BIOGRAPHICAL SKETCH GIANPIETRO DEL PIERO November, 2018

- Birth: - Degree: - Present Address: - e-mail Address: - Present Position:

Former Positions - Fellowship, Università di Pisa, June 1967 to October 1974; - Assistant Professor of Variational Methods, Università di Pisa, November 1974 to February 1976; - Professor of Strength of Materials, Istituto Universitario Statale di Architettura, Reggio Calabria, March 1976 to October 1979; - Professor of Strength of Materials, Università di Udine, November 1979 to October 1991; - Professor of Strength of Materials, Università di Ferrara, November 1991 to October 2010; - On leave at the Istituto per le Applicazioni del Calcolo "", CNR, , Nov. 2000 to Oct. 2001; - On leave at the Centro Linceo Interdisciplinare "", Accademia Nazionale dei Lincei, Rome, Nov. 2001 to Oct. 2004;

Visiting Positions

- Carnegie Mellon University, Pittsburgh, USA: April to June 1979, Nov. 1987 to Oct. 1988, Aug. 1990, Oct. 1991, Sept. 1992, Sept. 1993, Oct. 1994, Oct. 1995, Sept. 1996, Jan. 1998, Jan. 1999; Sept. to Oct. 2000; - Laboratòrio Nacionàl de Computação Cientìfica, Rio de Janeiro, Brasil: July 1986; - Technion, Haifa, Israel: December 1980; - Ecole Nationale d'Ingénieurs, Tunis, Tunisia: Dec. 1983, May 1985, Apr. 1987, Feb. 1989, Apr. 1990, May 1991, May 1992, May 1993, Apr. 1994, May 1995, Apr. 1996, Apr. 1997, Apr. 1998, Apr. 1999, Apr. to June 2000, Apr. 2001; Apr. 2002, Apr. 2003, Feb. 2004, Dec. 2004, June 2005, March 2006, Feb. 2007, Jan. 2008, Feb. 2009, Feb. 2010; Mar. 2012; - Somali National University, Mogadiscio, Somalia: July to November, 1984; - Faculty of , University of Bucharest, Romania: June 1995; - The University of Minnesota, Minneapolis, USA: Jan. 1998, Jan. 1999, Feb. 2000; - Sichuan University, Chengdu, P.R. China, August 1998; - Institut Galilée, Université Paris XIII: April 2000, January 2001;

1 - Laboratoire de Mécanique et Génie Civil, Montpellier: March 2002; - Ecole Polytechnique de Tunisie, La Marsa, Tunisia: May 2004; - Laboratoire de Mécanique et d’Acoustique, Marseille: Oct. to Nov. 2006, June to July 2009, Oct. 2010, June 2012;

Memberships - the Reviewer Corps of Applied Mechanics Reviews, 1976 to 1987; - the Society for Natural Philosophy, 1978 to date; - the Editorial Board of Meccanica, 1981 to 1994; - the Scientific Council of CISM, 1984 to 2011; - the Reviewer Corps of Mathematical Reviews, 1986 to date; - the Internat. Society for the Interaction of Mechanics and Mathematics (ISIMM), 1999 to date; - the Board of Editors of Journal of Elasticity, 1999 to date; - the Advisory Board of Mathematics and Mechanics of Complex Systems, 2010 to date;

Honours

- The Rational Modeling of Materials and Structures, an International Symposium in Honour of Gianpietro Del Piero on the Occasion of his 65th Birthday, Reggio Calabria, June 2005; - Honorary Professor of the University of Tunis-Al Manar, Hammamet, Tunisia, May 2006; - Symposium in Honor of Gianpietro Del Piero, in occasion of his retirement, Fondazione Tullio Levi-Civita, Sperlonga, September 2011; - Special Issues in Honor of Gianpietro Del Piero, and Thermodynamics, vol. 25, 2-4, 2013;

Coordinator of Meetings, Symposia, and Minisymposia

- CTA Course Le costruzioni in acciaio: fasi progettuali ed evoluzione della normativa, Facoltà di Ingegneria, Università di Udine, March-June 1980; - Euromech 140, CISM, Udine, May 1981; - Unilateral Problems in Structural Analysis, Cimolais (Pordenone), May 1982 (with F. MACERI); - Convegno di Studio sul Consolidamento delle Costruzioni, CISM, Udine, June 1982, and June 1983; - Unilateral Problems in Structural Analysis 2, Ravello, Sept. 1983 (with F. MACERI); - Convegno di Studio sul Calcolo Non Lineare delle Strutture in Cemento Armato, CISM, Udine, June 1984; - Unilateral Problems in Structural Analysis 3, Cimolais (Pordenone), June 1985 (with F. MACERI); - Convegno di Studio sul Calcolo Automatico delle Strutture in Cemento Armato, CISM, Udine, June 1985; - Post-Graduate Programme in Mechanical Sciences, CISM, Udine, Nov. 1985 to Oct. 1986, and Nov. 1986 to Oct. 1987;

2 - Manutenzione, Riparazione e Durabilità delle Strutture in Cemento Armato, CISM, Udine, June 1986; - Unilateral Problems in Structural Analysis 4, Capri, June 1989 (with F. MACERI); - Unilateral Problems in Structural Analysis 5, Ferrara, June 1997 (with F. MACERI); - Minisymposium Microstructures in Mechanics of Materials, VI Congresso Nazionale SIMAI, Chia, Sardinia, May 2002; - CISM Course Multiscale Modeling in Continuum Mechanics and Structured Deformations, CISM, Udine, July 2002 (with D.R. OWEN); - Unilateral Problems in Structural Analysis 6, Siracusa, June 2007 (with F. MACERI); - Minisymposium Advanced Computation of Structures and Engineering Works, 2nd Euro- Mediterranean Symposium on the Advances in Geomaterials and Structures, Hammamet, Tunisia, May 2008; - Minisymposium Microstructures, Micromechanics, and Structured Deformations, 3rd Canadian Conference on Nonlinear Solid Mechanics, Toronto, Canada, June 2008; - Minisymposium Applications of Nonlinear Continuum Mechanics in Civil and in Materials Engineering, 3rd Euro-Mediterranean Symposium on the Advances in Geomaterials and Structures, Djerba, Tunisia, May 2010; - Unilateral Problems in Structural Analysis 7, Palmanova,Udine, June 2010 (with F. MACERI); - Euromech 548 Direct and variational methods for nonsmooth problems in mechanics, Amboise, France, June 2013 (with G. DE SAXCE’);

Invited Lecturer to Meetings and Symposia

- Italian-Polish Meeting on Finite Elasticity, Jablonna, Poland, July 1973; - Euromech 100, Pisa, May 1978; - 21st Meeting of the Society for Natural Philosophy, Pisa, May 1978; - NSF-CNR Symposium on Non-Linear Continuum Mechanics, Venezia, May 1978; - Seminario Fisico-Matematico, Università di Trieste, Oct. 1980; - Mathematics Workshop Seminar in Mathematical , Cosenza, Oct. 1980; - Onde e Stabilità nei Mezzi Continui, Catania, Nov. 1981; - SECTAM XI, Huntsville, USA, Apr. 1982; - Problems in the Mechanics of Materials and Structures, Roma, May 1982; - International Symposium on Viscoplasticity, Zarzis, Tunisia, Dec.1982; - Plasticity Today, Udine, June 1983; - Lo Stato dell'Arte in Italia sulla Meccanica delle Murature, Roma, Oct. 1985; - 1st International Conference on Nonlinear Mechanics, Shanghai, China, Oct. 1985; - 17th Yugoslav Congress of Theoretical and Applied Mechanics, Zadar, Yugoslavia, June 1986; - ITABRA 1986, Rio de Janeiro, Brasil, Aug.1986; - Euromech 217, Pilissentkereszt, Hungary, Oct.1986; - ISIMM Meeting Unilateral Problems in Mechanics, Roma, Apr.1987; - International Colloquium on Free Boundary Problems, Irsee, Germany, June 1987;

3 - Plasticity '89, Tsu, Japan, Aug.1989; - Variational Methods in Continuum Mechanics, 33 rd Meeting of the Society for Natural Philosophy, Pittsburgh, USA, Nov. 1989; - Meeting Calculus of Variations, Elasticity and Crystals, CIRM, Trento, Dec.1989; - Meeting Kontinuumsmechanik der Fester Körper, Mathematisches Forschungsinstitut Ober- wolfach, Germany, March 1990; - Plasticity '91, Grenoble, France, Aug.1991 - Models of Hysteresis, CIRM, Trento, Sept.1991; - Italian-Czechoslovak Colloquium on Applied Mathematics and Continuum Mechanics, Dobrichovice, Czechoslovakia, October 1991; - 22 nd Midwestern Mechanics Conference, Rolla, Missouri, Oct.1991; - Contact Mechanics, International Symposium, EPF, Lausanne, Oct. 1992; - Workshop Mathematical Problems in Viscoelasticity, Center for Nonlinear Analysis, Carnegie Mellon University, Pittsburgh, USA, Feb. 1993; - Meeting Mathematical problems in Viscoelastic Flows, Mathematisches Forschungs-institut Oberwolfach, Germany, May 1993; - International meeting Mechanical and Analytical Microstructures, Accademia Nazionale dei Lincei, Rome, July 1994; - 8th International Symposium Continuum Models and Discrete Systems, Varna, Bulgaria, June 1995; - 3rd International Congress on Industrial and Applied Mathematics, ICIAM 95, Hamburg, Germany, July 1995; - INDAM Meeting Mathematical Problems in the Thermodynamics of Continuous Systems, Cortona, October 1996; - IUTAM Symposium Variations de domaines et frontières libres en mécanique des solides, Paris, April 1997; - Meeting Mathematics and Mechanics in Materials Science and Molecular Biology, Capri, June 1997; - Euromech-Mecamat Conference Mechanics of Materials with intrinsic length scale, Magdeburg, Germany, February 1998; - 4th National Congress SIMAI , Giardini Naxos, June 1998; - 9th International Symposium Continuum Models and Discrete Systems, Istanbul, Turkey, June 1998; - Meeting Calculus of Variations, Mathematisches Forschungsinstitut Oberwolfach, Germany, July 1998; - Inter-Institute Seminar Nonlinear Computational Mechanics, TU Budapest, November 1998; - Plasticity '99, Cancun, Mexico, Jan.1999; - Informal workshop on structured deformations, Center for nonlinear analysis, Carnegie Mellon University, January 1999; - Euromech 402, Seeheim, Germany, October 1999; - Seminar Omaggio a Edoardo Benvenuto, Genova, November 1999; - International meeting Nuovi progressi nella Fisica Matematica dall'eredità di Dario Graffi, Accademia delle Scienze, , May 2000; - Meeting Multiscale Problems in Science and Technology, Dubrovnik, Croatia, September 2000; - Conference on Recent Advances in Continuum Physics and Analysis, Rome, November 2000;

4 - INDAM Meeting Modelli Matematici e Problemi Analitici per Materiali Speciali, Cortona, June 2001; - Workshop Variational Methods for Discontinuous Structures, Villa Erba, Cernobbio, July 2001; - Meeting Whence the boundary conditions in modern continuum physics?, Accademia Nazionale dei Lincei, Rome, October 2002; - Meeting Remembering , Accademia delle Scienze, Torino, November 2002; - Meeting Thermodynamische Materialtheorien, Mathematisches Forschungsinstitut Ober- wolfach, Germany, December 2002; - 13th International Workshop on Computational Mechanics of Materials, Otto von Guericke University, Magdeburg, September 2003; - International Colloquium Theoretical and Numerical Nonsmooth Mechanics, in honor of the 80th birthday of J. J. Moreau, Montpellier, France, November 2003; - Meeting Principles, Methods and Taste in Continuum Physics and Mathematical Analysis, in honor of M.E. Gurtin, Carnegie Mellon University, June 2004; - 1st Workshop on contact mechanics and free discontinuity problems, Facoltà di Ingegneria, Salerno, July 2004; - Workshop Analysis of Rate-Independent Processes, Université Paris XIII, August 2004; - Workshop Variational Problems in Materials Science, SISSA, Trieste, September 2004; - Meeting Mathematical Modeling in Continuum Mechanics and Structures, Alghero, May 2005; - 1st Euro-Mediterranean Symposium on the Advances in Geomaterials and Structures AGS06, Hammamet, Tunisia, May 2006; - 9th International Conference on Integral Methods in Science and Engineering, Niagara Falls, Canada, July 2006; - Meeting Variational Methods in Material Science, Centro De Giorgi, Pisa, October 2006; - Meeting Analysis and numerics for rate-independent processes, Mathematisches Forschungs-institut Oberwolfach, Germany, February 2007; - International Conference on Thermo-mechanics and phase changes, Ecole Polytechnique, Palaiseau, France, July 2007; - Workshop Variational Analysis and Aerospace Engineering, Centro E. Majorana, Erice, September 2007; - International Conference on Mathematics and Continuum Mechanics, Universidade do Porto, Portugal, February 2008; - Meeting Gruppo AIMETA Materiali, Genova, February 2008; - 2nd Euro-Mediterranean Symposium on the Advances in Geomaterials and Structures AGS08, Hammamet, Tunisia, May 2008; - 3rd Canadian National Conference in Solid Mechanics, Toronto, Canada, June 2008; - Mathematical modelling in Structured Media and Applications, a meeting dedicated to David R. Owen on his 65th birthday, Termoli, July 2008; - 9th Franco-Romanian Meeting of Applied Mathematics, Brasov, Romania, August 2008; - 1st International Meeting of Young Researchers on Modeling of Materials and Structures, Salerno, October 2008; - 19th National Congress AIMETA, Ancona, September 2009; - IGF Meeting Problematiche di Frattura nei Materiali per l’Ingegneria, Forni di Sopra (Udine), January 2010; - 3rd Euro-Mediterranean Symposium on the Advances in Geomaterials and Structures AGS10, Djerba, Tunisia, May 2010;

5 - 2nd Workshop Variational Analysis and Aerospace Engineering, Centro E. Majorana, Erice, September 2010; - Colloquium Fifty Years of Finite Freedom Mechanics in honor of M. Jean, Marseille, October 2010; - 20th National Congress AIMETA, Bologna, September 2011; - IUTAM Symposium Fracture phenomena in nature and technology, Brescia, July 2012; - International Workshop Evolution problems in damage, plasticity, and fracture, Udine, October 2012; - International Workshop Multi-Scale Modeling and Characterization of Innovative Materials and Structures, Cetara (Salerno), May 2013; - Meeting Problemi Attuali e Prospettive nell’Ingegneria delle Strutture, in honor of Franco Maceri, Maratea (Potenza), September 2013; - International Colloquium Multiphysics Modeling of Solids, special session in honor of Michel Frémond, Ensta, Palaiseau, France, October 2014; - Meeting The Powerful Continuum Mechanics, in honor of Antonio Di Carlo’s 70th birthday, Brescia, November 2014; - 59me Colloque International de Théories Variationnelles, Seignosse, France, June 2015; - 3rd Workshop Variational Analysis and Aerospace Engineering, Centro E. Majorana, Erice, September 2015; - Meeting Physics and Mathematics of Materials: Current Insights, in honor of the 75th birthday of Paolo Podio Guidugli, Gran Sasso Science Institute, L’Aquila, January 2016; - Magdeburger Mechanik Colloquium, on the occasion of the retirement of prof. A. Bertram, Magdeburg, Germany, March 2016; - Meeting New Frontiers in Continuum Mechanics, dedicated to the memory of Giuseppe Grioli, Accademia Nazionale dei Lincei, Rome, June 2016; - 60me Colloque International de Théories Variationnelles, La Rochelle, France, June 2016; - 62me Colloque International de Théories Variationnelles, Carqueiranne, France, June 2018;

Invited Lecturer to Schools and Courses

- Scuola di Perfezionamento Interuniversitaria, Firenze, Feb.1976; - 1st Summer School GNFM-CNR, Bari, Sept. 1976; - 2nd Summer School GNFM-CNR, Catania, Sept. 1977; - 3rd Summer School GNFM-CNR, Catania, Sept. 1978; - 2nd Summer School of Applied Mathematics, CBPF-CNPq, Rio de Janeiro, Jan.1980; - Course Calcolo a Rottura delle Strutture, Politecnico, Milano, Oct. 1980; - UNESCO International Seminar Theory and applications of Structural Engineering, CISM, Udine, July 1981; - Corso di aggiornamento in Ingegneria Sismica, Regione Aut. Friuli-Venezia Giulia, Udine, Oct. 1981; - Corso di aggiornamento sul metodo agli stati limite, Università di Udine, Jan. 1982; - Course Realizzazione e calcolo delle murature in laterizio, Centro Reg. per i Beni Culturali della Calabria, Reggio Calabria, Sept. 1982; - Dottorato di Ricerca in Ingegneria delle Strutture, Firenze, March-April 1984, Sept.-Oct. 1986 and June-July 1987, Udine, Dec.1988-Jan.1989 and June 1990;

6 - Curso de Mecànica teòrica e aplicada, LNCC, Rio de Janeiro, Feb. 1980 and July 1985; - ICPAM Summer School Mathematics Applied to Mechanics, Monastir, Tunisia, July 1986; - Dottorato di ricerca in Ingegneria Strutturale, Palermo, Jan. 1993; - Dottorato di Ricerca in Ingegneria dei Materiali e delle Strutture, Ferrara, February and June 1996, Trento, July 1997, Ferrara, March 1998 and June 1999; - 22nd Summer School GNFM-CNR, Ravello, Sept. 1997; - Summer School on Nonlinear Analysis and Modeling, Brasov, Romania, July 1999; - Dottorato di Ricerca in Ingegneria delle Strutture, Pisa, February 2001and February 2002; - 26th Summer School GNFM-CNR, Ravello, Sept. 2001; - Dottorato di Ricerca in Matematica, Ferrara, October-December 2001; - Dottorato di Ricerca in Ingegneria delle Strutture, Roma Tor Vergata, November-December 2003; - Ecole de Mécanique Appliquée 2007 “Modélisation en Mécanique Appliquée au Génie Civil”, Tunis, February 2007; - Scuola di Dottorato “Leonardo da Vinci”, Pisa, April-May 2006, October-December 2009, April-May 2014; - First Summer School in Engineering Sciences, Fondazione Tullio Levi Civita, Sperlonga, Sept. 2011; - CISM Course Multiscale Modelling of Complex Materials, Udine, May 2012; - Course The variational approach to fracture and other inelastic phenomena, SISSA, Trieste, March 2013; - 2me Ecole d’été de Mécanique Théorique, Quiberon, France, June 2013;

Papers

(1) Thin-walled beams with open deformable cross section, Atti Ist. Sci. Costr. Pisa n. 157, 1968; (2) Indagine sperimentale sulla distribuzione delle tensioni normali in una trave a I soggetta a torsione non uniforme, Atti Ist. Sci. Costr. Pisa n. 165, 1969 (with N. GUCCI); (3) Critical loads of heavy columns with non-linear stress-strain relation, Atti Ist. Sci. Costr. Pisa n. 169, 1969; (4) A second-order solution for simply compressed rubber bearings, Atti Ist. Sci. Costr. Pisa n. 173, 1969 (with P. PODIO GUIDUGLI); (5) Collapse loads for reinforced rubber bearings in simple compression, Atti Ist. Sci. Costr. Pisa n. 180, 1970 (with P. PODIO GUIDUGLI); (6) Soluzioni in termini di caratteristiche generalizzate per il problema della trave in elasticità infinitesima, Atti Ist. Sci. Costr. Pisa n.184, & Atti I Congr. Naz. AIMETA, Udine 1971; (7) A priori bounds for the plastic dissipation of elastic-plastic oscillators, Meccanica 7: 248-254, 1972; (8) Su di una teoria matematica dei materiali elastoplastici, Atti Ist. Sci. Costr. Pisa n. 197, 1973; (9) Sulla rigidezza torsionale delle sezioni a profilato, Costruzioni Metalliche 26: 276-286, 1974; (10) Proposte per una teoria fenomenologica della plasticità, Atti Ist. Sci. Costr. Pisa n. 205, & Atti II Congr. Naz. AIMETA, Napoli 1974; (11) On a mathematical theory of elastic-plastic materials, Archiwum Mechaniki Stosowanej 27: 253-271, 1975;

7 (12) On the elastic-plastic material element, Arch. Rational Mech. Analysis 59: 111-129, 1975; (13) Teorie tecniche e metodi di approssimazione nel calcolo strutturale, Atti Ist. Sci. Costr. Pisa n. 212, 1975; (14) Sull'impiego di alcune diseguaglianze a priori nel calcolo dei carichi critici euleriani, Atti Ist. Sci. Costr. Pisa n. 236, & Atti III Congr. Naz. AIMETA, Cagliari 1976; (15) Some properties of the set of fourth-order tensors, with application to elasticity,J. of Elasticity, 9: 245-261, 1979; (16) Lower bounds for the critical loads of elastic bodies, J. of Elasticity 10; 135-143, 1980; (17) Modelli alla Winkler per lo studio dell'interazione terreno-fondazione in campo elastico, Atti Ist. Mecc. Udine n. 34, & Atti VII Congr. Naz. AIMETA, Trieste 1984 (with V. PETRUCCO); (18) Aspetti tecnici e aspetti amministrativi di una normativa sulle costruzioni in cemento armato in Somalia, Cilmi iyo Farsamo (Journal of the Somali National University) 12: 1984 (with A.O. SHARIF); (19) Prove di resistenza e prove di piegatura su bambù, Cilmi iyo Farsamo 13: 1985 (with V. SOAVE); (20) Prove di carico su due strutture reticolari in bambù, Cilmi iyo Farsamo 13: 1985 (with V. SOAVE); (21) L'impiego del bambù come materiale da costruzione in Somalia, Cilmi iyo Farsamo 13, 1985; (22) A mathematical characterization of plastic phenomena in the context of Noll's new theory of simple materials, Engineering Fracture Mechanics 21: 633-639, 1985; (23) Well posedness and Galerkin approximation for unbounded operators in Banach spaces, Matemàtica Aplicada e Computacional 4: 245-259, 1985; (24) Constitutive equation and compatibility of the external loads for linear elastic masonry-like materials, Meccanica 24: 150-162, 1989; (25) A generalized Gauss-Green formula for the mathematical theory of plasticity, Proc. Int. Conf. on Constitutive Laws for Engineering Materials, J.H. FAN & S. MURAKAMI Eds., Int. Academic Press & Pergamon Press, 1989; (26) A new function space for the study of the deformation of brittle continua, Proc. Int. Congress of Applied Mechanics, Beijing 1989; (27) A new function space for the mathematical theory of plasticity, Proc. of Plasticity '89, the 2nd Int. Symposium on Plasticity and its Current Applications, A.S. KHAN & M. TOKUDA Eds., Pergamon Press 1989; (28) On the completeness of the crystallographic symmetries in the description of the symmetries of the elastic tensor, J. of Elasticity 25: 203-246, 1991 (with HUO YONG-ZHONG); (29) Existence conditions for non-safe loads in masonry-like materials, Applicable Analysis 50: 17- 46, 1993 (with RU CHONG-QING); (30) Structured deformations of continua, Arch. Rational Mech. Analysis 124: 99-155, 1993 (with D.R. OWEN); (31) Monotonic, completely monotonic, and exponential relaxation functions in linear viscoelasticity, Quart. Appl. Math. 53: 273-300, 1995 (with L. DESERI); (32) Integral-gradient formulae for structured deformations, Arch. Rational Mech. Analysis 131: 121-138, 1995 (with D.R. OWEN); (33) On the analytic expression of the free energy in linear viscoelasticity, J. of Elasticity 43: 247- 278, 1996 (with L. DESERI);

8 (34) On the concepts of state and free energy in linear viscoelasticity, Arch. Rational Mech. Analysis 138: 1-35, 1997 (with L. DESERI); (35) Limit Analysis and no-tension materials, Int. J. of Plasticity 14: 259-271, 1998; (36) Representation theorems for hemitropic and transversely isotropic tensor functions, J. of Elasticity 51: 43-71, 1998; (37) A one-dimensional model for localized and distributed failure, J. Phys. IV France 8: Pr 8, 95- 102, 1998 (with L. TRUSKINOVSKY); (38) Structured deformations as energy minimizers in models of fracture and hysteresis, Math. and Mech. of Solids 4: 321-356, 1999 (with R. CHOKSI, I. FONSECA, and D.R. OWEN); (39) Macro and micro cracking in one-dimensional elasticity, Int. J. Solids Structures 38; 1135- 1148, 2001 (with L. TRUSKINOVSKY); (40) The energy of a one-dimensional structured deformation, Math. and Mech. of Solids 6: 387- 408, 2001; (41) A class of fit regions and a universe of shapes for continuum mechanics, J. of Elasticity 70: 175-195, 2003; (42) The relaxed work functional in linear viscoelasticity, Math. and Mech. of Solids 9: 175-208, 2004; (43) A new class of fit regions, Note di Matematica 27: 57-69, 2007; (44) A variational model for fracture mechanics: numerical experiments, J. Mech. Phys. Solids 55: 2513-2537, 2007 (with G. LANCIONI and R. MARCH); (45) Strain localization in polyurethane foams: experiments and theoretical model, J. Mech. Materials and Structures 3: 969-981, 2008 (with G. PAMPOLINI); (46) Weak local minimizers in finite elasticity, J. of Elasticity 93: 203-244, 2008 (with R. RIZZONI); (47) On the method of virtual powers in continuum mechanics, J. Mech. Materials and Structures 4: 281-292, 2009; (48) Elastic bars with cohesive energy, Cont. Mech. Thermodynamics 21: 141-171, 2009 (with L. TRUSKINOVSKY); (49) A unified model for adhesive interfaces with damage, viscosity, and friction, Eur. J. Mech. A/Solids 29: 496-507, 2010 (with M. RAOUS); (50) The influence of viscosity on the properties of open-cell polymeric foams in uniaxial compression: experiments and theoretical model, Cont. Mech. Thermodynamics 24: 181-199, 2012 (with G. PAMPOLINI); (51) A variational approach to fracture and other inelastic phenomena, J. of Elasticity 112: 1-77, 2013; (52) A diffuse cohesive energy approach to fracture and plasticity: the one-dimensional case, J. Mech. Materials and Structures 8:109-151, 2013 (with G. LANCIONI and R. MARCH); (53) Non-classical continua, pseudobalance, and the law of action and reaction, Math. Mech. of Complex Systems 2: 71-107, 2014; (54) A rational approach to Cosserat continua, with application to plate and beam theories, Mech. Res. Communications 58: 97-104, 2014; (55) Minimization of semicoercive functions: a generalization of Fichera’s existence theorem for the Signorini problem, Cont. Mech. Thermodynamics 28: 5-20, 2016; (56) On the decomposition of the deformation gradient in plasticity, J. of Elasticity 131: 111-124,

9 2018; (57) An axiomatic framework for the mechanics of generalized continua, Rend. Lincei Mat. Appl. 29: 31-61, 2018; (58) The variational structure of classical plasticity, Math. Mech. of Complex Systems 6: 137-180, 2018; (59) “Reality” and representation in mechanics: the legacy of W. Noll, J. of Elasticity, online first; (60) A mechanical theory of heat conduction, in preparation;

Books

(1) Il consolidamento delle costruzioni (editor), CISM, Udine 1983; (2) Le costruzioni in muratura (editor and co-author), CISM, Udine 1984; (3) Unilateral Problems in Structural Analysis (editor, with F. MACERI), CISM Courses and Lectures n. 288, Springer 1985; (4) Il calcolo non lineare delle strutture in cemento armato (editor), CISM, Udine 1985; (5) Il calcolo automatico delle strutture in cemento armato (editor), CISM, Udine 1986; (6) Manutenzione, riparazione e durabilità delle strutture in cemento armato (editor), CISM, Udine 1987; (7) Unilateral Problems in Structural Analysis 2 (editor, with F. MACERI), CISM Courses and Lectures n. 304, Springer 1987; (8) Unilateral Problems in Structural Analysis 4 (editor, with F. MACERI, and co-author), Internat. Series of Numerical Mathematics n. 101, Birkhäuser 1991; (9) Multiscale Modeling in Continuum Mechanics and Structured Deformations, (editor, with D.R. OWEN, and co-author), CISM Courses and Lectures n. 447, 2004; (10) A variational approach to fracture and other inelastic phenomena, Springer 2013;

Book Chapters

(1) Well Posedness of Constitutive Equations of the Kinematical Hardening Type, in: T. LEHMANN ed., The Constitutive Law in Thermoplasticity, CISM Courses and Lectures n. 281, 1984; (2) Metodi risolutivi per travature iperstatiche soggette a vincoli unilaterali, in: Proc. Internat. Meeting in memory of M. Romano, Graficatre, Catania 1990; (3) Recent developments in the mechanics of materials which do not support tension, Proc. Int. Colloq. on Free Boundary Problems, Irsee, Germany 1987; K.H. HOFFMANN, J. SPREKELS eds., Pitman Research Notes in Mathematics Series n.185: 2-24, Longman 1991; (4) Structured Stress Fields, in: K.Z. MARKOV ed., Proc. 8th Int. Symposium Continuum Models and Discrete Systems, Varna, Bulgaria 1995: 164-171, World Scientific 1996; (5) Towards a unified approach to fracture, yielding, and damage, in: E. INAN, K.Z. MARKOV eds., Proc. 9th Int. Symposium Continuum Models and Discrete Systems, Istanbul 1998: 679- 692, World Scientific 1998; (6) One-dimensional ductile-brittle transition, yielding, and structured deformations, in: P. ARGOUL et al. eds., Proc. IUTAM Symposium Variations of domains and free-boundary

10 problems in solid mechanics, Paris 1997: 203-210, Kluwer 1999; (7) Interface energies and structured deformations in plasticity, in: G. DAL MASO, F. TOMARELLI eds., Variational Methods for Discontinuous Structures: 103-116, Birkhäuser 2002; (8) On the definitions of state and free energy in linear viscoelasticity, in: Proc. Int. Meeting Nuovi progressi nella fisica matematica dall’eredità di Dario Graffi, Bologna, 2000, Atti dei Convegni Lincei 177: 268-279, 2002; (9) On the role of interface energies in the description of material behavior, in: N. ANTONIC’ et al. eds., Multiscale Problems in Sciences and Technology, Dubrovnik 2000: 117-128, Springer 2002; (10) Boundary conditions in the presence of structured deformations, in: Proc. Int. Meeting Whence the Boundary Conditions in Modern Continuum Physics?, Rome, 2002, Atti dei Convegni Lincei 210: 63-88, 2004; (11) Foundations of the Theory of Structured Deformations, in: G. DEL PIERO, D.R. OWEN eds., Multiscale Modeling in Continuum Mechanics and Structured Deformations, CISM Courses and Lectures n. 447: 125-175, 2004; (12) A condition for statical admissibility in unilateral structural analysis, in: P. ALART et al. eds., Nonsmooth Mechanics and Analysis: Theoretical and Numerical Advances: 71-80, Springer 2006; (13) Bi-modal cohesive energies, in: G. DAL MASO et al. eds., Variational Problems in Materials Science: 43-54, Birkhäuser, Basel 2006; (14) Two-sided estimates for local minimizers in compressible elasticity, in: C.CONSTANDA, S. POTAPENKO eds., Integral Methods in Science and Engineering: Techniques and Applications: 191-200, Birkhäuser, Boston 2007 (with R. RIZZONI); (15) Variational approaches to fracture, in: G. BUTTAZZO, A. FREDIANI eds., Variational Analysis and Aerospace Engineering: 145-162, Springer Optimization and Its Applications n. 33, 2009; (16) Strain localization in polyurethane foams:experiments and theoretical model, in: J.-F. GANGHOFFER, F. PASTRONE eds., Mechanics of Microstructured Solids: 29-38, Springer, Berlin 2009 (with G. PAMPOLINI); (17) On the method of virtual power in the mechanics of non-classical continua, in: T. SADOWSKI, P. TROVALUSCI eds., Multiscale Modelling of Complex Materials, CISM Courses and Lectures n.556, Springer 2014; (18) Virtual power and pseudobalance equations for generalized continua, in: B. ALBERS, M. KUCZMA eds., Continuous Media with Microstructure 2: 11-21, Springer 2016; (19) The variational approach to fracture: a theoretical model, and some numerical results, in: A. FREDIANI, B. MOHAMMADI, O. PIRONNEAU, V. CIPOLLA eds., Variational Analysis and Aerospace Engineering, pp. 169-189, Springer 2016; (20) Une approche rationnelle des milieux continus avec microstructure, in: G. DEL PIERO, S. FOREST, P. SEPPECHER, Mécanique des milieux continus généralisés, Première partie, pp. 11-114, Cépaduès 2017;

Communications (1) Plasticity in the light of Noll's new theory of simple materials, Communication at the Int. Symposium on Viscoplasticity, Zarzis, Tunisia, Dec. 1982. Atti Ist. Mecc. Udine n.13, 1982; (2) Plasticity as a general property of material behaviour, Communication at the Int. Conference on Nonlinear Mechanics, Shanghai, China 1985; (3) On the statics of materials which do not support tension, Communication at the XVII

11 Yugoslav Congress of Theoret. & Appl. Mechanics, Zadar 1986; (4) The influence of the unilateral behaviour of the joints on the d29amaging of steel structures subject to dynamic loading, Communication at Euromech 217, Pilissentkereszt, Hungary 1986 (with A. SINOPOLI and P. ANGELI); (5) On the statics of no-tension materials: existence of solutions under perpendicular loading Communication at the IX Congr. Naz. AIMETA, Bari 1988 (with K. BEL KNANI); (6) L'influenza della natura unilaterale delle giunzioni sul comportamento delle strutture metalliche sottoposte a carichi alternati, Communication at the IX Congr. Naz. AIMETA, Bari 1988 (with P. ANGELI); (7) Sulla formulazione del problema di equilibrio per i solidi murari, Communication at the IX Congr. Naz. AIMETA, Bari 1988; (8) Soluzioni generalizzate del problema di Saint-Venant per sezioni indeformabili nel loro piano, Communication at the X Congr. Naz. AIMETA, Pisa 1990 (with K. BEL KNANI and P. ANGELI); (9) New concepts in the mechanics of fractured continua, Communication at the X Congr. Naz. AIMETA, Pisa 1990 (with D.R. OWEN); (10) A kinematical justification of some constitutive assumptions in plasticity, Communication at Plasticity '91, the 3rd Internat. Symposium on Plasticity and its Current Applications, Grenoble 1989, in: J.P. BOEHLER and A.S. KHAN eds., Anisotropy and Localization of Plastic Deformations, Elsevier Applied Science 1991; (11) A unified treatment of damage and plasticity based on a new definition of microfracture, Communication at the meeting Unilateral Problems in Structural Analysis 4, Capri 1989, in: G. DEL PIERO and F. MACERI eds., Int. Series of Numerical Mathematics n.101: 39-50, Birkhäuser 1991 (with R. SAMPAIO); (12) Calcul des treillis de poutres hyperstatiques en présence de contraintes unilatérales punctiformes, Communication at the 3me Colloque Maghrébin sur les Modèles Numériques de l'Ingénieur, Enit, Tunis 1991 (with K. BEL KNANI and P. ANGELI); (13) Caratterizzazione in termini di lavoro della monotonia della funzione di rilassamento in viscoelasticità lineare, Communication at the XI Congr. Naz. AIMETA, Trento 1992 (with L. DESERI); (14) Shock dynamics for a rigid block over a rigid plane, Communication at CMIS 1992, the Int. Symposium on Contact Mechanics, Lausanne 1992. in: A. CURNIER ed., Presses Polytechn. Univ. Romandes: 3-12, 1992; (15) Sulla definizione di stato e di energia libera in viscoelasticità lineare, Communication at the XII Congr. Naz. AIMETA, Napoli 1995 (with L. DESERI); (16) Sull'ammissibilità di alcune espressioni dell'energia libera in viscoelasticità lineare, Communication at the XII Congr. Naz. AIMETA, Napoli 1995 (with L. DESERI); (17) Materiali non resistenti a trazione e Analisi Limite, Communication at the Giornata di Studio Meccanica delle strutture murarie, Quaderno AIDIS n.2: 21-32, 1996; (18) Sulla torsione di un cilindro incomprimibile a energia non convessa, Communication at the XIII Congr. Naz. AIMETA, Siena 1997 (with R. RIZZONI); (19) Microstructures and the uniaxial test for bars, Proc. IV Congr. Naz. SIMAI, Giardini Naxos 1998; (20) Structured deformations in Continuum Mechanics, Proc. ICNM-III, Shanghai University Press, 1998; (21) On the energy of a structured deformation, Proc. of Plasticity '99, the Seventh Int. Symposium on Plasticity and its Current Applications, Cancun, Mexico 1999, A.S. KHAN ed.,

12 Neat Press: 27-30, 1999; (22) On the torsion of an incompressible cylinder with nonconvex energy, Proc. 1999 ASME Mechanics & Materials Conference, R.C. BATRA and E.G. HENNEKE eds., Virginia Tech, 1999 (with R. RIZZONI ); (23) Recent progresses in the modeling of material behavior based on the concept of interface energy, Communication at the XIV Congr. Naz. AIMETA , Como 1999; (24) The influence of the concavity-convexity properties of the interfacial energy on macroscopic material response, Communication at Euromech 402, Micromechanics of Fracture Processes, Seeheim-Darmstadt 1999; (25) Energie non convesse e energie interfacciali nella descrizione del comportamento dei materiali, Communication at the XV Congr. Naz. AIMETA , Taormina 2001, CD Rom; (26) Structured deformations in plasticity, Communication at the XVI Congr. Naz. AIMETA , Ferrara 2003, CD Rom; (27) Local energy minimizers in incompressible elasticity, Communication at the XVII Congr. Naz. AIMETA , Firenze 2005, CD Rom (with R. RIZZONI ); (28) A variational model for fracture mechanics, Communication at the 5 th International Congress of the Croatian National Society of Mechanics, Trogir, Croatia 2006, CD Rom (with G. LANCIONI and R. MARCH ); (29) A variational model for fracture mechanics: a finite-element algorithm and numerical simulations, Communication at the 3 rd International Conference on advances in mechanical engineering and mechanics, Hammamet, Tunisia 2006, CD Rom (with G. LANCIONI and R. MARCH ); (30) Experimental tests and a theoretical model for axially compressed polyurethane foam cylinders , Communication at the XVIII Congr. Naz. AIMETA , Brescia 2007, CD Rom (with F. MOLLICA and G. PAMPOLIN I); (31) Recent progresses in the modeling of material behavior, Communication at the Int. Conf. on Mathematics and Continuum Mechanics, Porto, Portugal 2008; (32) The variational approach to fracture mechanics, Communication at the 2 nd Int. Conf. AGS08, Hammamet, Tunisia, May 2008, Conference Proceedings, Vol.1: 17-24, Hammamet, Tunisia 2008; (33) Strain localization and cyclic damage of polyurethane foam cylinders: experimental tests and theoretical model, Communication at the 2 nd Int. Conf. AGS08, Hammamet, Tunisia 2008, Conference Proceedings, Vol.1: 111-121 (with G. PAMPOLINI ); (34) On the formation of necking in a bar under tension, Communication at the 3 rd Canadian Conference on Nonlinear Solid Mechanics CanCNSM08, Toronto 2008. Conference Proceedings, 2009; (35) The variational approach to rate-independent processes , Communication at the 5 me Colloque Franco-Roumain de Math. Appl., Bra şov, Romania 2008, Bulletin of the Transilvania University of Bra şov, Vol. 2 (51), Ser.III: 44-54, 2009; (36) A unified model for adhesive interfaces, Communication at CMIS 2009, the Int. Symposium on Contact Mechanics, Chania, Greece, April 2009, Conference Proceedings (with M. RAOUS); (37) Un modèle viscoélastique pour la réponse des mousses polymériques à la compression cyclique , Communication at the 19 me Congrès Français de Mécanique, Marseille, August 2009, Mécanique & Industries 10: 261–266, 2009 (with G. PAMPOLINI); (38) On the viscoelastic behavior of open-cell polyurethane foams in uniaxial compression ,

13 Communication at the 6 th International Congress of the Croatian National Society of Mechanics, Dubrovnik, Croatia 2009, CD Rom (with G. PAMPOLINI); (39) On the rate-dependent properties of open-cell polyurethane foams , Communication at the 1 st International Conference on Material Modelling, Dotrmund 2009, Technische Mechanik 30: 74-84, 2010 (with G. PAMPOLINI); (40) L’approccio variazionale alla frattura e ad altri fenomeni anelastici, Workshop Problematiche di frattura nei materiali per l’ingegneria , Forni di Sopra (Udine) 2010, Conference Proceedings; (41) On the rate-dependent behavior of open-cell polymeric foams in uniaxial compression, Communication at the 3 rd Int. Conference AGS10, Djerba, Tunisia, 2010, Conference Proceedings, Vol.1: 89-94 (with G. PAMPOLINI ); (42) The variational theory of fracture: diffuse cohesive energy and elastic-plastic rupture, Communication at the XX Convegno Nazionale Gruppo Italiano Frattura, Cassino 2011, Frattura e Integrit\à strutturale 18, 5-13, 2011 (with G. LANCIONI and R. MARCH ); (43) Diffuse cohesive energy in Plasticity and Fracture , Communication at the 2 nd Int. Conference on Material Modeling, Paris 2011, Technische Mechanik 32, 174-188, 2012 (with G. LANCIONI and R. MARCH ); (44) A variational model for Plasticity and Fracture : Numerical simulations , Communication at the 2nd Int. Conference on Material Modeling, Paris 2011 (with G. LANCIONI and R. MARCH ); (45) Il modello dell’energia diffusa in Meccanica della Frattura, Communication at the XX Congr. Naz. AIMETA , Bologna 2011, CD Rom (with G. LANCIONI and R. MARCH ); (46) Numerical results of a cohesive model for plasticity and fracture, Communication at the XX Congr. Naz. AIMETA , Bologna 2011, CD Rom (with G. LANCIONI and R. MARCH ); (47) A variational approach to fracture mechanics: some numerical results, Communication at the meeting Variational Analysis and Aerospace Engineering III, Erice 2015;

Lecture Notes

(1) Metodi Variazionali , handwritten notes, Pisa 1970; (2) Seminari di Elasticità Lineare, Lectures delivered at the 1 st Scuola Estiva di Fisica Matematica, Bari 1976. Quaderno GNFM -CNR , 1978 (with P. PODIO GUIDUGLI ); (3) Variational Methods in Limit Analysis, Lectures delivered at the 2 nd Summer School of Applied Mathematics, Rio de Janeiro, Brasil 1980. Laboratòrio de Càlculo CBPF -CNP q, Rio de Janeiro 1980; (4) Lezioni di Meccanica dei Continui, Course held at the 3 rd Scuola Estiva di Fisica Matematica, Catania 1978. Quaderno GNFM -CNR , 1981; (5) I teoremi fondamentali del calcolo a rottura, Lectures delivered at the Course Calcolo a rottura delle strutture, Politecnico di Milano, 1980. Atti Ist. Mecc.Udine n.1, 1981; (6) Elementi di dinamica delle strutture, L ecture delivered at the Corso di aggiornamento in tema di Ingegneria Sismica, Reg. Aut. Friuli-Ven. Giulia, Udine 1981. Atti Ist. Meccanica Udine n. 2, 1981; (7) Esempi di calcolo a rottura di piastre e volte, Lecture delivered at the Course Il metodo agli stati limite: applicazione alla pratica del cemento armato, Fac. di Ingegneria, Udine 1982. Atti Ist. Meccanica Udine n. 5, 1982; (8) Cenni sul metodo degli elementi finiti, Lectures delivered at the CISM Course Le Costruzioni in muratura, CISM, Udine 1984.

14 (9) Analisi limite delle pareti murarie, Lectures delivered at the CISM Course Le Costruzioni in muratura, CISM, Udine 1984. (10) L'evoluzione del calcolo strutturale, Lectures delivered at the Convegno di Studio sul Calcolo non Lineare delle Strutture in Cemento Armato, CISM, Udine, 1984. Atti Ist. Mecc. Udine n.30, 1984; (11) Unilateral Problems in Structural Analysis, C ourse held at LNCC -CNP q, Rio de Janeiro, Brasil 1985. Atti Ist. Meccanica Udine n. 49, 1985; (12) Lecture Notes in Continuum Mechanics, Course held at the ICPAM Summer School Mathematics Applied to Mechanics, Monastir, Tunisia 1986; (13) Homogenization, Lectures delivered at the Dottorato di Ricerca in Ingegneria dei Materiali e delle Strutture, Ferrara, April 1998, Atti Dip. di Ingegneria, Università di Ferrara, n. 76, 1999 (edited by E. BENVENUTI ); (14) Structured Deformations, C ourse held at the 22 nd Scuola Estiva di Fisica Matematica, Ravello 1997. Quaderno GNFM -INDAM n. 58, 2000 (with D.R. OWEN , edited by R. RIZZONI ); (15) Materiali non resistenti a trazione, PhD Course, Università di Salerno, 2008. Handwritten notes;

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