THE RATIONAL SPIRIT in MODERN CONTINUUM MECHANICS the Rational Spirit in Modern Continuum Mechanics

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)

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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 rational 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 published 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 revolution, 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 continuous 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 visqueux, 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 mechanics (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.. Danelidze: Nerexenna glavna zadaqa ne- lineno 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 ponti napreni, pp. 439–447 of Prob- lemy mexaniki sploxno sredy, Moscow, Izdatelstvo 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 materials, 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 magnetosonic 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. Vandiner: Racionalna 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 materials, 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´sć 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 naqinawix, 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 appendix, 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 Nave–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. Pervonaqalny kurs racionalno mehaniki sploxnyh sred, translation by R.V. Goldxten and V.M. Entov of an unpublished English text, edited by P.A. ilin and A.I. Lure, 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 termodinamica, pp. 297–307 of Problemi attuali di meccanica teorica e applicata, 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 termodinamica nella Facoltà di Ingegneria con i metodi della termodinamica razionale, 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.