.E. Reeve’s “Rational Mechanics”, American Mathematical Monthly 74, 748–749. 160. Review of “Manuscripta Euleriana Archivi Academiae Scientiarum URSS, Tomus 1, Descriptio Scientifica”, Isis 58, 271–273. 160C. Same title, Scripta Mathematica 28 (1968), 210–211. 161. Review of “Manuscripta Euleriana Archivi Academiae Scientiarum URSS, Tomus 2, Opera Mechanica”, Isis 58, 273–274 = Scripta Mathematica 28 (1968), 211–212. 162. Review of I.E. Farquhar’s “Ergodic Theory in Statistical Mechanics”, Quar- terly of Applied Mathematics 24, 386. Other publications in 1967: Nos. 144RE, 154L1, 165P. 1968 163. Thermodynamics for beginners, pp. 373–387 of Irreversible Aspects of Con- tinuum Mechanics, Proceedings of the IUTAM Symposia Vienna, June 22–28, 1966, Wien/New York, Springer-Verlag. 163L1. Termodinamica per principianti, Atti e Memorie della Accademia Nazionale di Scienze, Lettere ed Arti, Modena (6) 8 (1966), 136– 144. 163L2. Termodinamica elementare, Rendiconti del Seminario Matematico dell’Università e del Politecnico di Torino 27 (1967/68), 19–33. 163T. By I.T. Rabotnova: Termodinamika dl naqina wix, Mexanika No. 3/121 (1970), 116–128. 164. Sulle basi della termodinamica delle miscele, Accademia Nazionale del Lin- cei, Rendiconti della Classe di Scienze Fisiche, Matematiche e Naturali (8) 44, 381–383. 164T. By C.T.: On the foundations of the thermodynamics of mixtures, pp. 273–297 of Mechanics 1971, American Academy of Mechanics, 1973. 165. Essays in the History of Mechanics, New York, Springer-Verlag, (x)+384 pp. 165P. [Essay I only] Leonardo da Vinci, The Myths and the Reality, Johns Hopkins Magazine, Spring, 1967, 29–42. [The title was supplied by the editor without informing C.T., who would not have accepted it.] 165A. “Essays in the History of Mechanics”, Archives Internationales d’Histoire des Sciences 23 (1970), 177–178. 165T. By J.C. Navascues Howard and E.T. Perez-Relaño: Ensayos de His- toria de la Mecánica, Madrid, Editorial Tecnos, 1975, 343 pp. 165TE. [Essay VI] by P. Zimmermann: Frühe kinetische Gastheorien, Hu- manismus und Technik 14 (1970), 1–29. See also Nos. 94, 109, 127, 140, 157. 166. Comment on longitudinal waves, Journal of the Acoustical Society of Amer- ica 43, 170. xxx PUBLISHED WORKS OF C.A. TRUESDELL
167. Parole [di ringraziamento per il V Premio internazionale con medaglia d’oro “Prof. Modesto Panetti”], Atti della Accademia di Scienze di Torino 102, 21–24. 168. Preface, pp. III–V of Continuum Theory of Inhomogeneities in Simple Bod- ies, Berlin-Heidelberg-New York, Springer-Verlag. Other publications in 1968: Nos. 128 (corrections) 144RE, 154L4, 154L5, 161 (second publication). 1969 169. Rational Thermodynamics. A Course of Lectures on Selected Topics,New York, McGraw-Hill, (x) + 208 pp. 169T1. By D.J. Fernandez Ferrer: Termodinámica Racional, Barcelona, Ed- itorial Reverte 1973, X + 221 pp. 169T2. By M. Fichera Colautti: Termodinamica Razionale, with an appen- dix, Contributi del Centro Linceo di Scienze Matematiche e Appli- cazioni No. 20, Roma, Accademia dei Lincei, 1976, 235 pp. 170. A precise upper limit for the correctness of the Navier–Stokes theory with respect to the kinetic theory, Journal of Statistical Physics 1, 313–318. 170T. By E.G. Berner: Toqny verhni predel korrektnosti teorii Nav e–Stoksa s uqetom kinetiqesko teorii, Mehanika No. 4/122 (1970), 137–142. 171. A teaching assistant remembers, Wall Street Journal, January 27, p. 14. [The title was supplied by the editor.] Other publications in 1969: Nos. 127T, 153T1, 157T. 1970 172. De pressionibus negativis in sinu et in pariete regionis fluido viscoso moventi impletae schedula, Annali di Matematica Pura ed Applicata (4) 84, 213– 224. 172A. Same title, Zentralblatt für Mathematik 207 (1971), 252–253. 173. Review of L. Suklje’s “Rheological Aspects of Soil Mechanics”, American Scientist 58, 210–211. Other publications in 1970: Nos. 153TE, 163T, 165A, 165TE, 170T, 181C. 1971 174. Letter to the Editor, The Johns Hopkins Magazine, Spring, 3–4. 175. Review of O. Penrose’s “Foundations of Statistical Mechanics”, American Scientist 59, 638. 176. Review of R.M. Christensen’s “Theory of Viscoelasticity: An Introduction”, American Scientist 59, 615. 177. Review of T.L. Hankins’ “Jean d’Alembert: Science and the Enlightenment”, Centaurus 16, 56–59. Other publications in 1971: Nos. 154L6, 157R3, 172A. PUBLISHED WORKS OF C.A. TRUESDELL xxxi
1972 178. Leonard Euler, supreme geometer (1707–1783), pp. 51–95 of Studies in Eigh- teenth Century Culture, Volume II, Irrationalism in the Eighteenth Century, Case Western Reserve University Press. 179. Review of G.A. Tokaty’s “A History and Philosophy of Fluidmechanics”, Nature 236, 84–85. 180. Review of C. Naux’s “Histoire des logarithmes de Neper à Euler, Tome II, La promotion des logarithmes au rang de valeur analytique”, Isis 63, 443–444. Other publications in 1972: Nos. 109R2 and 157R4. 1973 181. Is there a philosophy of science? An essay review of “Induction and Intuition in Scientific Thought” by Peter Brian Medawar, Centaurus 17, 142–172. 181C. Review of Medawar’s “Induction and Intuition in Scientific Thought”, Die Naturwissenschaften 57 (1970), 314. 182. (Co-author C.-C. WANG) Introduction to Rational Elasticity, Leyden, Wolters–Noordhoff, xii + 566 pp. 183. Introduction à la Mécanique Rationnelle des Milieux Continus [translation by D. Euvrard of an unpublished English text], vii + 367 pp., Paris, Masson [published as of 1974]. 184. Theoria de effectibus mechanicis caloris pridem ab illmo Sadi Carnoto verbis physicis promulgata nunc primum mathematice enucleata, Atti della Accad- emia di Scienze dell’Istituto di Bologna Classe die Scienze Fisiche (12) 10, 29–41. 184T. By B. Cimbleris, annotated: Carnot finalmente matematizado, Revista da Escola da Engenharia da Universidade Federal do Minas Gerais 2 (1974), 3–21. 185. The efficiency of a homogeneous heat engine, Journal of Mathematical and Physical Sciences (Madras) 7 [Milne-Thomson anniversary volume], 349– 371; 9 (1975), 193–194. 185A. Sul rendimento delle macchine termiche omogenee, Accademia Nazionale dei Lincei, Rendiconti della Classe die Scienze Fisiche, Matematiche e Naturali (8) 53, 549–553. 185T. By S. Benenti: Sul rendimento di una macchina termica omogenea, Rendiconti del Seminario Matematico dell’ Università e del Politec- nico di Torino 31 (1971/3), 47–68 (1974). 186. Mathematical Aspects of the Kinetic Theory of Gases, Notas de Matemática Física, Volume III, Instituto de Matemática, Universidade Federal do Rio de Janeiro, (viii) + 246 pp. 187. The scholar’s workshop and tools, Centaurus 17, 1–10. 188. Review of I. Bernard Cohen’s “Introduction to Newton’s Principia”, Physics Today, April, p. 59. 189. Review of “Die Werke von Jakob Bernoulli, Band I”, Isis 64, 112–114. xxxii PUBLISHED WORKS OF C.A. TRUESDELL
190. Review of W. Flügge’s “Tensor Analysis and Continuum Mechanics”, Amer- ican Scientist 61, 100. 191. Review of G.S. Gilmor’s “Coulomb and the Evolution of Physics and Engi- neering in Eighteenth-Century France”, Eighteenth-Century Studies 7 (1973/4), 213–225. Other publications in 1973: Nos. 164T, 169T1, 203PT, 224P. 1974 192. The meaning of viscometry in fluid dynamics, Annual Review of Fluid Me- chanics 6, 111–146. 193. (Co-author H. MOON) Interpretation of adscititious inequalities through the effects pure shear stress produces upon an isotropic elastic solid, Archive for Rational Mechanics and Analysis 55, 1–17. 194. Preface, pp. V–VI, The Foundations of Mechanics and Thermodynamics, Selected Papers by W. Noll, Berlin-Heidelberg-New York, Springer-Verlag. 195. A simple example of an initial-value problem with more than one solution, Istituto Lombardo, Accademia di Scienze e Lettere. Rendiconti, Classe di Scienze Matematiche e Naturali (A) 108, 301–304. Other publications in 1974: Nos. 184T and 185T. 1975 196. Pervonaqal ny kurs racional no mehaniki sploxnyh sred, translation by R.V. Gol dxte n and V.M. Entov of an unpublished English text, edited by P.A. ilin and A.I. Lur e, Moscow, Mir, 592 pp. 197. (Co-author H. MOON) Inequalities sufficient to ensure semi-invertibility of isotropic functions, Journal of Elasticity 5, 183–189. 197A. Same title, Zentralblatt für Mathematik 324 (1976), 513–514. 198. Early kinetic theories of gases, Archive for History of Exact Sciences 15, 1–66. 199. Les bases axiomatiques de la thermodynamique, Entropie 11, No. 63, 6–11; No. 64, 4–10; No. 65, 4–8. [The title is an unauthorized editorial replace- ment for the author’s “Trois conférences sur la structure conceptuelle de la thermodynamique, 1973”.] 200. Review of P. Costabel’s “Leibniz and Dynamics”, Historia Mathematica 2, 360–361. 201. Review of A.C. Eringen and E.S. Suhubi’s “Elastodynamics, Volume I, Finite Motions”, Journal of the Acoustical Society of America 58, 539–540. Other publications in 1975: Nos. 153RE, 185 (corrections), 213A. 1976 202. History of classical mechanics, Die Naturwissenschaften 63, 53–62, 119– 130. 202T. História da Mecânica clássica, Revista Brazileira de Ciências Mecânicas 4 (1982), No. 2, 3–17, and No. 3, 3–21. PUBLISHED WORKS OF C.A. TRUESDELL xxxiii
203. The scholar, a species threatened by professions, Critical Inquiry 2, 631– 648. 203A. Same title, Sociological Abstracts 26 (1978), 807. 203PT. By C. Wintzer and C.J. Scriba: Der Gelehrte: Eine durch die Profes- sionen bedrohte Spezies, Humanismus und Technik 17 (1973), 113– 127. [An entire page of text is accidentally omitted.] 203R. [corrected] Speculations in Science and Technology 3 (1980), 517– 532. 204. Improved estimates for the efficiencies of irreversible heat engines, Annali di Matematica Pura ed Applicata (4) 108, 305–323. 205. Review of “The Mathematical Papers of Isaac Newton, Volume VI”, edited by D.T. Whiteside, American Scientist 64, 230. 206. Questioni vecchie e nuove di termodinamica razionale (Corso Linceo di 1973), published as an appendix (pp. 209–235) to No. 169T2. 207. Irreversible heat engines and the second law of thermodynamics, Letters in Heat and Mass Transfer 3, 267–289. 207L. Macchine termiche irreversibili e la seconda legge della termodinam- ica, pp. 297–307 of Problemi attuali di meccanica teorica e appli- cata, Atti del Convegno Internazionale a ricordo di Modesot Panetti, Torino. 208. Review of “L. Euleri Opera Omnia Series IVA, Volume 1”, edited by A. Juške- vic,ˇ V. Smirnov, and W. Habicht, Eighteenth-Century Studies 9, 627–634 = [corrected] Archives Internationales d’Histoire des Sciences 27 (1977), 292–296. 209. (Co-authors G. ASTARITA and G.G. SARTI) Insegnamento della termodi- namica nella Facoltà di Ingegneria con i metodi della termodinamica razio- nale, La Chimica e l’Industria 58, 204–206. 210. Review of K. Walters’ “Rheometry”: “Theoretical Rheology”, edited by J.F. Hutton, J.R.A. Pearson, and K. Walters; R.R. Huilgol’s “Continuum Mechanics of Viscoelastic Liquids”; and P. Chadwick’s “Continuum Me- chanics”, American Scientist 64, 705–706. 1977 211. A First Course in Rational Continuum Mechanics, Part I: Fundamental Con- cepts, New York, Academic Press, xxiii + 280 pp. 212. (Co-author R. FOSDICK) Universal flows in the simplest theories of fluids, Annali della Scuola Normale Superiore di Pisa (IV) 2, 323–341. 212R. Pp. 330–348 of Volume 1 of Raccolta degli Scritti dedicati a Jean Leray, Scuola Normale Superiore, Pisa, 1978. 213. (Co-author S. BHARATHA) The Concepts and Logic of Classical Thermo- dynamics as a Theory of Heat Engines, Rigorously Constructed Upon the Foundation Laid by S. Carnot and F. Reech, New York, Springer-Verlag, xxii + 154 pp. xxxiv PUBLISHED WORKS OF C.A. TRUESDELL
213A. How to understand and teach the logical structure and the history of classical thermodynamics, pp. 577–586 of Volume 2 of Proceedings of the International Congress of Mathematicians, Vancouver, 1974, 1975. 214. Correction of two errors in the kinetic theory of gases which have been used to cast unfounded doubt upon the principle of material frame-indifference, Meccanica 11 (1976), 196–199. 215. Review of “Commentationes Mechanicae et Astronomicae, Commentationes ad Scientiam Navalem Pertinentes, Volumen Prius, Leonhardi Euleri Opera Omnia Series II, Volumen 20”, edited by W. Habicht, Centaurus 21, 76–77. 216. Review of “Lodovico Ferrari e Niccolò Tartaglia, Cartelli di Sfida Matemat- ica”, edited by A. Masotti, Isis 68, 643–644. 1978 217. [Address upon receipt of a Birkhoff Prize, 1978], The Mathematical Intelli- gencer 1, 99–101, 193. 218. Review of “Die Berliner und die Petersburger Akademie der Wissenschaften im Briefwechsel Leonhard Eulers, Teil 3, Wissenschaftliche und Wissen- schaftsorganisatorische Korrespondenzen 1726–1744”, edited by A.P. Juške- vic,ˇ E. Winter, P. Hoffmann, I.N. Klado, and Ju.Ch. Kopelevic,ˇ Isis 69, 301– 303. 219. Some challenges offered to analysis by rational thermomechanics, pp. 495– 603 of Contemporary Developments in Continuum Mechanics and Partial Differential Equations (Proceedings of the International Conference on Con- tinuum Mechanics and Partial Differential Equations, Rio de Janeiro, Au- gust 1977), edited by G.M. de LaPenha and L.A. Medeiros, Amsterdam, North-Holland. 1979 220. Absolute temperatures as a consequence of Carnot’s General Axiom, Archive for History of Exact Sciences 20, 357–380. 221. Schizzo concettuale della termodinamica per gli studiosi di meccanica, Bol- lettino della Unione Matematica Italiana (5) 16-A, 1–20. 222. Essay review of I. Szabò’s “Die Geschichte der Mechanischen Prinzipien”, Centaurus 23, 163–175. 223. [translation of an unpublished English text] Meccanica e Termomeccanica razionale (1974), pp. 33–52 of Volume IV of Enciclopedia del Secolo XX, Rome. 1980 224. (Co-author R.G. MUNCASTER) Fundamentals of Maxwell’s Kinetic Theory of a Simple Monatomic Gas, Treated as a Branch of Rational Mechanics, New York, Academic Press, xxvii + 593 pp. 225. The Tragicomical History of Thermodynamics, 1822–1854,NewYork, Springer-Verlag, XII + 372 pp. PUBLISHED WORKS OF C.A. TRUESDELL xxxv
225P. The Tragicomedy of Classical Thermodynamics (1971), Interna- tional Centre for Mechanical Sciences, Udine, Courses and Lec- tures, No. 70, Wien and New York, Springer-Verlag, 41 pp., 1973. [Publication in this form was not authorized by C.T. and was contrary to his wishes.] 225RE. The disastrous effects of experiment upon the early development of thermodynamics, pp. 415-423 of Scientific Philosophy Today. Essays in Honor of Mario Bunge, Dordrecht, Reidel, 1981. 226. Sketch for a history of constitutive relations, pp. 1–27 of Proceedings of the 8th International Congress on Rheology, Volume 1. 227A. The nature and function of constitutive relations, pp. 9-41 through 9-44 of Volum e 2 EPRI Workshop Proceedings: Basic Two-Phase Flow Modelling in Reactor Safety and Performance, Electric Power Research Institute, Palo Alto, March. 228. (Co-author J.F. BELL) §§3–6 of Physics of Music, pp. 666, 667 of Grove’s Dictionary of Music and Musicians, Volume 14. [Editorial revisions intro- duced a good many errors.] 229. Biographies [mangled by the editor and hence all but one unsigned] of D. Bernoulli, Chladni, Euler (co-author J.F. Bell), Helmholtz, Hooke, La- grange, Lambert, and Sauveur, p. 628 of Volume 2, pp. 289, 290 of Vol- ume 4, p. 292 of Volume 6, pp. 465, 466 and 686 of Volume 8, p. 361 and 397 of Volume 10, p. 524 of Volume 16 of Grove’s Dictionary of Music and Musicians. 230. Rapport sur le pli cachété No. 126, paquet présenté à l’Académie des Sci- ences dans le séance du 1er. Octobre 1827, par M. Cauchy, et contenant le Mémoire “Sur l’équilibre et le mouvement intérieur d’un corps, solide considéré comme un système de molécules distinctes les unes des autres”, Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences (Paris) 291 (Vie Académique), 33–46. 230A. “Cauchy’s first attempt at molecular theory of elasticity”, Bollet- tino di Storia delle Scienze Matematiche 1 (1981), 135–143. 231. Proof that my work estimate implies the Clausius–Planck inequality, Ac- cademia Nazionale dei Lincei, Rendiconti della Classe di Scienze Fisiche, Matematiche e Naturali (8) 68, 191–199. Other publication in 1980: No. 203R. 1981
232. [Paroles de reconnaissance] Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences (Paris) 292 (Vie Académique), 45. 233. The role of mathematics in science as exemplified by the work of the Bernoullis and Euler, Verhandlungen der Naturforschenden Gesellschaft in Basel 91, 5–22. xxxvi PUBLISHED WORKS OF C.A. TRUESDELL
234. [Translation of an unpublished text in English] Il calcolatore: rovina della scienza e minaccia per il genere umano, pp. 37–65 of La nuova ragione, Scienza e cultura nella società contemporanea, Bologna, Scientia/Il mulino. 234R. Notiziario della Unione Matematica Italiana 11 (1984), 52–80. Other publication in 1981: No. 230A. 1982 235. The kinetic theory of gases, a challenge to analysts, pages 321–344 of Contri- butions to Analysis and Geometry (The Philip Hartman Symposium), edited by D.N. Clark, G. Pecelli, and R. Sacksteder, Johns Hopkins University Press. 236. Our debt to the French tradition; our search for structure today, Scientia 76, 63–77. 236T. Il nostro debito verso la tradizione francese: le “catastrofi” e l’attuale ricerca di struttura, ibid. 79–87. [This translation is faulty at some essential points.] 227. Perpetual motion consistent with classical thermodynamics, Atti della Ac- cademia di Scienze di Torino 114 (1980), 433–436. 228. Fundamental mechanics in the Madrid Codices, pp. 309–324 of Leonardo e l’Età della Ragione, Milano, Scientia. 238T. [gravely defective] I primi principi di meccanica nei codici di Madrid, pp. 325–332 of ibid. Other publication in 1982: No. 202T. 1983 239. Euler’s contribution to the theory of ships and mechanics, Centaurus 26, 323–335. 240. The influence of elasticity on analysis: The classic heritage, Bulletin of the American Mathematical Society (2) 9, 293–310. 1984 241. Preface to the reissue of Handbuch der Physik, Volume VIa, pp. V–VIII of each of the four parts. 242. Correction of some errors published in this journal, Journal of Non-Newtonian Fluid Mechanics 15, 249–251. 243. An Idiot’s Fugitive Essays on Science: Methods, Criticism, Training, Cir- cumstances, New York, Springer-Verlag, XVII + 645 pp. Second printing, revised and augmented, 1987, xvii + 661 pp. 243C. Essay 33d with most of the quotations from Gulliver’s Travels omit- ted, pages vii–xxxix of L. Euler, Elements of Algebra,NewYork, Springer, 1984. 244. Rational Thermodynamics, A Course of Lectures on Selected Topics, with an appendix by C.-C. Wang, second edition, corrected and enlarged, to which PUBLISHED WORKS OF C.A. TRUESDELL xxxvii
are adjoined appendices by R.M. Bowen, G. Capriz, P.J. Chen, B.D. Cole- man, C.M. Dafermos, W.A. Day, J.L. Ericksen, M. Feinberg, M.E. Gurtin, R. Lavine, I.-S. Liu, I. Müller, J.W. Nunziato, S.L. Passman, M. Pitteri, P. Podio-Guidugli, D.R. Owen, P.A.C. Raats, M. Šilhavý, C. Truesdell, E.K. Walsh, and W.O. Williams, New York, Springer-Verlag, xvii+578 pp. 244LA. [of Appendix 1A] Classical Thermodynamics is a Mathematical Science, pp. 40–53 of Proceedings of the International Conference on Nonlinear Mechanics, Shanghai, October 28–31, 1985, Beijing, Science Press, 1985. 245. A puzzle divided: English and Continental chairs following a unique design of the early eighteenth century, Furniture History (John Hayward Memorial) 20, 56–60 and plates 76–80. Other publications in 1985: Nos. 154R, 244LA. 1986 246. A third line of argument in thermodynamics, pp. 79–83 of New Perspectives in Thermodynamics (workshop at the Institute for Mathematics and its Appli- cations, University of Minnesota, June, 1983), New York, Springer-Verlag. 247. What did Gibbs and Carathéodory leave us about thermodynamics?, pp. 101– 124 of New Perspectives in Thermodynamics (workshop at the Institute for Mathematics and its Applications, University of Minnesota, June, 1983), New York, Springer-Verlag. 248. Classical thermodynamics cleansed and cured, pp. 265–291 of Meeting on Finite Thermoelasticity, Contributi del centro Linceo interdisciplinare di Scienze Matematiche e loro applicazioni No. 76, Roma, Accademia Nazio- nale dei Lincei. Corrected reprint circulated in 1988. 249. Preface, p. V of The Breadth and Depth of Continuum Mechanics, A Collec- tion of Papers Dedicated to J.L. Ericksen on His Sixtieth Birthday, edited by C.M. Dafermos, D.D. Joseph, and F.M. Leslie, Berlin, Springer-Verlag. 1987 250. Great Scientists of Old as Heretics in “The Scientific Method”, Charlottes- ville, University of Virginia Press, 96 pp. 251. Preface, pp. V–VI of Analysis and Thermodynamics, A Collection of Papers Dedicated to W. Noll on His Sixtieth Birthday, edited by B.D. Coleman, M. Feinberg, and J. Serrin, Berlin, Springer-Verlag. Other publications in 1987: Nos. 111L1, 254A. 1988 252. Editorial, Archive for Rational Mechanics and Analysis 100 (1987/8), IX– XXII. 253. On the vorticity numbers of monotonous motions, Archive for Rational Me- chanics and Analysis 104, 105–109. xxxviii PUBLISHED WORKS OF C.A. TRUESDELL
254. Review of U. Bottazzini’s “The Higher Calculus: A History of Real and Complex Analysis from Euler to Weierstrass”, Archives Internationales d’Histoire des Sciences 38, 125–137. 254A. Same title, Bulletin of the American Mathematical Society (2) 17, 186–189 (1987). 1989 255. Preface, pp. V–VI of Analysis and Continuum Mechanics, A Collection of Pa- pers Dedicated to J. Serrin on His Sixtieth Birthday, edited by S.S. Antman, H. Brezis, B.D. Coleman, M. Feinberg, J.A. Nohel, and W.P. Ziemer, Berlin, Springer-Verlag. 256. [Comment on the article by Charles J. Sykes on The Johns Hopkins Univer- sity, September 6], Wall Street Journal, September 19. 257. Newton’s influence on the mechanics of the eighteenth century. 257T. (By K. Hutter) Newtons Einfluß auf die Mechanik des 18. Jahrhun- derts, pp. 47–73 of Die Anfänger der Mechanik: Newtons Principia gedeutet aus ihrer Zeit und ihrer Wirkung auf die Physik, edited by K. Hutter, Berlin, Springer-Verlag. 258. Maria Gaetana Agnesi, Archive for History of Exact Sciences 40, 113–142; corrections and additions, 43 (1992), 385–386. 1991 259. Foreword, pp. vii–x of Edoardo Benvenuto, An Introduction to the History of Structural Mechanics, New York, Springer-Verlag (2 Volumes). 260. Letter to the Editor, Isis 82, 90. 261. A First Course in Rational Continuum Mechanics, Volume 1, Second Edi- tion, corrected, revised, and augmented, Academic Press, xviii + 391 pp. 1992 262. Jacopo Riccati, un grande “Savant” del ’700: Vita, Studi, Carattere, pp. 1–25 of J. Riccati e la Cultura della Marca nel Settecento Europeo (Atti del Con- vegno Internazionale di Studio, Castelfranco Veneto, 5–6 Aprile 1990), edited by Gregorio Piaia and Maria Laura Soppelsa, Leo S. Olschki, Firenze. 263. Cauchy and the modern mechanics of continua (1989), Revue d’Histoire des Sciences 45, 5–24. 264. Sophie Germain: Fame earned by stubborn error, Bolletino di Storia delle Scienze Matematiche 11, 3–24. 265. Functionals in the modern mechanics of continua, Convegno Internazionale in Memoria di Vito Volterra (1990), Atti del Convegni Lincei 92, 225–242. 266. (Co-author W. NOLL) The Non-Linear Field Theories of Mechanics, Second Edition, Berlin-Heidelberg-New York, Springer-Verlag, X + 591 pp. 266T. (By Chen Zhaoxun) Fei xian xing chang zhi li xue li lun, National Intitute for Compilation and Translation, Taipei, I+III+VI+ 742 pp., 2001. PUBLISHED WORKS OF C.A. TRUESDELL xxxix
1993 267. Mechanics, especially elasticity, in the correspondence of Jacob Bernoulli with Leibniz, pp. 13–26 of Der Briefwechsel von Jacob Bernoulli, edited by A. Weil, in Die gesammelten Werke der Mathematiker und Physiker der Familie Bernoulli, Basel, Birkhäuser. 1994 268. A modern exposition of classical thermodynamics, in: La Termodinamica e la Termocinetica nelle Scuole di Ingegneria, a ricordo del Prof. Cesare Code- gone (Atti della giornata di studio tenutasi presso il Politecnico di Torino il 15 ottobre 1992), Atti della Accademia delle Scienze di Torino, Classe di Scienze Matematiche, Fisiche e Naturali 128, suppl. 2, 71–94. 1995 269. A che serve la storia delle scienze matematiche?, pp. 45–52 of Honoris Causa, Lezioni Dottorali di Insigniti di Laurea ad Honorem in Occasione del VI Centenario dell’Ateneo, Anno Accademico 1991/92, Ferrara, Università degli Studi di Ferrara. 1996 270. Jean-Baptiste-Marie Charles Meusnier de la Place (1754–1793): An histori- cal note, Meccanica 31, 607–610. 271. The thirty-fifth anniversary of this Archive, by the Editor, Archive for History of Exact Sciences 50, 1–4. 2000 272. (Co-author K.R. RAJAGOPAL) An Introduction to the Mechanics of Fluids, xiii + 277 pp., Birkhäuser, Boston. 2001 Other publication in 2001: No. 266T. 2004 273. (Co-author W. Noll) The Non-Linear Field Theories of Mechanics, Third Edition, edited by S.S. Antman, Berlin-Heidelberg-New York, Springer- Verlag, XXIX + 602 pp. Serials Edited by Clifford Ambrose Truesdell III
I. Serials, as Founder or Co-founder (Co-founder and co-editor T.Y. Thomas, later co-editor V. Hlavatý) Journal of Rational Mechanis and Analysis, Indiana University, 5 volumes, 1952–1956. Archive for Rational Mechanics and Analysis, Berlin, Springer-Verlag, 1957– 1989 (co-editor J. Serrin, 1967–1985). Archive for History of Exact Sciences, Berlin, Springer-Verlag, 1960–1990. Springer Tracts in Natural Philosophy, New York, Springer-Verlag, 1963– 1966; co-editor, 1967–1978; editor, 1979–2000. II. Other Serials Editor, Reihe für Mechanik, Ergebnisse der Angewandten Mathematik, Berlin, Springer, 1957–1962, 3 volumes in all. Member of the Editorial Committee, Rendiconti del Circolo Matematico di Palermo, 1971–2000. Member of the International Editorial Committee, Meccanica, 1974–1994. Member of the International Editorial Committee, Annali della Scuola Nor- male Superiore di Pisa, 1974–1999. Member of the International Editorial Board, Il Nuovo Cimento B, 1979–1987. Member of the Editorial Council, Bollettino di Storia delle Scienze Matema- tiche, Unione Matematica Italiana, 1979–2000. Member of the Editorial Board, Speculations in Science and Technology, 1980– 1987. Member of the Editorial Board, Ganita-Bhãrati, 1981–1993. Member of the Editorial Board, Stability and Applied Analysis of Continuous Media, 1991–1993.
xli Eulogium
CLIFFORD AMBROSE TRUESDELL III (b. February 18, 1919; d. January 14, 2000)
Clifford Ambrose Truesdell III died on January 14, 2000. This man of mathematics, science and natural philosophy focused his strong sense of history and his talents and taste for identifying major advances in rational mechanics to establish a re- naissance in mechanics and materials research that has prospered since the middle of the 20th century. He contributed substance and spirit to the areas of continuum mechanics, thermodynamics and kinetic theory, challenged the establishment and its dogmatic thinking, and engaged the community of young researchers with a new and fundamental direction of inquiry which concentrated on foundations, structure and logical implication. His letters, his books, his essays, his university courses, his co-founding of the Journal for Rational Mechanics and Analysis, his founding of the Archive for Rational Mechanics and Analysis,theArchive for History of Exact Sciences, Springer Tracts in Natural Philosophy, the Society for Natural Philoso- phy and his support of the research of other scientists were exceptional. His joint encyclopedic articles, The Classical Field Theories in 1960 and The Non-Linear Field Theories of Mechanics in 1965, were masterful, erudite, comprehensive, and pioneering works of lasting value. Clifford Truesdell was a scholar of immense creativity, a linguist, a connoisseur of the arts and a historian unfettered by fashion. Throughout his life, he taught us to preserve scholarship, to question foundations and to follow a path of reason with principle, purpose and passion. His actions constantly provided a stimulus, an environment and a framework for scientific discovery. He made a profound contribution to our science.
ROGER FOSDICK University of Minnesota Minneapolis
xliii Bloomington, Indiana, 1959 Memories of Clifford Truesdell
BERNARD D. COLEMAN Department of Mechanics and Materials Science, Rutgers University, 98 Brett Road, Piscataway, NJ 08854-8058, U.S.A.
Received 10 February 2003; in revised form 2 March 2003
Below is a shortened version of the text of a talk given at the Meeting in memory of Clifford Truesdell held in Pisa in November of 2000 and at the Symposium on Recent Advances and New Directions in Mechanics, Continuum Thermodynamics, and Kinetic Theory held in Blacksburg in June of 2002. Appended to that text is the Curriculum Vita of Professor Truesdell as he kept it up-to-date until October 1993, at which time, with his approval, I had it transcribed into its present format.
Clifford Truesdell and Thermodynamics I consider myself to have been among the most fortunate of men: I have had a teacher and friend, indeed, more than a friend, in effect, an elder brother, who was the leading scholar in my science and who gave me encouragement, sound advice, and every type of help that I might need, even when I did not know that I needed it. Most important of all, he taught me that careful scholarship and the persistent search for insight and understanding are far more important than facile skill in the use of contemporary techniques for the solution of currently popular problems. Clifford Ambrose Truesdell III was born in Los Angeles, February 18, 1919. In his 23rd and 24th years he received, from the California Institute of Technology, the B.S. Degree in Mathematics, the B.S. Degree in Physics, and the M.S. Degree in Mathematics, and, in addition, from Brown University, a Certificate in Mechan- ics. In his 25th year he received, from Princeton University, the Ph.D. Degree in Mathematics. In the course of his career he received numerous awards and prizes, among which are: the Euler medal of the USSR Academy of Sciences, which was received twice, in 1958 and 1983, the Bingham Medal of the Society of Rheology, the Panetti Prize and Gold Medal of the Accademia di Scienze di Torino, the Birkhoff Prize of the American Mathematical Society and the Society for Industrial and Applied Mathematics, and the Ordine del Cherubino of the Università di Pisa. He received honorary doctorates from five universities and was awarded membership in twelve international academies of science; among them is the illustrious Italian Accademia Nazionale dei Lincei.
1 C.-S. Man and R.L. Fosdick (eds.), The Rational Spirit in Modern Continuum Mechanics, 1–13. © 2004 Kluwer Academic Publishers. Printed in the Netherlands. 2 B.D. COLEMAN
Although I was an undergraduate student at Indiana University from February 1948 to June 1951, and hence my stay in Bloomington Indiana did overlap, albeit partially, that of Clifford and Charlotte Truesdell, we first met years later, in the Spring of 1958, at a scientific meeting in Lancaster Pennsylvania on the subject of rheology. The meeting was followed by an exchange of letters about thermody- namics, which was in turn followed by a one-week visit with Clifford and Charlotte Truesdell at their house in Bloomington in the winter of 1958 and not long after that by his two week visit to the Mellon Institute. If you bear with me, I should like to tell you about events of that period from the point of view of one whose subsequent view of science, the arts, and life itself were completely changed by his interaction with Clifford Truesdell. In the summer of 1957 I left a position in the chemical industry to become a Senior Fellow of the Mellon Institute in Pittsburgh, and soon after my arrival I started to attend courses given by Walter Noll on continuum mechanics and related branches of mathematics. Before the academic year was over, we both went to the rheology meeting in Lancaster. The list of speakers for that meeting included Clifford Truesdell, Walter Noll, Jerry Ericksen, and Ronald Rivlin. At a luncheon that was held there, Walter Noll and I were sitting at a table with several persons other than those just mentioned, and I expressed the view that although we were all told in school that thermodynamics is a closed subject whose general principles are known and pertain to only equilibrium states or to processes that stay so close to equilibrium that all departures from equilibrium are governed by linear constitutive relations, I could not believe that such is the case, and I felt that our knowledge of what the science of thermodynamics could be was in some way analogous to what the cultivators of mechanics knew about their subject at the time of the publication of Newton’s Principia and the early work of the Basel School. All within hearing, with the exception of Walter Noll, agreed with each other that I was wrong. Walter agreed with me and suggested that I read certain papers of Clifford Truesdell and that we talk more when we were back in Pittsburgh. We did talk more, much more, and I, with my eyes open wide with excitement, read whatever I could of Clifford Truesdell’s writings on thermodynamics. There were papers that carried forward Maxwell’s idea that a properly formu- lated theory of diffusion of mass in fluid mixtures should account, as Fick’s Law does not, for balance of linear and angular momentum. There were passages decrying the vagueness that rendered nearly empty, at least for mathematicians, the text-book versions of the Second Law of Thermodynamics. Among these was a footnote to a discussion of classical thermodynamics in his paper, The Mechanical Foundations of Elasticity and Fluid Dynamics, published in 1952 in Volume 1 of the Journal for Rational Mechanics and Analysis. The foot- note urges the rational student “to cleave the stinging fog of pseudo-philosophical mysticism” hiding the mathematics behind a certain formulation of the Second Law. It was clear that he saw that thermodynamics, far from being a closed subject, was in a terrible state. MEMORIES OF CLIFFORD TRUESDELL 3
Today we know that he was then doing research that would supply the key to setting things straight. In that paper of 1952 there appears a preliminary version of what he, with great generosity, called the Clausius–Duhem inequality,andwhich appeared in its present form in The Classical Field Theories of Mechanics,by Clifford Truesdell and Richard Toupin, published in 1960 in the Handbuch der Physik, Vol. III: d q · n r H − da + dm, H = η dm. dt ∂P θ P θ P Here H is the total entropy of the part P , θ is the thermodynamical temperature, q is the inward directed heat flux, r is the supply of heat from external sources, and n is the outward directed unit normal vector. On reading those two works one sees that before 1960 it was clear to Clifford Truesdell that that inequality is the correct mathematical form of the second-law of thermodynamics for the materials or systems such that the total entropy H is an integral over P of an entropy density η, and nearly all the thermodynamical systems that we consider in continuum physics have that property. The question that seemed open at the time was the following: How does one use the inequality? Is it a restriction on the process, or a relation to be obeyed by all processes? In the early 1960’s Walter Noll put to me the idea, as if it should be obvious to every one, that the inequality is a restriction on all processes that are admissible in the material of which the body is composed, and, because one defines each material by giving a set of constitutive relations, the Clausius–Duhem inequality, as it must hold for all processes compatible with those relations, becomes a restriction on constitutive relations. In another act of great generosity, Walter suggested that we develop the idea together. It took awhile to sort the argument out and to present it in a way that would convince the wary. The paper was written while he and I were on sabbatical leave and were guests of Clifford Truesdell at Hopkins. Shortly thereafter, I used this approach to the Clausius–Duhem inequality to render mathematical ideas I had been struggling to express for years about thermo- dynamical restrictions on materials with gradually fading memory. Many of the people in this room have done research on the Clausius–Duhem inequality, in the study of its implications for new classes of constitutive relations, in the study of its implications for the theory of the evolution of singular surfaces, or in the study of its logical relation to other mathematically precise statements of the second law. I am certain that I do not exaggerate when I say that every one of them feels a deep debt of gratitude to Clifford Truesdell for finding the tool to cleave the fog that once obscured the science of thermodynamics. But we have even greater debts to him. I should like to return to the time of that rheology meeting in Lancaster and elab- orate on my own debt to him. A few months after that meeting, I received a letter from Clifford in which he said that he heard from Walter Noll that I had studied at The remark was appropriate to both the meeting in Pisa and symposium in Blacksburg. 4 B.D. COLEMAN
Yale, had read some of the works of J. Willard Gibbs, and knew some things about thermodynamics. He then asked if I could clarify some passages in Gibbs’ paper on The Equilibrium of Heterogeneous Substances. With Walter’s help I studied those passages for months and finally sent off a long letter in which Clifford’s questions were answered but issues were raised which for decades affected my work on the stability of thermodynamical systems. In his reply he invited me to visit him and Charlotte in Bloomington. Many years later, in the summer of 1993, I wrote to him about that period and with your indulgence I shall read from the letter. I know there are others here who could say similar things about our beloved friend, and when I have finished you will see what I mean about our greater debt to him. What I read now are three brief consecutive paragraphs out of a long letter.
“My correspondence with you about Gibbs’ conditions for the stability of fluid phases occurred in this happy period. I visited your house in Bloomington for a week in, I believe, the winter of 58–59. That visit had a major influence on my view of what is important. As if struck by lightening, like the one Christians call Paul, I suddenly saw clearly something for which I was ready by instinct. In my case it was not a new religion, but a way to get out of a rut, by seeking to study the languages, the writings, the art, the customs, the lives, and the music and diversions of the ages in which our science originated and the works we admire were produced. Your example gave me the impetus to try to learn properly other languages. I became serious in my study of Italian. In later years I have tried to improve my French. (In my 62nd year, I started working on Attic and Homeric Greek, but was too old for such efforts.)”
“The influence of our friendship on my intellectual development has been too great to describe in a few phrases couched in generalities. A brief summary is impossible. Only examples will do, and there is space here for only one.”
“That one concerns my behavior when I am writing something for publication. Invariably, upon completion of a passage I put down the pencil and ask myself: ‘What would Clifford say if he saw what I have just written?’ The subsequent imagined conversation is often such that I feel obliged to rewrite the passage.”
Would that he were here now, to help us live up to the standards of scholarship and clarity that he set for us! MEMORIES OF CLIFFORD TRUESDELL 5
Curriculum Vita of Clifford Ambrose Truesdell III Born in Los Angeles, California, February 18, 1919
Studies European Travel and Private Study, 1936–1938. California Institute of Technology: B.S. (Mathematics), 1941; B.S. (Physics), 1941; M.S. (Mathematics), 1942. Brown University: Certificate in Mechanics, 1942. Princeton University: Ph.D. (Mathematics), 1943.
Primary Employment California Institute of Technology: Assistant in history, debating, and mathematics, 1940–1942. Brown University: Assistant in Mechanics, 1942. Princeton University: Instructor of Mathematics, 1942–1943. University of Michigan: Instructor of Mathematics, 1943–1944. Radiation Laboratory, Massachusetts Institute of Technology: Staff Member, 1944–1946. U.S. Naval Ordnance Laboratory, White Oak, Maryland: Chief, Theoretical Mechanics Subdivision, 1946–1948. U.S. Naval Research Laboratory, Washington, D.C.: Head, Theoretical Mechanics Section, 1948–1950. Indiana University: Professor of Mathematics, 1950–1961. Johns Hopkins University: Professor of Rational Mechanics, 1961–1989; Emeritus, 1989–
Part-time, Temporary, and Visiting Appointments University of Maryland, College Park: Lecturer in Mathematics, 1946–1947, Assistant Professor of Mathematics, 1947–1949, Associate Professor of Mathematics, 1949–1950. U.S. Naval Research Laboratory, Washington, D.C.: Consultant, 1951–1955. Universität Marburg an der Lahn: Gastprofessor, 1957. Mathematics Research Center, U.S. Army, University of Wisconsin, Madison: Member, 1958. 6 B.D. COLEMAN
Mellon Institute, Pittsburgh: Visitor, 1959. Socony-Mobil Research Laboratory, Dallas, Texas: Colloquium Lecturer, 1960. U.S. National Bureau of Standards, Washington, D.C.: Consultant, 1950–1962. University of California at Los Angeles: Special Lecturer, 1963. Technische Universität Berlin–Charlottenburg: Gastprofessor, 1964. University of Washington, Seattle: Walker-Ames Professor, 1964. Australian Mathematical Society Summer Research Institute, Melbourne: Lecturer, 1965. Syracuse University, New York: Distinguished Visiting Professor, 1965. International School on Nonlinear Problems in Physics, München: Lecturer, 1966. Università di Pisa: Visiting Lecturer, 1966, 1973–1975, 1978, 1980, 1982, 1985, 1987. Sandia Corporation, Albuquerque, N.M.: Visitor, 1966. Drexel Institute of Technology, Philadelphia: Seventy-Fifth Anniversary Lecturer, 1966–1967. Accademia dei Lincei, Roma: Professore Linceo, 1970, 1973. Universidade Federal do Rio de Janiero: Lecturer for the Coordenacão dos Programas de Pós-Graduacão de Engenharia and the Instituto de Matemática, 1972. Georgia Institute of Technology, Atlanta: Consultant, 1973–1974. Scuola Normale Superiore, Pisa: Ospite Linceo, 1974. Brookhaven National Laboratories, Long Island: Consultant (Advanced Codes Review Committee, U.S. Nuclear Regulatory Commission), 1975–1983. University of Delaware: Bicentennial Scholar in Residence, 1976. Instituto de Ingenieria Mecánica y Mecánica Teórica y Applicada, Universidad Autónoma de Mexico, Mexico D.F.: Lecturer, 1977. Università di Bologna: Professore Visitatore, 1978, 1987, 1988. Université Catholique de Louvain: Visiting Professor, 1979. MEMORIES OF CLIFFORD TRUESDELL 7
Institut des Hautes Études Scientifiques, Bures-sur-Yvette: Visitor, 1981. Cornell University: First Distinguished Visiting Professor of Theoretical and Applied Mechanics, 1982. Università di Firenze, Scuola di Architettura: Professore à Contratto, 1985. Scuola di Ingegneria Strutturale, Universitá di Roma “La Sapienza”: Visiting Professor, 1990.
Short Lecture Series and Named Single Lectures University of Toronto, 1949. Sorbonne, Paris, 1949, 1955. State University of Iowa, 1956. Indiana University, 1959. Scuola Internazionale di Fisica, Varenna, 1960. Universitá di Padova, 1961. Universitá e Politecnico di Milano, 1961. Midwest Mechanics Seminar Tour, 1962. Academy of Sciences, Warsaw, 1963, 1964. The Johns Hopkins University, 1965. Gibson Lecturer in the History of Mathematics, University of Glasgow, 1965. Distinguished Visiting Lecturer, Centennial of the University of Kentucky, 1965. NSF Conference on Recent Developments in Continuum Mechanics, Virginia Polytechnic Institute, 1966, 1969. Koerner Lecturer, Simon Fraser University, Burnaby, BC, 1969. Distinguished Lecturer in Chemical Engineering, University of Rochester, 1970. International Centre of Mechanical Sciences, Udine, 1971. Centennial Lecturer in Engineering Mechanics, Virgina Polytechnic Institute, 1971. Section de Transferts Thermiques, Centre de Recherches Nucléaires, Grenoble, 1973. Bajer Lecture, Princeton University, 1975. Durelli Lecture, Catholic University of America, 1977. International Symposium on Continuum Mechanics and Partial Differential Equations, Universidade do Rio de Janeiro, 1977. University of Chicago, 1979. Thermofluids Lectures, Departments of Chemical and Mechanical Engineering, School of Mines, University of Arizona, Tucson, 1980. Ritt Lectures, Department of Mathematics, Columbia University, 1982. 8 B.D. COLEMAN
First MTU Lectures in Engineering Science, Michigan Technical University, Houghton, 1983. St. Andrews University, Scotland, 1983. Distinguished Scientist Lecture, Trinity University, San Antonio, TX, 1984. Allen Lecture in Mathematical Sciences, Rensselaer Polytechnic Institute, 1985. Page-Barbour Lectures, University of Virginia, Charlottesville, 1985. Franklin Lecture, Auburn University, Auburn, AL, 1986.
Invited Single Lectures to Meetings and Symposia American Mathematical Association (Baltimore, 1948). American Physical Society (Charlottesville, 1949; State College, PA, 1953; San Diego, CA, 1971). International Conference on Theoretical Fluid Mechanics, Harvard, 1950. Conference on Elasticity, University of Maryland, 1952. Sigma Xi (Indiana University, 1952; State University of Iowa, 1956; Illinois Institute of Technology, 1960; Georgia Institute of Technology (Monie A. Ferst Memorial Lecture), 1969; University of Tennessee, 1976; McGill University, 1976. Symposium on Ultrasonic Absorption and Dispersion in Fluids, Brown University, 1952. Discussion Meeting on the Second Viscosity of Fluids, The Royal Society, London, 1953. First Midwestern Conference on Solid Mechanics, University of Illinois, 1953. Symposium of the Office of Ordnance Research and the American Mathematical Society, Chicago, 1954. American Society for Engineering Education, Urbana, 1954. Gesellschaft für Angewandte Mathematik und Mechanik (General Lectures), Berlin, 1955; Hamburg, 1957. Sixth Conference on Hydraulics (General Lecture), Iowa City, 1955. Eulerfeier (Main Lecture), Basel, 1957. Washington Philosophical Society, 1958. Accademia Nazionale di Scienze, Lettere ed Arti (Inaugural Address), Modena, 1960. Celebrazioni Archimedee, Siracusa, 1961. I.U.T.A.M. Symposium on Second-order Effects in Elasticity, Plasticity, and Fluid Dynamics (General Lecture), Haifa, 1962. Fourth U.S. National Congress of Applied Mechanics (General Lecture), Berkeley, 1962. Summer Conference on Non-ideal Mechanical Behavior, Princeton, 1962. American Society of Mechanical Engineers, Washington, 1962. Symposium on Hemodynamics and Hydrodynamics, Baltimore, 1962. MEMORIES OF CLIFFORD TRUESDELL 9
International Congress of Rheology (Bingham Medal Address), Providence, 1963. Society for Natural Philosophy at Pittsburgh, 1963; Notre Dame, 1971; Seattle, 1972; Pisa, 1974, 1978; Williamsburg (Fifteenth Anniversary Lecture), 1978; Rolla, 80; Brown, 1983; Baltimore, 1987; Pittsburgh (Walter Noll retirement symposium), 1993. Eleventh International Congress of Applied Mechanics, Munich, 1954. Philosophy of Science Seminar, University of Delaware, 1965. Convegno dei Meccanici Italiana, Modena, 1966. I.U.T.A.M. Symposium on Irreversible Thermodynamics in Continuous Media, Vienna, 1966. Commemoration of Newton’s Annus Mirabilis, Austin, 1966. First Canadian National Congress of Applied Mechanics (General Lecture), Quebec, 1967. Third Buhl International Conference on Materials, Mellon Institute, 1968. Symposium on “The Interplay between Mathematics and Physics – The Rise of Mathematical Physics” at the University of Aarhus, 1970. Southwest Graduate Research Conference, Houston, Texas, 1971. Second Annual Meeting of the American Society for Eighteenth Century Studies, College Park, Maryland, 1971. Banquet address, meeting of the History of Science Society and Society for the History of Technology, Washington, 1972. Sectional address (History and Paedagogy), International Congress of Mathematicians, Vancouver, 1974. Address at the Engineering Commencement, Tulane University, New Orleans, 1976. Address on receipt of a Birkhoff Prize, Annual meeting of the American Mathematical Society and the Society for Industrial and Applied Mathematics, 1978. Euromech Colloquium, Pisa, 1978. Italo–American Co-operative Science Seminar, Venice, 1978. Organizer’s address, Special Symposium on “Conceptual Analysis in Rational Thermomechanics”, Summer meeting of the American Mathematical Society, Providence, 1978. Keynote address on Constitutive Relations, E.P.R.I. Workshop on Two-Phase Flow, Tampa, Florida, 1979. Colloquium on Continuum Thermodynamics, Society of Engineering Science, Northwestern University, Evanston, 1979. Celebration of the 75th anniversary of Scientia, Milano, 1980. Plenary lecture, 8th International Congress of Rheology, Naples, 1980. General Lecture, Society of Engineering Science, Atlanta, 1980. Colloquium on the History of Mathematics, Winter meeting of the American Mathematical Society, San Francisco, 1981. 10 B.D. COLEMAN
Keynote address, 11th Southeastern Conference on Theoretical and Applied Mechanics, Huntsville, Alabama, 1982. Joint Session on the History of Mathematics, meetings of the American Mathematical Society and American Mathematical Association, Toronto, 1982. Festakt Daniel Bernoulli (Main Lecture), Basel, 1982. Leonardo e l’età della ragione (Congress organized by Scientia and the governing bodies of Milano and Lombardy), Milano, 1982. 25th British Theoretical Mechanics Colloquium, Manchester, 1983. International Symposium, “The Codex Hammer in Context”, Walters Art Gallery, Baltimore, 1983. Workshop on the Laws and Structure of Continuum Thermomechanics, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, 1983. Convegno sul tema “Termoelasticità finita”, Accademia Nazionale dei Lincei, Rome, 1985. International Conference on Nonlinear Mechanics, Shanghai, 1985. 900th Anniversary celebrations, University of Bologna, 1987, 1988. 300 Years of Gravitation, University of Cambridge, England, 1987. International Conference dedicated to the Tricentenary of the Publication of Newton’s Principia, U.S.S.R. Academy of Sciences, Moscow, 1987. First Plenary Lecture, 4th National Congress of Theoretical and Applied Mechanics, Coimbra, Portugal, 1987. Celebration of the 300th anniversary of Newton’s Principia, Technische Hochschule Darmstadt, 1988. First Plenary Lecture, III International Workshop on Mathematical Aspects of Fluid and Plasma Dynamics, Salice Terme, Italy, 1988. First Plenary Lecture, IX Congress Nazionale dell’Associazione Italiana di Meccanica Teorica ed Applicata, Bari, 1988. Imola Conference, Università degli Studi di Bologna, September 5–7, 1988. Inaugural Charles E. Foster Lecture, School of Aerospace and Mechanical Engineering, University of Oklahoma, Norman, 1990. Convegno Internazionale “I Riccati e la cultura della Marca nel Settecento Europeo”, Castelfranco Veneto, 1990. First Rutgers Conference on Theoretical Mechanics: The Dynamics of Rods, August 24–27, 1990, Rutgers University, New Brunswick. Convegno Internazionale in Memoria di Vito Volterra, Accademia Nazionale dei Lincei, October 8–11, 1990.
Editorial Positions Co-founder and Co-editor, Journal of Rational Mechanics and Analysis, 1952–1956. MEMORIES OF CLIFFORD TRUESDELL 11
Editor or Co-editor, Leonhardi Euleri Opera Omnia, Series II, Vols. 10–13, 18–19, 1952–1971. Co-editor, Handbuch der Physik, (Springer) Vols. 8/I, 8/II, 9 and 6a/1–6a/4, 1956–1974. Founder and Editor, Archive for Rational Mechanics and Analysis, 1957– 1967, Co-editor, 1967–1985; Editor, 1985–1989. Editor, Reihe für Mechanik, Ergebnisse der Angewandten Mathematik, 1957– 1962. Founder and Editor, Archive for History of Exact Sciences, 1960–. Founder and Editor, Springer Tracts in Natural Philosophy, 1962–1966; Co-editor, 1967–1978; Editor, 1979–. Co-editor, Studies in the Foundations, Methodology and Philosophy of Science, 1966–1970. Member of the Editorial Board, Rendiconti del Circolo Matematico di Palermo, 1971–. Member of the Editorial Board, Annali della Scuola Normale Superiore, Pisa, 1974–. Member of the Editorial Board, Meccanica, 1974–. Member of the International Editorial Board, Il Nuovo Cimento B, 1979– 1981; Il Nuovo Cimento D, 1982–1987. Member of the Editorial Council, Bollettino di Storia delle Scienza Matematiche, Unione Matematica Italiana, 1979–. Member of the Editorial Board, Speculations in Science and Technology, 1980–1987. Member of the Editorial Board, Ganita-Bharati, 1981–. Member of the Editorial Board, Stability and Applied Analysis of Continuous Media, 1991–.
Organizational Positions U.S. Correspondent, International Mathematical News (Austria), 1952–1956. Member, Committee on Applied Mathematics, U.S. National Research Council, 1954–1956. Sponsor for Elasticity, American Society for Mechanical Engineers, 1956– 1958. General Chairman, Conference on the Foundations of Mechanics and Thermodynamics, National Bureau of Standards, 1959. Member of organizing committee, International Conference on Rarefied Gas Dynamics, Berkeley, California, 1960. Member of organizing committee, International Congress of Logic and the Philosophy of Science, Stanford, 1960. Member of organizing committee, I.U.T.A.M. Conference on Second-order Effects in Elasticity, Plasticity, and Fluid Mechanics, Haifa, 1962. 12 B.D. COLEMAN
Co-founder, Society for Natural Philosophy, 1963; Director, 1963–1984; Secretary, 1963–1965, 1970–1971, 1980–1981; Chairman, 1967–1968, 1983–1984; Member of the Program Committee, 1975–1976. Co-chairman of the local committee and Chairman of the Round-Table Discussion, meetings of the Society for Natural Philosophy at Baltimore, 1963, Bressanone, 1965, Chairman of a Round-table Discussion at the meetings at Chicago, 1966; Cincinnati, 1970; Cincinnati, 1977; Madison, 1984. Co-chairman of the local committee for the meeting at Baltimore, 1965. Coordinator, C.I.M.E. Course on Nonlinear Continuum Theories, Bressanone, 1965. Co-Chairman, First Joint Italian-American Cooperative Science Seminar, Udine, 1971. Member of the Scientific Committee, Symposium on Problems of Plasticity, Polish Academy of Sciences, Warsaw, 1972. Co-Chairman, Italian–American Cooperative Science Seminar, Udine, 1974. Organizer of Special Symposium “Conceptual Analysis in Rational Thermomechanics”, Summer Meeting, American Mathematical Society, Providence, 1978. Member of the Steering Committee, International Conference on Nonlinear Mechanics, Shanghai, 1985.
Honorary Doctorates Dott.ing.h.c. in Mechanical Engineering (Fluid Mechanics and History of Science), Centenary of the Politecnico di Milano, 1965. D.Sc. (Engineering), Tulane University, 1976. Fil. D. h.c. (Physics), Uppsala University, 1979. Dr. Phil. h.c. (Sciences), University of Basel, 1979. Dott. mat. h.c. (Mathematics), University of Ferrara, 1992.
Memberships in National or International Academies of Science, etc. Socio Onorario dell’Accademia Nazionale di Scienze, Lettere ed Arti, Modena, from 1960. Membre Correspondent de l’Académie Internationale d’Histoire des Sciences, Paris, 1961–1968. Membre Effectif from 1968. Membro Straniero dell’Istituto Lombardo Accademia di Scienze e Lettere, from 1968. Socio Corrispondente Straniero dell’Istituto Veneto di Scienze, Lettere ed Arti, from 1969. Accademico Corrispondente Straniero dell’Accademia delle Scienze dell’Istituto di Bologna, from 1971. MEMORIES OF CLIFFORD TRUESDELL 13
Socio Straniero dell’Accademia Nazionale dei Lincei Rome, from 1972. Membre Titulaire de l’Académie Internationale de Philosophie des Sciences, Bruxelles, from 1974. Socio Straniero dell’Accademia delle Scienze, Torino, from 1978. Membro Corrispondente, Academia Brasileira de Ciências, from 1981. Honorary Foreign Member, Polish Society for Theoretical and Applied Mechanics, from 1985. Membrum Ordinarium, Regia societas scientiarum Upsaliensis, from 1987. Fellow, American Academy of Arts and Sciences, from 1991.
Awards, Prizes California Institute of Technology, Institute Scholar and LaVerne Noyes Scholar, 1938–1941; Conger Peace Prize, 1940, 1941. Fellow of the John Simon Guggenheim Memorial Foundation, 1957. Euler medal of the USSR Academy of Sciences, 1958, 1983. Senior Post-Doctoral Fellow, U.S. National Science Foundation, 1960–1961. Bingham Medal of the Society of Rheology, 1963. Gold Medal and International Prize “Modesto Panetti” (applied mechanics), Accademia di Scienze di Torino, 1967. Birkhoff Prize (applied mathematics), American Mathematical Society and Society for Industrial and Applied Mathematics, 1978. Ordine del Cherubino, University of Pisa, 1978. Visiting Research Scholar, Japan Society for the Promotion of Science, Kyoto, 1980. Senior U.S. Scientist Award (Humboldtpreis), West Germany, 1985.
Clifford Truesdell (1919–2000), Historian of Mathematics
ENRICO GIUSTI Department of Mathematics, University of Florence, Italy Received 26 August 2003
In many ways, the research performed by Clifford Truesdell on the history of mathematics can be summarized by the title of the first article, at the beginning of the first issue of the Archive for the History of Exact Sciences: “A program towards rediscovering Rational Mechanics in the age of reason”. Two themes come together and will always recur in Truesdell’s research. The first one is reason: in an age when the term “enlightenment” took up also negative meanings, Truesdell never stopped claiming, in a decisive and clear language, the supremacy of reason as the only guide to human behavior. He saw the end of this “age of reason” in the French revolution, the source, in his opinion, of all atrocities of modern times, from the lager to the gulag, from the nuclear threat to universal suffrage. Truesdell sees all subsequent historical events in an exclusively negative way. Although we cannot understand or agree with Truesdell on all these, we see that his theory envisages reason as the only compass able to guide mankind in his daily choices, and dis- cover in his mathematical philosophy a model of that rational culture that seems sometimes increasingly far from us and obsolete. The second theme is rational mechanics. All of the work of Truesdell on history places at the center the onset and the development of modern rational mechanics, which is a well-known discipline for Italian scientists, but is somehow unrelated to the Anglo-Saxon tradition. Rational mechanics is considered by Truesdell, first of all, as an out and out mathematical discipline, equally far from pure abstract speculation and from “big science” with its big-scale projects and few ideas. Not only private, individual experimental researches were performed in the eigh- teenth century; there were also large, cooperative projects. As today, they cost more than real science, and they attracted administrators. But the effect of all this expense on what we now consider the achievement of the period was nil. The method used in the great researches was entirely mathematical, but the result was not what would now be called pure mathematics. Experience was the guide; experience, physical experi- ence and the experience of accumulated previous theory. If we were to seek a word for what was done, it would not be physics and it would not be pure mathematics; least of all would it be applied mathematics: It would be rational mechanics.