Curriculum Vitae Pedro PONTE CASTAEDA

Personal Information

Address Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, 220 South 33rd Street, Philadelphia, PA 19104-6315. Office 235 Towne Building Telephone 1-215-898-5046 Fax 1-215-573-6334 Email ponte@seas.upenn.edu

Education

Graduate Ph.D. in Applied Mathematics, Harvard University, June 1986. S.M. in Engineering Sciences, Harvard University, June 1983. Undergraduate B.S. in Mechanical Engineering with highest honors, Lehigh University, June 1982. B.A. in Mathematics with highest honors, Lehigh University, June 1982.

Positions 1998-present Professor, Department of Mechanical Engineering and Applied Mechanics (MEAM), University of Pennsylvania, Philadelphia. 2008-present Professor, Graduate Group in Applied Math and Computational Science (AMCS), University of Pennsylvania, Philadelphia. 2005-2008 Professor (part-time), Department of Mechanics, cole Polytechnique, Paris. 2003-2005 Professor, Department of Mechanics, cole Polytechnique, Paris. 1994-1998 Associate Professor, Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia. 1990-1994 Assistant Professor, Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia. 1987-1990 Assistant Professor, Department of Mechanical Engineering, The Johns Hopkins University, Baltimore. 1986-1987 Research Officer, School of Mathematical Sciences, University of Bath, England.

Visiting Positions

2010-2013 Associated Senior Researcher, Madrid Institute for Advanced Studies in Materials, Spain. Summer 2008 Visiting Scientist (Chercheur Associ), Laboratoire de Mcanique et d'Acoustique, Centre National de la Recherche Scientifique, Marseilles, France. Fall 2001 Member, Isaac Newton Institute for Mathematical Sciences, University of Cambridge, England. Summer 2001 Research Professor (Directeur de Recherche), Laboratoire de Mcanique des Solides, cole Polytechnique, Paris, France. Fall 1999 Member, Isaac Newton Institute for Mathematical Sciences, University of Cambridge, England. Fall 1996 Resident, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis. Fall 1994 EPSRC Visiting Fellow, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, England. Spring 1994 Research Professor (Matre de Recherche), Laboratoire de Mcanique des Solides, cole Polytechnique, Paris, France. Summer 1993 Visiting Scientist (Chercheur Associ), Laboratoire de Mcanique et d'Acoustique, Centre National de la Recherche Scientifique, Marseilles, France.

Honors and Awards Awards George H. Heilmeier Faculty Award for Excellence in Research, School of Engineering and Applied Science, University of Pennsylvania, 2007. Special Achievement Award for Young Investigators in Applied Mechanics, American Society of Mechanical Engineers, 2000. Cornelius Prize in Mechanical Engineering, Lehigh University, 1982. Thornburg Prize in Mathematics, Lehigh University, 1982.

Honors Elected Professor of Mechanics, Ecole Polytechnique, Paris, 2003. Elected Visiting Fellow, Corpus Christi College, Cambridge, 1994. Certificate of Distinction in Teaching, Harvard College, 1986. Applied Mathematics Tutor, Lowell House, Harvard College, 1985-1986. Named Midwest Mechanics Seminar. Homogenization, microstructure evolution Lectures and instabilities in fiber-reinforced elastomers. 2005-2006. Sminaire de la Fdration Francilienne en Mcanique des Matriaux. Recent developments in nonlinear homogenization. Paris, 2003. Sectional Lecture. Nonlinear Composites and Microstructure Evolution, 20th International Congress of Theoretical and Applied Mechanics, Chicago, 2000.

Honorary Phi Beta Kappa, Lehigh University, 1982. Societies Tau Beta Pi, Lehigh University, 1981.

Professional Societies and Activities

Societies The American Society of Mechanical Engineers, Member, 1985-present. European Mechanics Society, Member, 1997-present. Society for Industrial and Applied Mathematics, Member, 1988-present. Society of Engineering Science, Board of Directors, 1999-2006.

Editorial Comptes Rendus de l'Acadmie des Sciences de Paris, Mcanique. Associate Editor, 1999-present. Journal of Elasticity. Associate Editor, 2002-present. Archives of Mechanics. Member of International Advisory Board, 2003-present. The Journal of the Mechanics and Physics of Solids, J. R. Willis Anniversary Issue. Guest Editor (with Pierre Suquet), Volume 48, Number 6/7, 2000: pp 1093-1563.

Technical ASME/AMD, Technical Committee on Instability in Solids and Structures, 1993- Committees ASME/AMD, Technical Committee on Mechanics of Soft Materials, 2010- SIAM Activity Group on Mathematical Aspects of Materials Science, 2010-

Educational National Science Foundation, Panel Review on Curriculum Development in Panels Mathematics: Calculus and the Bridge to Calculus, April 9-11, 1991.

Visiting Department of Mechanical & Structural Engineering, Committees Universit degli Studi di Trento (Italy), 2002-

Recent Homogenization and Applications (with Pierre Suquet) Symposia SIAM Conference on Mathematical Aspects of Materials Science, Organized Philadelphia, June 9 - 12, 2013. Macroscopic Properties and Instabilities in Heterogeneous Material Systems (with Oscar Lopez-Pamies) U.S. National Congress in Theoretical and Applied Mechanics, Penn State University, 27 June 2 July 2010. Scale Transitions in Mechanics of Materials (member of Scientific Committee) C.N.R.S. Summer School, Brianon (France), 22 August 3 September 2010.

Variational Concepts with Applications to the Mechanics of Materials (member of Scientific Committee) IUTAM Symposium, Ruhr-University of Bochum, Bochum (Germany), September 2226, 2008. Composites and Polycrystals (with Pierre Suquet) Fifth SIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, May 11-14, 2008. Homogenization and Applications to Composites, Polycrystals and Smart Materials (co-director with J. J. Telega) NATO Advanced Research Workshop, Warsaw (Poland), June 25-28, 2003.

J.R. Willis Symposium

The 20th International Congress of Theoretical and Applied Mechanics (IUTAM), Chicago, August 27-September 2, 2000. Macroscopic Properties of Heterogeneous Material Systems Third SIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, May 22-24, 2000. Symposia in Honor of the Prager Medal Recipient 35th SES Annual Technical Meeting, Washington State University, Pullman, September 27-30, 1998. Symposium on Instability in Nonlinear Microstructured Media (with S. Kyriakides and N. Triantafyllidis) International Mechanical Engineering Congress, Dallas, November 16-21, 1997. Nonlinear Composite Materials Second SIAM Conference on Mathematical Aspects of Material Science, Philadelphia, May 12-14, 1997.

Administrative Responsibilities

2012-2013 Alternate Member, Faculty Personnel Committee, SEAS. 2012 Faculty Senate Nominating Committee, PENN. 2011 Chair Search Committee, MEAM. 2008-present Executive Committee, Graduate Group in Applied Math & Computational Science. 2008-2010 Member, Faculty Personnel Committee, SEAS. 2008-2009 SEAS Representative to the Graduate Council of the Faculties, PENN. 2006-2010 Chair, Graduate Group, Mechanical Engineering & Applied Mechanics. 2006-2008 Member, Working Group, Applied Mathematics and Computational Science. 2006-2008 Member, Faculty Council, SEAS. 2004-2005 Member, Steering Committee, Department of Mechanics, Ecole Polytechnique. 2003-2004 Interim Chair, Graduate Group, MEAM. 1999-2000 Chair, Faculty Personnel Committee, SEAS. 1998-2001 Member, Faculty Personnel Committee, SEAS. 1998-2001 At-Large Member, Senate Executive Committee, Faculty Senate, PENN. 1998-2001 Member, Conflict of Interest Standing Committee, PENN. 1998-1999 Member, Committee on Committees, Faculty Senate, PENN. 1997-2004 Member, Steering Committee, French Institute for Culture & Technology, PENN. 1997-1998 Chair, Committee on International Programs, PENN. 1997-1998 Chair, Faculty Search Committee, MEAM.

1996-1997 Chair, Faculty Council, SEAS. 1996-1998 Member, Provost's Council on International Programs, PENN. 1996-1997 Member, MEAM Chair Search Committee, SEAS. 1995-1996 Member, Faculty Council, SEAS. 1991-1996 Member, Committee on International Programs, PENN. 1991-1993 Member, Committee on Academic Performance, SEAS. 1991-1993 Coordinator, Department Seminar Series, MEAM.

Teaching Activities

Undergraduate Mechanics of Materials (Hopkins 530.313) Spring 1990. Courses Engineering Mechanics II: Dynamics (MEAM 201) Spring 1991, 1992, 1993. Strength of Machine Components (MEAM 453) Fall 1993. Vibrations of Mechanical Systems (MEAM 321) Fall 1996, 1998, 1999, 2000. Mechanics of Materials (MEAM 454) Fall 1997, 2002, Spring 2006, 2011. Mechanical Engineering Laboratory I (MEAM 247) Spring 1998. Heterogeneous Materials (Polytechnique MEC 553) Fall 2004, 2005, Spring 2007. Mechanics of Polymers (Polytechnique MEC 587) Fall 2005.

Graduate Continuum Mechanics (Hopkins 530.601) Fall 1987, 1988, 1989, 1990. Courses Linear Elasticity (Hopkins 530.641) Spring 1989. Continuum Mechanics (MEAM 530) Fall 1990, Spring 1996, 1997, Fall 1999-2003, Fall 2006-2012. Advanced Continuum Mechanics (MEAM 630) Spring 2003. Plasticity (Hopkins 530.642) Spring 1988, 1990. Elasticity I (MEAM 519) Fall 1991. Fracture Mechanics (MEAM 633) Fall 1995. Composite Materials (MEAM 635) Fall 1992, Spring 1995, 1999, 2007, Fall 2012. Composite Materials (Polytechnique, MEC 633) Spring 2005. Advanced Topics in Engineering Mathematics (ENM 601) Spring 2008, 2009. Engineering Mathematics (ENM 521) Spring 2012, 2013.

Students Supervised

Doctoral Gouan Li, Ph.D. (Johns Hopkins), October 1992. Constitutive Models for Ductile Solids Reinforced by Spheroidal Inclusions. Currently: Director, Bioengineering Laboratory and Associate Professor, Department of Orthopaedic Surgery, School of Medicine, Harvard University.

Gal de Botton, Ph.D. (University of Pennsylvania), January 1993. The Constitutive Behavior of Nonlinear Anisotropic Composites. Currently: Professor, Department of Mechanical Engineering, and Head, Department of Biomedical Engineering, Ben Gurion University, Beer Sheva (Israel).

Kingshuk Bose, Ph.D. (University of Pennsylvania), April 1994. Stable Crack Growth under Mixed-Mode Conditions. Currently: Principal Development Engineer, ABAQUS, Dassault Systemes, Providence.

Mati Zaidman, Ph.D. (University of Pennsylvania), December 1994. Composite Materials with Evolving Microstructures. Currently: CEO, SunSol Energy (Israel)

Mahesh Kailasam, Ph.D. (University of Pennsylvania), January 1998. A General Constitutive Theory for Particulate Composites and Porous Materials with Microstructure Evolution. Currently: Director, Energy, SIMULIA, Dassault Systemes, San Francisco (USA)

Michael Nebozhyn, Ph.D., (University of Pennsylvania) May 2000. Variational Estimates for Nonlinear Polycrystals.

Currently: Senior Research Scientist, Merck Research Laboratories, West Point, PA, USA.

Jonathan Briggs, Ph.D. (University of Pennsylvania), May 2001 (with J. P. Ostrowski). Modeling and Control of SMA-Actuated Composites. Currently: Technical Staff, Charles Schwab, San Francisco.

Yi Liu, Ph.D. (University of Pennsylvania), August 2003. Texture Evolution in Polycrystals and Applications to Forming Processes.

Currently: Research Assistant Professor, Biomedical Engineering Department, Indiana University-Purdue University, Indianapolis.

Martin Idiart, Ph.D. (University of Pennsylvania & Ecole Polytechnique), October 2006. Macroscopic Behavior and Field Statistics in Viscoplastic Composites. Currently: Assistant Professor, Aeronautics Department, Universidad Nacional de La Plata and CONICET (Argentina)

Oscar Lopez-Pamies, Ph.D. (University of Penn. & Ecole Polytechnique), October 2006. On the Effective Behavior, Microstructure Evolution and Macroscopic Stability of Elastomeric Composites. (Thesis Prize at the Ecole Polytechnique) Currently: Assistant Professor, Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign.

Francois Willot, Ph.D. (Ecole Polytechnique), January 2007 (with Y.-P. Pellegrini). Numerical Simulations for Porous Metals. Currently: Researcher, Centre de Morphologie Mathmatique, Ecole de Mines de Paris.

Kostas Danas, Ph.D. (University of Pennsylvania & Ecole Polytechnique), May 2008. Heterogeneous Materials with Evolving Microstructure.

Currently: Researcher (CR2), Laboratoire de Mcanique des Solides, Centre National de la Recherche Scientifique, cole Polytechnique, France.

Mihalis Agoras, Ph.D. (University of Pennsylvania), August 2010. On Macroscopic Constitutive Relations and Microstructure Evolution in Multi-Scale Viscoplastic Composites.

Currently: Postdoctoral Researcher, Instituto Madrileo de Estudios Avanzados en Materiales, IMDEA Materials, Madrid, Spain.

Evan Galipeau, Ph.D. (University of Pennsylvania), December 2012. Nonlinear Homogenization of Magnetorheological Elastomers at Finite Strain. Currently: Postdoctoral Researcher, University of Pennsylvania.

Reza Avazmohammadi, Ph.D. (University of Pennsylvania), 2013 (expected). Elasto-Viscoplastic Constitutive Models for Fiber-Reinforced Elastomers.

Morteza Hakimi Siboni, Ph.D. (University of Pennsylvania), 2013 (expected). , Pattern Forming Instabilities in Magneto-Elastic Composites.

Ariel Ibarra-Pino, Ph.D. (University of Pennsylvania), 2016 (expected). Porous Anisotropic Metals.

Dawei Song, Ph.D. (University of Pennsylvania), 2016 (expected). Shape-memory polycrystals.

Postdoctoral Michel Bornert (Ph.D, 1994, cole Nationale des Ponts et Chausss, Paris) 1995. The Viscoplastic Behavior of Composite Materials and Polycrystals. Currently: Senior Scientist and Professor, Unit de Recherche Navier, cole des Ponts Paris Tech (France).

Joo Batista deAguiar (Ph.D., 1989, M.I.T.) 1996. FEM Implementation of Constitutive Models for Materials with Microstructure. Currently: Associate Professor, Mechanical Engineering, University of Sao Paulo, Brazil.

Renald Brenner (Ph.D., 2001, Universit de Paris XIII) 2002. Viscoplastic composites and polycrystals. Currently: Lecturer, Dept. de Gnie Mcanique et Productique, Universit de Paris XIII.

Michele Brun (Ph.D., 2003, University of Trento) 2004-2005. Macroscopic Constitutive Models for Thermoplastic Elastomers. Currently: Lecturer, Dept. Mechanical Engineering, University of Cagliari (Italy). Dirk Mohr (Ph.D., 2003, M.I.T.) 2005. Constitutive Models for Cellular Materials.

Currently: Researcher, C.N.R.S., Solid Mechanics Laboratory, Ecole Polytechnique. Oscar Lopez-Pamies (Ph.D., 2006, University of Pennsylvania) 2007.

Mechanical Properties of Thermoplastic Elastomers. Currently: Assistant Professor, State University of New York at Stony Brook.

Francois Willot (Ph.D., 2007, Ecole Polytechnique) 2007. FFT Simulations of Porous Materials. Currently: Researcher, Centre de Morphologie Mathmatique, Ecole de Mines de Paris.

Vikranth Racherla (Ph.D., 2007, University of Pennsylvania) 2007-2008. Mechanical Properties of Thermoplastic Elastomers. Currently: Assistant Professor, Indian Institute of Technology, Kharagpur.

Mihalis Agoras (Ph.D., 2010, University of Pennsylvania) 2010-2013. Constitutive Relations and Microstructure Evolution for Porous Metals.

Currently: Postdoctoral Researcher, Instituto Madrileo de Estudios Avanzados en Materiales, IMDEA Materials, Madrid, Spain.

External Andri Constantinescu, Ph.D., cole Polytechnique, June 1994. Theses Sur l'Identification des Modules lastiques. (Examinateur) Ives Rougier, Ph.D., cole Polytechnique, July 1994.

Etude du Comportement sous Irradiation: Modlisation Mcanique de l'lastoviscoplasticit. (Examinateur)

Michel Bornert, Ph.D., cole Nationale des Ponts et Chausses, November 1996. Morphologie Microstructurale et Comportement Mcanique. (Rapporteur) Jean-Claude Michel, These d'Habilitation, November 1996. Approche Micromcanique au Comportement des Matriaux Poreux et Composites. Laboratoire de Mcanique et d'Acoustique, C.N.R.S., Marseille. (Rapporteur) Renaud Masson, Ph.D., cole Polytechnique, July 1998.

Estimations Non Linaires du Comportement Global de Matriaux Htrognes. (Examinateur)

Renald Brenner, Ph.D., Universit de Paris XIII, May 2001. Influence de la Microstructure sur le Comportment en Fluage Thermique dAlliages

de Zirconium: Analyse Exprimentale et Mise en Oevre de Mthodes dHomognisation. (Examinateur)

Nel Lahellec, Ph.D., Universit de Aix-Marseille II, December 2001. Homognisation et tude Exprimentale de Composites Visco-Hyperlastiques. (Rapporteur)

Lala Flandi, Ph.D, Universit de Paris, June 2004. Rupture Ductile des Matriaux Viscoplastiques Poreaux avec Effects de Forme des Cavits. (Examinateur) Samuel Forest, These d'Habilitation, November 2004. Milieux Continus Gnraliss et Matriaux Htrognes. Centre des Matriaux, cole de Mines de Paris/CNRS. (Rapporteur) Souhail Youssef, Ph.D., Institut National des Sciences Appliques de Lyon, December 04. Etude par Tomographie X et Modlisation par Elments Finis du Comportment Mcanique des Mousses Solides. (Prsident)

Adel Lachihab, Ph.D., cole Nationale des Ponts et Chausses, December 2004. Un modle Numerique pour les Composites Biphass Matrice-Inclusions Rigides. (Prsident)

Olivier Castelnau, These d'Habilitation, July 2006. Microstructures, htrognits de dformation, et comportement effectif des polycristaux.

Laboratoire des Proprits mcaniques et thermodynamiques des matriaux, Universit de Paris XIII/CNRS. (Rapporteur) Joaquin Moraleda, Ph.D., Universidad Politcnica de Madrid, July 2009.

Micromecnica de elastmeros porosos y reforzados con fibras. (Miembro del Jurado) Renaud Masson, These d'Habilitation, Universit de Aix-Marseille II, December 2010.

Modlisation micromcanique des matriaux htrognes en rgimes transitoires. (Examinateur)

Komlanvi Madou, Ph.D., Universit Pierre et Marie Curie (Paris VI), September 2012. Contribution ltude des effets de forme des cavits en rupture ductile des mtaux. (Examinateur)

Masters Kingshuk Bose, M.S. (The Johns Hopkins University), September 1990. Stable Crack Growth under Mixed-Mode Conditions. Currently: Senior Engineer, Hibbitt, Karlsson & Sorensen, Inc. (ABAQUS).

Emilo Tiberio, M.S., December 1998. Finite-Elastic Composites. Currently: Engineer, Bridgestone, Italy.

Undergraduate Yohann Leroy (Ecole Polytechnique), May-July 2000. Effective Medium Approximation for Strongly Nonlinear Media. (Winner of the Prix dOption in Mechanics, Ecole Polytechnique)

Paul Leblond (MEAM), June-July 2000. Nonlinear Network Systems. Barry Slaff (Physics and Mathematics), June-August 2011 Rotation of a Ferromagnetic Particle in an Elastic Matrix.

Current Research Interests

Mechanics Continuum Mechanics; Composite Materials; Smart Materials; Mechanics of Polycrystalline Deformation and Texture Evolution; Microstructure Evolution and Localization in Manufacturing Processes; Phase Transformations; Fracture Mechanics; Thermoplastic Elastomers; Elastomeric Foams, Reinforced Rubbers; Semi-Crystalline Polymers; Electro-Active Polymers; Magneto-Rheological Elastomers; Complex Fluids. Applied Math Nonlinear Variational Principles; Homogenization Methods; Multi-Scale Analysis and Modeling, Asymptotic Analysis.

Sponsored Research 1988-1990 Stable crack growth in thin structures. National Science Foundation, Solid and Geomechanics Program, Grant No. MSM-88-09177 (PI, at Johns Hopkins University). 1989-1990 The overall response of composite materials undergoing large elastic deformations. Air Force Office of Scientific Research, Program on Mechanics of Materials, Grant No. 89-0288 (PI, at Johns Hopkins University). 1990-1991 Stable crack growth in thin structures. National Science Foundation, Mechanics and Materials Program, Grant No. MSM-90-96324 (PI). 1990-1993 Constitutive models for understanding the effect of porosity on localization in manufacturing. National Science Foundation, Manufacturing Processes Program, Grant No. DDM-90-12230 (co-PI with K.T. Ramesh, subcontract with JHU). 1991-1992 The overall response of composite materials undergoing large elastic deformations. Air Force Office of Scientific Research, Mechanics of Materials Program, Grant No. 91-0161 (PI). 1991-1992 Interfacial crack growth and effective properties of nonlinear composites. National Science Foundation, MRL Program, Grant No. DMR-91-20668 (co-PI). 1991-1992 Nonlinear Micromechanics. The Research Foundation, University of Pennsylvania (PI). 1992-1993 Interfacial crack growth and effective properties of nonlinear composites. National Science Foundation, MRL Program, Grant No. DMR-91-20668 (co-PI). 1992-1996 Control of microstructure against strain localization during deformation processing. National Science Foundation, Mechanics and Materials Program, Grant No. MSS-92-02513 (co-PI with J. Bassani and C. Laird). 1993-1994 Interfacial crack growth and effective properties of nonlinear composites. National Science Foundation, MRL Program, Grant No. DMR-91-20668 (co-PI). 1993-1994 Nonlinear heterogeneous media. The Research Foundation, University of Pennsylvania (PI). 1993-1995 Modeling and analyses of functionally gradient materials. Office of Naval Research, Applied Mathematics Program, Grant No. N-00014-93-1-0557 (co-PI with F. Erdogan, subcontract Lehigh). 1994-1995 Interfacial crack growth and effective properties of nonlinear composites. National Science Foundation, MRL Program, Grant No. DMR-91-20668 (co-PI). 1995-1996 Interfacial crack growth and effective properties of nonlinear composites. National Science Foundation, MRL Program, Grant No. DMR-91-20668 (co-PI).

1996-1997 On the theory of nonlinear homogenization and microstructure evolution. Aluminum Company of America (PI). 1996-1997 Interfacial crack growth and effective properties of nonlinear composites. National Science Foundation, MRSEC Program, Grant No. DMR-96-32598 (co-PI). 1996-1998 Nonlinear composite materials. Office of Naval Research, Applied Mathematics Program, Grant No. N00014-96-1-0681 (PI). 1996-1999 Metal-matrix and porous composites: Constitutive models and microstructure evolution. Air Force Office of Scientific Research, Applied Mathematics Program, Grant No. F49620-97-1-0212 (PI). 1996-2000 Heterogeneous materials with evolving microstructure: Constitutive models & applications. National Science Foundation, Solid Mechanics Program, Grant No. CMS-96-22714 (PI with co-PI N. Aravas). 1997-1998 The mechanics and control of smart structures: Theory and applications. The Research Foundation, University of Pennsylvania (co-PI with J. Ostrowski). 1998-2000 Micromechanics of nonlinear composites and polycrystals. National Science Foundation, International Programs (France), INT-97-26521 (PI with co-PIs J. Bassani, P. Suquet, A. Zaoui). 1999-2002 Nonconvex homogenization and applications. National Science Foundation, Applied Mathematics Program, Grant No. DMS-99-71958 (PI).

1999-2002 Rigorous micro-macro estimates for low-symmetry polycrystals. National Science Foundation, CMS, Materials Engineering Program, Grant No. CMS-9972234 (PI).

2001-2002 From individual to collective behavior in biological systems. The Research Foundation, University of Pennsylvania (PI).

2001-2003 Homogenization and applications to composites, polycrystals and smart materials. NATO Advanced Research Workshop, Grant No. PST.ARW.978499 (PI).

2002-2007 Nonlinear homogenization and applications to porous and nematic elastomers. National Science Foundation, Applied Mathematics Program. Grant No. DMS-0204617 (PI). 2002-2007 Macroscopic behavior and field fluctuations in random heterogeneous media:

Theory and Applications. National Science Foundation, Mechanics &Structure of Materials Program. Grant No. CMS-0201454 (PI).

2003-2006 Field fluctuations, microstructure evolution, and coupled phenomena in random heterogeneous materials.

National Science Foundation, International Programs (France), Grant No. INT-0231867 (PI with co-PIs K. Bhattacharya and N. Triantafyllidis).

2003-2003 Group travel: NATO ARW on homogenization and applications to composites, polycrystals and smart materials.

National Science Foundation Applied Math Program. Grant No. DMS-0305443 (PI).

2004-2007 Multiscale modeling of nanostructured triblock copolymers. Department of Energy, Basic Energy Sciences Program, Grant No. DE-FG02-04ER46110-AO (PI).

2006-2007 C.P.R.: Ageing in reinforced polymers. C.N.R.S. and Industrial Partners (co-PI).

2006-2009 Multiscale, mechanical modeling of nanostructured polymers. Agence Nationale de la Recherche (France), Engineering Sciences Program (co-PI with J.-Y. Cavaille, A. Duffieux, R. Seguela).

2007-2011 Finite-Strain, Constitutive Models for Semi-Crystalline Polymers. National Science Foundation, Mechanics &Structure of Materials Program. Grant No. CMMI-0654063 (PI).

2007-2011 Homogenization-Based Constitutive Models for Magnetorheological Elastomers. National Science Foundation, Applied Math Program. Grant No. DMS-0708271 (PI).

2008-2009 Homogenization methods for micromechanical modeling of nonlinear nano-structured composites. Lockheed Martin Corporation, Advanced Technologies Laboratories. Sponsored Research Agreement (PI).

2008-2009 Homogenization methods for micromechanical modeling of nonlinear nano-structured composites. Benjamin Franklin Technology Partners, Nanotech Institute. Matching funds (PI).

2009-2011 Dilatational viscoplasticity of polycrystalline materials. Los Alamos National Laboratory, DoD-DoE Memorandum of Understanding "Joint Munitions Program." Subcontract # 76847-001-09 to Penn (PI).

2009-2013 The anisotropic response of magneto-sensitive elastomer composites with permanently magnetized inclusions. United States-Israel Binational Science Foundation, Mechanics & Structure of Materials Program. Grant No. 2008419 (co-PI with G. deBotton and L. Dorfmann).

2009-2014 PENN-UPR Partnership for Research and Education in Materials. National Science Foundation, CIRE Program. Grant NSF-DMR-0934195 (participant).

2010-2013 Fiber-Reinforced Polymeric Material Systems: A Multi-Scale, Elasto-Viscoplastic Homogenization Approach. National Science Foundation, Mechanics & Structure

of Materials Program. Grant CMMI-0969570 (PI). 2011 Fiber-Reinforced Polymeric Material Systems: A Multi-Scale, Elasto-Viscoplastic

Homogenization Approach. National Science Foundation, Mechanics & Structure of Materials Program. REU Supplement (PI). 2011-2013 Field-Induced, Pattern-Changing Instabilities in Active Composites. Office of Naval Research, Applied Computational Analysis Program, Grant No. N000141110708 (PI).

2011-2014 Pattern-Changing Instabilities and Giant Magnetostriction in Periodic Magneto-Elastic Composites. National Science Foundation, Mechanics & Structure

of Materials Program. Grant CMMI-1068769 (PI). 2011-2014 Non-Convex Homogenization and Applications to (Ferromagnetic) Shape-Memory

Polycrystals. National Science Foundation, Applied Math Program. Grant No. DMS- 1108847 (PI).

2011-2014 Transatlantic Partnership for Excellence in Engineering, Erasmus Mundus Partnership Agreement # 2010-5094-5-EMA2. (Penn co-PI with J. Sun). Lead Institution: Polytechnic University of Valencia with 10 partners.

Invited Seminars Crack propagation in hardening elastoplastic solids. Department of Engineering, University of Cambridge (England), April 30, 1987. Bounds and variational estimates in power-law creep. Department of Mathematics, University of Glasgow (Scotland), June 12, 1987. Bounds and variational estimates in power-law creep. Department of Mathematics, Heriot-Watt University (Scotland), June 17, 1987. On the overall properties of nonlinearly elastic composites. Department of Applied Mathematics, University of Virginia, April 15, 1988. The effective properties of nonlinearly viscous composites. Department of Mathematics, U.S. Naval Academy, October 24, 1988. The overall constitutive behavior of nonlinearly elastic composites. Dept. of Mechanical Engineering, Massachusetts Institute of Technology, November 15, 1988. The overall properties of nonlinearly elastic composites. Department of Mathematical Sciences, University of Delaware, April 13, 1989. The overall constitutive behavior of nonlinearly elastic composites. Division of Engineering, Brown University, April 17, 1989. The overall constitutive behavior of nonlinearly elastic composites. Department of Theoretical and Applied Mechanics, Cornell University, April 19, 1989. The effective properties of nonlinearly viscous composites. Department of Mechanical Engineering, University of Maryland (B.C.), December 1, 1989. The effective constitutive behavior of nonlinear composite materials. Department of Mechanical Engineering, Stanford University, March 5, 1990. The micromechanics of porous and rigidly reinforced nonlinear materials. Department of Materials Science, University of California, Berkeley, March 6, 1990. Propiedades efectivas de materiales compuestos. & Propiedades effectivas de materiales compuestos no-lineales. Instituto de Investigaciones en Matematicas Aplicadas y en Systemas, Universidad Nacional Autnoma de Mexico (Mexico), July 30-August 3, 1990.

On the effective properties of nonlinear anisotropic composite materials. Department of Mechanical and Aerospace Engineering, Rutgers University, December 11, 1991. The effective properties of anisotropic composites. Department of Mechanical and Applied Mechanics, Lehigh University, January 31, 1992. The effective properties of nonlinear anisotropic composites. Department of Physics and Astronomy and Department of Materials Science and Mechanics, Michigan State University, February 27, 1992. Bounds and exact estimates for the properties of nonlinear heterogeneous systems. Center for Nonlinear Analysis, Department of Mathematics, Carnegie Mellon University, March 26, 1992. The effective properties of nonlinear anisotropic composites. Laboratoire de Mcanique et d'Acoustique, Centre National de la Recherche Scientifique, Marseille (France), June 10, 1992. The effective properties of nonlinear anisotropic composites. Laboratoire de Physique et Mcanique des Matriaux, Universit de Metz (France), June 22, 1992. Interfacial crack growth in elastoplastic solids. Laboratoire de Mcanique des Solides, Ecole Polytechnique (France), June 25, 1992. The effective properties of nonlinear composites. Department of Mechanical Engineering, Ben Gurion University (Israel), August 20, 1992. The effective behavior of nonlinear composites and polycrystals. Division of Engineering and Applied Science, California Institute of Technology, March 9, 1993. Nonlinear homogenization methods: Application to particulate composites and polycrystals. Department of Aerospace Engineering and Mechanics, University of Minnesota, October 15, 1993. A nonlinear homogenization procedure: application to composites and polycrystals. Sminaire de Mcanique Theorique, Universit Pierre et Marie Curie (Paris VI), April 1, 1994. Composite materials: The effects of nonlinearity, anisotropy and evolution of the microstructure. Laboratoire de Mcanique, Ecole Centrale de Paris, May 5, 1994. Nonlinearity and anisotropy in composite materials. Department of Engineering, University of Cambridge (England), October 27, 1994. Nonlinearity and anisotropy in composite materials. Department of Mathematics, University of Glasgow (Scotland), November 11, 1994. Constitutive models for two-phase media with evolving microstructure. Department of Applied Mathematics and Theoretical Physics, University of Cambridge (England), November 22, 1994. Nonlinear composites and microstructure evolution. Dept. of Mechanical Engineering, Massachusetts Institute of Technology, October 17, 1995. Homogenization in nonlinear materials with evolving microstructure. Alcoa Technical Center, Aluminum Company of America, October 26, 1995. Microstructure evolution in nonlinear heterogeneous systems. Department of Aerospace Engineering, University of Michigan, November 10, 1995. Nonlinear composites and microstructure evolution. Department of Mechanical Engineering, Yale University, February 23, 1996.

On some nonlinear homogenization schemes Courant Institute of Mathematical Sciences, New York University, April 29, 1996. Self-consistent and Hashin-Shtrikman estimates for nonlinear composites. Division of Engineering, Brown University, October 7, 1996. Self-consistent and other estimates for nonlinear composites. Department of Civil Engineering, University of California, Berkeley, October 14, 1996. Nonlinear composites and microstructure evolution. Mechanics and Materials Group, Sandia National Laboratories, October 15, 1996. Self-consistent estimates for nonlinear composites. Department of Mechanical Engineering, University of Maryland, November 1, 1996. Nonlinear composites and microstructure evolution. Mechanics and Materials Group, Army Research Laboratories, November 20, 1996. Microstructure evolution in porous and particle-reinforced composites. Division of Engineering and Applied Sciences, Harvard University, May 7, 1997. Variational estimates of the self-consistent type for creep of polycrystalline materials. Materials Science Group, Lawrence Livermore National Laboratories, September 25, 1997. Nonlinear composites and microstructure evolution. Department of Engineering Science and Mechanics, Penn State University, December 3, 1997. Nonlinear homogenization and applications to deformation processing. Applied Mathematics Program, California Institute of Technology, March 30, 1998. Microstructure evolution in porous and particle-reinforced composites. Laboratoire de Mcanique des Solides, Ecole Polytechnique (France), June 22, 1998. Nonlinear homogenization and applications. Department of Materials Science, Universidad Politecnica de Madrid, June 28, 1999. Homogenization estimates for nonlinear composites and polycrystals. Isaac Newton Institute for Mathematical Sciences, Cambridge University, September 12, 1999. Microstructure evolution in porous and composite materials: Implications for shear localization. Isaac Newton Institute for Mathematical Sciences, Cambridge University, October 14, 1999.

Nonlinear composites and polycrystals. Department of Mechanical and Aerospace Engineering, Arizona State University, March 3, 2000.

Homogenization estimates for nonlinear composites and polycrystals. Mathematical Sciences Research Institute, Berkeley, March 6-17, 2000.

Nonlinear composites and polycrystals. Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, April 27, 2000.

Nonlinear homogenization and applications. Department of Mathematics, Georgia Institute of Technology, February 26, 2001.

Second-order estimates for nonlinear composites incorporating field fluctuations. Division of Engineering, Brown University, April 2, 2001.

Second-order estimates for nonlinear composites incorporating field fluctuations. Seminaire Ile-de-France Sud, Ecole Centrale, Paris, June 21, 2001.

Homogenization-based constitutive models for viscoplastic polycrystals undergoing finite strain. Seminaire de Mecanique, Ecole Polytechnique, Paris, July 12, 2001.

Tutorial on Homogenization. Isaac Newton Institute for Mathematical Sciences, Cambridge University, October 4 and 15, 2001.

Recent developments in nonlinear homogenization. Department of Engineering, Cambridge University, October 11, 2001.

Deformation and texture evolution in high-strength polycrystalline metals. Materials Science and Technology Division, Los Alamos National Laboratory, January 24, 2002. Homogenization-based constitutive models for viscoplastic polycrystals undergoing finite strain. Department of Aerospace Engineering, University of Michigan, March 28, 2002. Recent developments in nonlinear homogenization. Department of Mechanical Engineering, University of Michigan, March 29, 2002. Homogenization-based constitutive models for polycrystalline metals undergoing finite strain. Department of Mechanical Engineering, Massachusetts Institute of Technology, March 11, 2002. Recent developments in nonlinear homogenization. Sminaire de la Fdration Francilienne en Mcanique des Matriaux, Structures et Procds, Ecole Nationale des Ponts et Chauses, Paris, November 19, 2003. Recent developments in nonlinear homogenization and applications. Sminaire de Mcanique Thorique, Universit Pierre et Marie Curie (Paris VI), January 30, 2004. Recent developments in nonlinear homogenization and applications to viscoplastic polycrystals. Laboratoire de Glaciologie et Gophysique de l'Environnement, CNRS, Grenoble, February 27, 2004. Nonlinearity and microstructure evolution in two-phase viscous media. Laboratoire dHydrodynamique, CNRS, Ecole Polytechnique, Paris, May 6, 2004. Macroscopic behavior, microstructure evolution and instabilities in elastomeric composites. Micromechanics Seminar, Cambridge University, May 7, 2004. Macroscopic behavior, microstructure evolution and instabilities in elastomeric composites. Groupe d'Etude de Mtallurgie Physique et de Physique des Matriaux, INSA de Lyon, May 11, 2004.

Nonlinear Homogenization, Microstructure Evolution and Applications. Department of Mechanical Engineering, Northwestern University, May 28, 2004. Homogenization, microstructure evolution and instabilities in polymeric composites. Laboratoire de Transformation et Vieillissement des Polymres, Ecole Nationale Suprieure dArts et Mtiers de Paris, June 10, 2004. Nonlinear Homogenization and Applications to Hyperelastic Composites. Center for Applied Mathematics, Ecole Polytechnique, January 18, 2005. Variational Methods for Nonlinear Composites and Applications. Civil Engineering Department, Ecole de Mines de Paris, April 1, 2005. Homogenization, microstructure evolution and instabilities in fiber-reinforced composites. Department of Mathematics, Universidad de Castilla-La Mancha (Spain), May 19, 2005.

Midwest Mechanics Seminar: Effective behavior, microstructure evolution and macroscopic instabilities in elastomeric composites. Department of Mechanical Engineering, University of Michigan, October 24, 2005. Department of Mechanical Engineering, Michigan State University, October 25, 2005. Department of Aerospace Engineering, Iowa State University, October 26, 2005. Departments of Engineering Physics & Materials Science, University of Wisconsin, October 27, 2005. Department of Aerospace Engineering and Mechanics, University of Minnesota, October 28, 2005. Macroscopic behavior, microstructure evolution and implications for stability in nonlinear heterogeneous media. Department of Civil Engineering, Northwestern University, January 13, 2006. Midwest Mechanics Seminar: Effective behavior, microstructure evolution and macroscopic instabilities in porous and reinforced elastomers. Department of Mechanical Engineering, Northwestern University, April 24, 2006. Department of Aerospace and Mechanical Engineering, University of Notre Dame, April 25, 2006. Department of Mechanical, Materials & Aerospace Engineering, Illinois Institute of Technology, April 26, 2006. Departments of Aerospace Engineering and Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, April 27, 2006. School of Aeronautics and Astronautics, Purdue University, April 28, 2006. Macroscopic behavior, microstructure evolution and implications for stability in porous metals. Section of Materials Science and Engineering, Ecole Polytechnique Fdrale de Lausanne, July 3, 2006. Recent developments in nonlinear homogenization and applications. The Heilmeier Research Award Lecture. School of Engineering and Applied Science, University of Pennsylvania, February 20, 2007. Effective behavior, microstructure evolution and macroscopic instabilities in porous and reinforced elastomers. Departamento de Ciencia de Materiales, Universidad Politcnica de Madrid, July 17, 2007. Nonlinear homogenization. Mathematics Colloquium. Temple University, December 3, 2007. Thermoplastic elastomers: Multiscale modeling incorporating microstructure evolution. Division of Engineering, Brown University, March 10, 2008. Multiscale modeling and microstructure evolution in thermoplastic elastomers. Department of Mechanical Engineering, Washington University, April 17, 2008. Thermoplastic elastomers: Multiscale modeling and microstructure evolution. Laboratoire de Modlisation en Mcanique, Universit Pierre et Marie Curie (Paris VI), June 24, 2008. Reinforced elastomeric materials at large strains: effective behavior, microstructure evolution and macroscopic instabilities. Mechanics and Computation Seminar, Department of Mechanical Engineering, Stanford University, May 14, 2009. Reinforced elastomeric materials at large strains: effective behavior, microstructure evolution and macroscopic instabilities. Micromechanics Seminar, Department of Engineering, Cambridge University, September 4, 2009. Optimizing the properties of magnetorheological elastomers by means of homogenization. Department of Mechanical Engineering, The City College of New York, February 28, 2013.

Flopping instabilities in reinforced elastomers with nematic order: pre- and post-bifurcation macroscopic response. Solid Mechanics Seminar, Oxford University, May 20, 2013. Constitutive models for magnetorheological elastomers at finite strains: Dipolar interactions versus magnetic torques. LMT, Ecole Normale Superieure de Cachan, May 23, 2013.

Invited Conference and Other Presentations

The effective properties of incompressible brittle/ductile composites. IUTAM Symposium on Inelastic Deformation of Composite Materials, Rensselaer Polytechnic Institute, Troy, May 29June 1, 1990. The effective behavior of nonlinear composites: A comparison between methods. 7th International Symposium on Continuum Models of Discrete Systems, Paderborn (Germany), June 15-19, 1992. Modeling the deformation of porous materials. MCAMAT 93: International Seminar on Micromechanics of Materials, Electricit de France, Fontainebleau (France), July 6-8, 1993. Implications of inhomogeneity and anisotropy for classical plasticity models. Workshop on Basic Phenomena in Plasticity, Center for Nonlinear Analysis, Carnegie Mellon University, Pittsburgh, March 17-19, 1994. Nonlinear homogenization: Application to metal-matrix composites and polycrystals. SIAM Conference on Emerging Issues in Mathematics and Computation from the Materials Sciences, Pittsburgh, April 18-20, 1994. Nonlinear composites: Anisotropy and evolution of microstructures. I.M.M. Symposium on Scale Effects and the Stability of Structures Media, Institute for Mechanics and Materials, University of California, San Diego, June 22-24, 1994. Microstructure evolution in rigid/plastic composites. IUTAM Symposium on Microstructure-Property Interactions in Composite Materials, Aalborg (Denmark), August 23-25, 1994. The overall behavior of anisotropic nonlinear composites. IUTAM/ISIMM Symposium on Anisotropy, Inhomogeneity and Nonlinearity, University of Nottingham (England), August 30-September 3, 1994. Nonlinear Theory of Composites. 8th International Symposium on Continuum Models and Discrete Systems, Varna (Bulgaria), June 11-16, 1995. The effect of particle shape and distribution on the effective behavior of metal-matrix composites. Workshop on Modeling of Structural and Functional Materials, Max-Planck-Institut fr Metallforschung, Stuttgart (Germany), July 6-7, 1995.

A micromechanical approach to damage in ductile materials. IUTAM Symposium on Micromechanics of Plasticity and Damage of Multiphase Materials, Svres (France), August 29-September 1, 1995. Microstructural evolution in porous materials. IUTAM Symposium on Mechanics of Porous and Granular Materials, Cambridge (England), July 15-July 17, 1996. Self-consistent estimates for nonlinear composites. International Symposium on Deformation Characteristics and Modeling of Materials, Sendai (Japan), August 21-23, 1996. Constitutive models for ductile heterogeneous materials with microstructure evolution. The 19th International Congress of Theoretical and Applied Mechanics (IUTAM), Kyoto (Japan), August 25-31, 1996. Six Lectures on Nonlinear Composites and Microstructure Evolution. CISM Course on Continuum Micromechanics, Udine (Italy), September 2-6, 1996. A second-order theory for composite materials with nonlinear constitutive behavior. IUTAM Symposium on Transformation Problems in Composite and Active materials, Cairo (Egypt), March 9-13, 1997. Variational estimates of the self-consistent type for creep of polycrystalline materials. IUTAM Symposium on Micro- and Macro-Structural aspects of Thermoplasticity, Bochum (Germany), August 25-29, 1997. Microstructure evolution in porous and particle-reinforced composites. Groupe Interdisciplinaire de Recherche en lment Finis, Universit Laval, Quebec (Canada), May 8, 1998. Micromechanics of Nonlinear Composites. 9th International Symposium on Continuum Models and Discrete Systems (CMDS 9), Istambul (Turkey), June 29-July 3, 1998. Nonlinear Homogenization and Applications. 7th International Symposium on Plasticity, Cancun (Mexico), January 5-13, 1999.

Constitutive Models for Porous Media with Microstructure Evolution & Application to Forming. 3rd National Congress on Computational Mechanics, Volos (Greece), June 24-26, 1999.

Nonlinearity and microstructure evolution in composite materials. (Sectional Lecture) The 20th International Congress of Theoretical and Applied Mechanics (IUTAM), Chicago, August 27-September 2, 2000. Homogenization in Inelastic Solids. TU Delft Summer School on Micromechanics of Materials, Ameland (Netherlands), October 2-6, 2001. Homogenization-Based Constitutive Models for Polycrystalline Metals at Finite Strains. IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains, Stuttgart (Germany), August 20-24, 2001.

Field Fluctuations in Nonlinear Homogenization and Applications to Porous Media. IUTAM Symposium on Micromechanics of Fluid Suspensions and Solid Composites, Austin, Texas, April 3-5, 2002 Field fluctuations and macroscopic properties in nonlinear composites. 14th U.S. National Congress of Theoretical and Applied Mechanics (USNTAM14), Blacksburg (VA), June 23- 28, 2002. Ductile Damage. EDF/CEA/INRIA Summer School on Damage Mechanics, Paris, July 1-12, 2002. Nonlinear Homogenization and Applications. IUTAM Summer School on Mechanics of Heterogeneous Materials, Beijing (China), September 1-5, 2002. Application of a variational self-consistent procedure to the prediction of deformation textures in polycrystals (lecture given by P. Gilormini). IUTAM Symposium on Multi-Scale Modeling and Characterization of Elastic-Inelastic Behavior of Engineering Materials, Marrakesh (Morocco), October 20 -25, 2002. Linear Comparison Methods in Nonlinear Homogenization and Applications. Nonlinear Homogenization and Its Applications to Composites, Polycrystals and Smart Materials, NATO Advanced Research Workshop, Kazimierz Dolny (Poland), June 23-26, 2003.

Recent Developments in Nonlinear Homogenization. SNP Meeting/IMA PI Conference: Multiscale Effects in Material Microstructures and Defects, University of Kentucky, Lexington, September 26-28, 2003. Effective Behavior, Field Fluctuations and Loss of Ellipticity in Hyperelastic Composites. (with O. Lopez Pamies), Minisymposia in Composites and Polycrystals, 4th SIAM Conference on Mathematical Aspects of Materials Science, Los Angeles, May 23, 2004. Macroscopic behavior, microstructure evolution and implications for instability in nonlinear heterogeneous media. Symposium on Tectonics on Human Time Scales, Collaborative Research Center on Rheology of the Earth, Ruhr-University, Bochum, June 4, 2004. Homogenization-based constitutive models for fiber-reinforced elastomers and implications for loss of ellipticity (with O. Lopez Pamies), Minisymposia in Composites and Polycrystals, EUROMECH Colloquium (No. 464) on Fiber-reinforced Solids: Constitutive Laws and Instabilities. Castro Urdiales, Cantabria, September 28-October 1, 2004. Macroscopic behavior and field fluctuations in random viscoplastic polycrystals. (with R. Lebensohn) 2nd International Conference on Multiscale Materials Modeling (MMM-II) University of California, Los Angeles, October 11-15, 2004. Nonlinear homogenization and applications to finite elasticity. Workshop on Thermodynamische Materialtheorien, Mathematisches Forschungsinstitut Oberwolfach (Germany), December 12-18, 2004. Macroscopic behavior, field fluctuations and texture evolution in viscoplastic polycrystals. 8th International Conference on Computational Plasticity (COMPLAS 2005), Barcelona, September 5-8, 2005.

Macroscopic behavior, microstructure evolution and loss of ellipticity for elastomeric composites. First International Conference on Multiscale Problems: Modeling, Analysis and Applications (BICS 2005), Bath (UK), September 12-14, 2005. Variational methods in nonlinear homogenization. Colloque National MECAMAT on Multiscale Approaches in Mechanics of Materials, Aussois (France), January 23-27, 2006. Effective behavior, microstructure evolution and macroscopic instability in hyperelastic composites at finite strain. NSF/ARO/RPI Symposium on Mechanics of Composites in the Era of Energy and Nanotechnology, Rensselaer Polytechnic University, Troy, May 21-22, 2007. Homogenization-based constitutive modeling of fiber-reinforced elastomers. (with O. Lopez) International Workshop on the Interplay between Mechanics and Biology on Multiple Length Scales, Castro-Urdiales (Spain), July 1-4, 2007. Multi-scale modeling of thermoplastic elastomers with lamellar microstructures. (with O. Lopez) International Conference on Thermomechanical Modeling, Ecole Polytechnique, Paris (France), July 9-12, 2007. Field Statistics in Nonlinear Composites. (with M. idiart) 11th International Symposium on Continuum Models and Discrete Systems, Ecole de Mines, Paris (France), July 30-August 3, 2007. Multiscale modeling of thermoplastic elastomers incorporating microstructure evolution. (Keynote) First American Academy of Mechanics Conference, New Orleans, June 17-20, 2008. A homogenization-based constitutive model for viscoplastic porous media with evolving microstructure. (Keynote) Third US-France ICACM Symposium on Damage and Failure in Heterogeneous Materials and Structures, Shalimar, April 22-24, 2009. (with O. Lopez Pamies and Vikranth Racherla) Thermoplastic elastomers: Multiscale modeling, microstructure evolution and macroscopic instabilities. (Keynote.) Fourth European Conference on Computational Mechanics, Paris, May 16-21, 2010. Bounds and estimates for nonlinear composites. C.N.R.S. Summer School on Bridging of Scales in Mechanics of Materials, Brianon, August 23-September 1, 2010. Variational linear comparison bounds for nonlinear composites with anisotropic phases. Workshop on Heterogeneous Materials and Composites in honor of Andr Zaoui, Brianon, September 2-3, 2010. Nematic elastomers: Macroscopic behavior and instabilities. Symposium on Stability and Nonlinear Solid Mechanics in honor of Nguyen Quoc Son, Intitut Poincar, Paris, September 6-7, 2010. Constitutive models for multi-scale, multi-physics material systems via nonlinear homogenization. NSF Workshop on Challenges and Opportunities for Research in Multiscale Modeling in Mechanics of Materials, Atlanta, January 6, 2011. Constitutive response of porous elastomers. IUTAM Symposium on Mechanics of Liquid and Solid Foams, Austin, Texas, May 8-13, 2011. Bounds of the Hashin-Shtrikman type for nonlinear magneto-elastic composites. Symposium on Micromechanics of Composite Materials (in honor of Professor Zvi Hashin on the occasion of the award of the Franklin Medal), Villanova University, PA, April 25, 2012.

The effect of porosity and its anisotropic evolution on the viscoplastic behavior of metals. IUTAM Symposium on Fracture Phenomena in Nature and Technology, Brescia, Italy, July 1-5, 2012. Constitutive Models for Magneto-Elastic Composites at Finite Strains: The Effects of Particle Shape and Anisotropy. (Keynote) 8th European Solid Mechanics Conference, Graz, Austria, July 9-13, 2012. Microstructure evolution and its Effect on the macroscopic response and stability of porous metals. (Keynote) The 49th Annual Technical Conference of the Society of Engineering Science, Georgia Tech, October 10-12, 2012. Constitutive models for magneto-elastic composites at finite strains: Microstructural effects and optimization. 11th Colloque National den Calcul des Structures et Modelisation (CSMA 2013), Giens, France, May 13-17, 2013. New variational estimates for the macroscopic behavior and microstructure evolution in porous viscoplastic media. Prager Medal Symposium in honor of George Weng, The 50th Annual Technical Conference of the Society of Engineering Science, Brown University, July 28-31, 2013. Magnetoactive Elastomers at Finite Strains: Macroscopic Response, Microstructure Evolution and Instabilities. Prager Medal Symposium in honor of David Steigmann, The 50th Annual Technical Conference of the Society of Engineering Science, Brown University, July 28-31, 2013. Estimates for the macroscopic response of elastomers reinforced with random distributions of fibers at Finite Strains. IUTAM Symposium on Multiscale Modeling and Uncertainty Quantification of Materials and Structures, Santorini, Greece, September 8-11, 2013. Constitutive theories for active composites at finite strains. (Plenary) 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2014), Erlangen-Nrnberg, Germany, March 10-14, 2014. Dielectric elastomer composites at finite strains. IUTAM Symposium on Mechanics of Soft Active Materials, Haifa, Israel, May 12-15, 2014.

Contributed Conference Presentations

Asymptotic fields in steady crack growth with linear strain-hardening. The 10th U.S. National Congress of Applied Mechanics, The University of Texas at Austin, June 16-20, 1986. Bounds and variational estimates in power-law creep. The 29th British Theoretical Mechanics Colloquium, University of Nottingham (England), March 31April 3, 1987. Nonlinearly elastic composites. Society for Natural Philosophy, 25th Anniversary Meeting, The Johns Hopkins University, Baltimore, March 23, 1988. On the overall properties of nonlinearly elastic composites. The 17th International Congress of Theoretical and Applied Mechanics (IUTAM), Institut de Mecanique de Grenoble (France), August 21-27, 1988. Crack propagation along a brittle/ductile interface I. Near-tip fields. (with P.A. Mataga) Third Joint ASCE/ASME Mechanics Conference, University of California, San Diego, July 912, 1989.

Variational estimates for the effective properties of porous Ramberg-Osgood materials. Fifteenth Southeastern Conference on Theoretical and Applied Mechanics, Georgia Institute of Technology, Atlanta, March 22-23, 1990. Bounds and estimates for the effective properties of nonlinear composites. Slow crack growth between dissimilar materials and under mixed-mode conditions. The 11th U.S. National Congress of Applied Mechanics, University of Arizona, Tucson, May 21-25, 1990. Bounds and estimates for the effective properties of heterogeneous elastic materials. ASME Winter Annual Meeting, Symposium on Constitutive Issues in Finite Elasticity, Dallas, November 2530, 1990. The effective properties of nonlinear composites. Second International Conference on Industrial and Applied Mathematics, Washington, July 8-12, 1991. Effective anisotropic properties of creeping composites. The Third International Symposium on Plasticity and its Current Applications, Grenoble (France), August 12-16, 1991. Effective properties in power-law creep. International Colloquium on Mechanics of Creep Brittle Materials, Leicester (England), September 2-4, 1991. On the overall properties of composite materials. AFOSR Contractors Meeting on Mechanics of Materials, Dayton, Ohio, October 7-8, 1991. The effective properties of anisotropic composites. The effective properties of nonlinear heterogeneous systems. Slow crack growth under remote mixed-mode conditions. (with P.A. Mataga & K. Bose) 28th Annual Meeting of the Society of Engineering Science, University of Florida, Gainesville, November 6-8, 1991. The effect of texture development on the localization of porous metals. (with M. Zaidman) The elastic-plastic behavior of fiber composites. (with G. deBotton) Elastic-plastic interfacial crack growth. (with P. A. Mataga) The 18th International Congress of Theoretical and Applied Mechanics (IUTAM), Technion, Haifa (Israel), August 22-28, 1992. Estimates for the yield strength of two-phase, perfectly plastic composites. (with G. deBotton) Constitutive models for ductile solids reinforced by rigid inclusions. (with G. Li and A.S. Douglas) 29th Annual Meeting of the Society of Engineering Science, University of California, San Diego, September 14-16, 1992. A comparison of methods for estimating the effective properties of nonlinear composites. American Mathematical Society, Special Session on Effective Properties of Inhomogeneous Media, University of Utah, Salt Lake City, April 9-10, 1993. The effective response of metal matrix composites with spheroidal inclusions. (with G. Li) Joint ASCE-ASME-SES Meeting, University of Virginia, Charlottesville, June 6-9, 1993.

The effect of mode mix on interfacial toughness: a ductile mechanism. (with K. Bose) The 25th National Symposium on Fracture Mechanics, Lehigh University, Bethlehem, June 29-July 1, 1993. The effect of void shape evolution on the deformation of porous metals. ASME Winter Annual Meeting, Symposium on Micromechanics of Composites, New Orleans, November 28-December 3, 1993. Small-contrast expansions for the effective properties of nonlinear composites. (with P. Suquet) SIAM Conference on Emerging Issues in Mathematics and Computation from the Materials Sciences, Pittsburgh, April 18-20, 1994. Microstructure evolution in nonlinear composites and its effect on localization. Bounds and estimates for the effective behavior of polycrystals in power-law creep. (with G. deBotton) The 12th U.S. National Congress of Applied Mechanics, The University of Washington, June 27-July 1, 1994. Constitutive models for porous solids in power-law creep: Microstructure evolution. (with M. Kailasam) ASME Winter Annual Meeting, Symposium on Net Shape Processing of Powder Materials, San Francisco, November 12-17, 1995. Exact second-order estimates for nonlinear composite materials. ASME Mechanics and Materials Conference, Johns Hopkins University, June 12-14, 1996. Variational methods for estimating nonlinear effective behavior. Second SIAM Conference on Mathematical Aspects of Materials Sciences, Philadelphia, May 12-14, 1997. Exact second-order estimates for nonlinear composite materials. Joint ASME/ASCE/SES Summer Meeting, Northwestern University, June 29-July 2, 1997.

The effect of microstructure evolution on the stability of ductile composites. ASME Winter Annual Meeting, Symposium on Instability in Nonlinear Microstructured Media, Dallas, November 16-21, 1997.

On the effective behavior of nonlinear elastic composites. 35th Annual Technical SES Meeting, Symposium on Topics in Theoretical and Applied Elasticity, Washington State University, September 27-30, 1998. Second-order estimates of the self-consistent type for nonlinear polycrystals. American Mathematical Society Regional Meeting, State College, October 19-20, 1998. Microstructure evolution in particle-reinforced systems. 7th International Symposium on Plasticity and its Current Applications, Cancun (Mexico), January 5-13, 1999. Macroscopic properties of elastomeric composites and applications. 3rd SIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, May 21-24, 2000. Second-order estimates for hyperelastic composites and applications to black-filled elastomers. 4th European Solid Mechanics Conference, Metz (France), June 26-30, 2000.

Second-order estimates for porous nonlinear materials incorporating field fluctuations. 2001 ASME International Mechanical Engineering Congress, New York, November 12, 2001. Second-order homogenization estimates for viscoplastic polycrystals (with Y. Liu). 39th Annual Technical SES Meeting, Prager Medal Symposium, Pennsylvania State University, October 13-16, 2002. Homogenization-based constitutive models for polycrystalline metals undergoing finite strain. 39th Annual Technical SES Meeting, Symposium on Continuum Plasticity and Damage Mechanics, Pennsylvania State University, October 13-16, 2002. Effective behavior and field fluctuations in nonlinear conductors. (with M. Idiairt) 40th Annual Technical SES Meeting, Symposium on Continuum Electrodynamics, University of Michigan, October 12-15, 2003. Homogenization-based constitutive models for reinforced and porous elastomers. (with O. Lopez-Pamies) 40th Annual Technical SES Meeting, Symposium on Nonlinear Homogenization and Stability, University of Michigan, October 12-15, 2003. Effective behavior and field fluctuations in nonlinear composites. (Martin Idiart) 2003 ASME International Mechanical Engineering Congress, Washington, November 16-21, 2003. Second-order estimates for the large-deformation response of particle-reinforced elastomers. (O. Lopez-Pamies), 2003 ASME International Mechanical Engineering Congress, Washington, November 16-21, 2003. Self-consistent Variational Approach to Anisotropic Nonlinear Conducting Networks. (with Y. P. Pellegrini, F. Willot, and M. Idiart), Minisymposia in Composites and Polycrystals. Fourth SIAM Conference on Mathematical Aspects of Materials Science, Los Angeles, May 23, 2004. Assessing Different Self-Consistent Approximations by Comparison with Full-Field Simulations in Viscoplastic Polycrystals. (with R. Lebensohn and Y. Liu) The XXIst International Congress of Theoretical and Applied Mechanics (IUTAM), Warsaw, Poland, August 15-21, 2004. Macroscopic behavior and field fluctuations in nonlinear composites. (with M. Idiart) 41st Annual Technical SES Meeting, Symposium in honor of S. Torquato, University of Nebraska, Lincoln, October 10-13, 2004. Homogenization-based Constitutive Models for Fiber-reinforced Elastomers and Implications for Loss of Ellipticity. ASME International Mechanical Engineering Congress, Orlando, November 5-11, 2005. Field fluctuations in nonlinear composites. (with M. Idiart) 15th U.S. National Congress of Theoretical and Applied Mechanics, University of Colorado at Bolder, June 25-30, 2006. Effective behavior, microstructure evolution and macroscopic instabilities in reinforced elastomers. (with O. Lopez-Pamies) 15th U.S. National Congress of Theoretical and Applied Mechanics, University of Colorado at Bolder, June 25-30, 2006.

Fiber-reinforced elastomers: Effective behavior, microstructure evolution and macroscopic instabilities. (with O. Lopez-Pamies) Third International Conference on Multiscale Materials Modeling, Freiburg, Germany, September 18-22, 2006.

Structure-property relations for oriented and unoriented thermoplastic elastomers. (with O. Lopez) Third International Conference on Multiscale Materials Modeling, Freiburg, Germany, September 18-22, 2006.

Porous viscoplastic materials with microstructure evolution. (with K. Danas) ASME Applied Mechanics Conference, The University of Texas at Austin, June 3-7, 2007.

Constitutive models for porous elastomers and implications for macro-stability. (with O. Lopez) ASME Applied Mechanics Conference, The University of Texas at Austin, June 3-7, 2007.

Multi-scale modeling of thermoplastic elastomers with lamellar morphology. (with O. Lopez) ASME Applied Mechanics Conference, The University of Texas at Austin, June 3-7, 2007.

Variational estimates for the effective conductivity of 3D nonlinear polycrystals. (with V. Racherla) The 44th Annual Technical Meeting of the Society of Engineering Science, Texas A & M University, October 21-24, 2007.

Homogenization in Finite Elasticity and Application to Fiber-Reinforced Composites. (with O. Lopez-Pamies). The 44th Annual Technical Meeting of the Society of Engineering Science, Texas A & M University, October 21-24, 2007.

Multi-Scale Modeling of Oriented Thermoplastic Elastomers with Lamellar Morphology. (with O. Lopez-Pamies) The 44th Annual Technical Meeting of the Society of Engineering Science, Texas A & M University, October 21-24, 2007.

Field statistics in nonlinear composites. (with M. Idiart) The 44th Annual Technical Meeting of the Society of Engineering Science, Texas A & M University, October 21-24, 2007.

Homogenization-Based Constitutive Models for Porous Viscoplastic Materials with Evolving Microstructure. (with K. Danas)The 44th Annual Technical Meeting of the Society of Engineering Science, Texas A & M University, October 21-24, 2007.

Variational Estimates for the Effective Conductivity of 3D Nonlinear Polycrystals. (with V. Racherla) SIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, May 11-14, 2008.

Thermoplastic elastomers: Multiscale modeling and microstructure evolution. (with O. Lopez-Pamies and V. Racherla), The 45th Annual Technical Meeting of the Society of Engineering Science, University of Illinois at Urbana-Champaign, October 12-15, 2008.

Homogenization-based estimates for elastomers reinforced with short fibers. (with O. Lopez-Pamies), The 45th Annual Technical Meeting of the Society of Engineering Science, University of Illinois at Urbana-Champaign, October 12-15, 2008.

Constitutive models for fiber-reinforced rubbers: Effective response and macroscopic instabilities. (with M. Agoras and O. Lopez-Pamies), The 45th Annual Technical Meeting of the Society of Engineering Science, University of Illinois at Urbana-Champaign, October 12-15, 2008.

Near-Single-Crystal Thermoplastic Elastomers: Homogenization-based constitutive modeling and experiments. (with O. Lopez-Pamies), 2008 ASME International Mechanical Engineering Congress, Boston, November 3-6, 2008.

Failure surfaces for finitely strained porous elastomers under arbitrary in-plane loading. (with O. Lopez-Pamies, J.-C. Michel and N. Triantafyllidis), 2008 ASME International Mechanical Engineering Congress, Boston, November 3-6, 2008.

Multi-scale modeling of unoriented thermoplastic elastomers with lamellar morphology. (with O. Lopez-Pamies and V. Racherla), 2008 ASME International Mechanical Engineering Congress, Boston, November 3-6, 2008.

Microscopic and macroscopic instabilities in particle-reinforced elastomers. (with O. Lopez-Pamies, J.-C. Michel and N. Triantafyllidis), 2008 ASME International Mechanical Engineering Congress, Boston, November 3-6, 2008.

Fiber-reinforced rubbers at finite strain: Constitutive models, microstructure evolution and macroscopic instabilities. (with M. Agoras and O. Lopez-Pamies), 2008 ASME International Mechanical Engineering Congress, Boston, November 3-6, 2008.

A homogenization-based constitutive model for viscoplastic porous media with evolving microstructures. (with K. Danas), 2008 ASME International Mechanical Engineering Congress, Boston, November 3-6, 2008.

Macroscopic instabilities in fiber-reinforced elastomers at finite strain. (with M. Agoras and O. Lopez-Pamies), The 2009 Joint ASCE-ASME-SES Conference on Mechanics and Materials, Virginia Tech, Blacksburg, July 24-27, 2009.

Infinite-contrast periodic composites with strongly nonlinear behavior: effective-medium theory versus fullfield simulations. (with M. Idiart F. Willot, Y.-P. Pellegrini), The 2009 Joint ASCE-ASME-SES Conference on Mechanics and Materials, Virginia Tech, Blacksburg, July 24-27, 2009.

Mechanics of Near-Single-Crystal Thermoplastic Elastomers. (with O. Lopez-Pamies and V. Racherla), The 2009 Joint ASCE-ASME-SES Conference on Mechanics and Materials, Virginia Tech, Blacksburg, July 24-27, 2009.

A homogenization-based constitutive model for viscoplastic porous media with evolving microstructure. (with K. Danas), The 2009 Joint ASCE-ASME-SES Conference on Mechanics and Materials, Virginia Tech, Blacksburg, July 24-27, 2009.

Dilatational plastic behavior of polycrystals with intergranular cavities. (with R. Lebensohn), 10th U.S. National Congress for Computational Mechanics, Columbus, July 16-19, 2009.

Macroscopic instabilities in fiber-reinforced rubbers at finite strain. (with M. Agoras and O. Lopez-Pamies), 2009 ASME International Mechanical Engineering Congress, Lake Buena Vista (FL), November 13-19, 2009.

Microscopic and macroscopic instabilities in particle-reinforced elastomers. (with O. Lopez-Pamies, J.-C. Michel and N. Triantafyllidis) 2009 ASME International Mechanical Engineering Congress, Lake Buena Vista (FL), November 13-19, 2009.

Mechanics of Near-Single-Crystal Thermoplastic Elastomers. (with O. Lopez-Pamies and V. Racherla). 2009 ASME International Mechanical Engineering Congress, Lake Buena Vista (FL), November 13-19, 2009.

Dilatational viscoplasticity of polycrystalline materials with cavities at grain boundaries. (with R. Lebensohn), Materials Science & Technology 2009, Pittsburgh, November 25-29, 2009.

Thermoplastic elastomers: Multiscale modeling, microstructure evolution and macroscopic instabilities. (with O. Lopez-Pamies and V. Racherla), Materials Research Society Fall Meeting, Boston, November 30- December 4, 2009.

Shear Localization Instabilities in Porous Metals. (with K. Danas) In Mini-symposium on Micromechanical Instabilities in Solids, SIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, May 23-26, 2010.

Macroscopic Instabilities in Nematic Elastomers. In Mini-symposium on Instabilities and Micro-structures in Non-linear Elasticity, SIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, May 23-26, 2010.

Localization analysis of porous metals via homogenization models incorporating microstructure evolution. (with K. Danas), The Sixteenth U.S. National Congress of Theoretical and Applied Mechanics, State College, PA, June 27-July 2, 2010.

Homogenization-based constitutive models for magneto-rheological elastomers. (with E. Galipeau), The Sixteenth U.S. National Congress of Theoretical and Applied Mechanics, State College, PA, June 27-July 2, 2010.

Dilute estimates for magneto-rheological elastomers at small strains and rotations. (with M. Hakimi-Siboni), The Sixteenth U.S. National Congress of Theoretical and Applied Mechanics, State College, PA, June 27-July 2, 2010.

Onset of macroscopic instabilities in fiber-reinforced elastomers at finite strain. (with M. Agoras), The Sixteenth U.S. National Congress of Theoretical and Applied Mechanics, State College, PA, June 27-July 2, 2010.

Thermoplastic elastomers: Multiscale modeling, microstructure evolution and macroscopic instabilities. (with O. Lopez-Pamies and V. Racherla), The Sixteenth U.S. National Congress of Theoretical and Applied Mechanics, State College, PA, June 27-July 2, 2010.

A two-scale homogenization model for the macroscopic response and texture evolution in semi-crystalline polymers. (with M. Agoras), 20010 ASME International Mechanical Engineering Congress and Exposition, Vancouver, Canada, November 12-18, 2010.

Localization analysis of porous metals via homogenization models incorporating pore shape evolution. (with K. Danas), 20010 ASME International Mechanical Engineering Congress and Exposition, Vancouver, Canada, November 12-18, 2010.

Homogenization-based constitutive models for magneto-rheological elastomers. (with E. Galipeau), 2010 ASME International Mechanical Engineering Congress and Exposition, Vancouver, Canada, November 12-18, 2010.

Influence of the stress triaxiality and Lode parameter on failure of elasto-plastic porous materials. (with K. Danas), 2011 International Conference on Computational Modeling of Fracture and Failure of Materials and Structures (CFRAC), Barcelona, Spain, June 6-8, 2011.

Macroscopic instabilities in fiber-reinforced elastomers, (with R. Avazmohammadi), Fifth

International Symposium on Defect and Material Mechanics, 27 June - 1 July 2011, Sevilla, Spain

Homogenization-based constitutive models for electro-active polymers. (with M. Hakimi-Siboni), The 48th Annual Technical Conference of the Society of Engineering Science, Northwestern University, October 12-14, 2011. Dynamics of elastic particles in viscous flows. (with T. Gao and H.H. Hu), The 48th Annual Technical Conference of the Society of Engineering Science, Northwestern University, October 12-14, 2011.

Macroscopic behavior, microstructure evolution and instabilities in nematic elastomers (with R. Avazmohammadi), The 48th Annual Technical Conference of the Society of Engineering Science, Northwestern University, October 12-14, 2011.

Homogenization-based constitutive models for electro-active polymers. (with M. Hakimi-Siboni), 2011 ASME International Mechanical Engineering Congress and Exposition, Denver, Colorado, November 11-17, 2011.

Magneto-rheological elastomers: Dilute estimates. (with M. Hakimi-Siboni) 2011 ASME International Mechanical Engineering Congress and Exposition, Denver, Colorado, November 11-17, 2011.

Macroscopic instabilities and soft behavior in fiber-reinforced elastomers at finite strain (with R. Avazmohammadi) 2011 ASME International Mechanical Engineering Congress and Exposition, Denver, Colorado, November 11-17, 2011. Dynamics of elastic particles in a shear flow (Tong Gao and Howard Hu) 64th Annual Meeting of the APS Division of Fluid Mechanics, Baltimore, Maryland, November 20-22, 2011. On the macroscopic response of deformable dielectric composites and applications to electrostriction. (with M. Hakimi-Siboni), The 49th Annual Technical Conference of the Society of Engineering Science, Georgia Tech, October 10-12, 2012. Constitutive Models for Magneto-Elastic Composites at Finite Strains: The Effects of Particle Rotations and Magnetic Torques. (with E. Galipeau), The 49th Annual Technical Conference of the Society of Engineering Science, Georgia Tech, October 10-12, 2012. The Effect of Porosity and its Anisotropic Evolution on the Macroscopic Response and Stability of Metals. (with M. Agoras), 2012 ASME International Mechanical Engineering Congress and Exposition, Houston, Texas, November 9-15, 2012. Elastomeric Solids with Pressurized Cavities: From Defects to Closed-Cell Foams. (with O. Lopez-Pamies) 2012 ASME International Mechanical Engineering Congress and Exposition, Houston, Texas, November 9-15, 2012. Constitutive Models for Magneto-Elastic Composites at Finite Strains: The Effects of Particle Rotations and Magnetic Torques (with E. Galipeau) 2012 ASME International Mechanical Engineering Congress and Exposition, Houston, Texas, November 9-15, 2012.

Macroscopic Response and Instabilities in Nematic Elastomers. In Mini-Symposium on Homogenization and Applications, SIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, June 9-12, 2013.

List of Publications

Refereed Journals P. Ponte Castaeda. Asymptotic analysis of a perfectly-plastic, plane-stress mode II growing crack. Journal of Applied Mechanics 53 (1986): 831-833. P. Ponte Castaeda. Asymptotic fields in steady crack growth with linear strain-hardening. Journal of the Mechanics and Physics of Solids 35 (1987): 227-268. P. Ponte Castaeda. Plastic stress intensity factors in steady crack growth. Journal of Applied Mechanics 54 (1987): 379-387. P. Ponte Castaeda. Asymptotic analysis of a mode I crack propagating steadily in a deformation theory material. Journal of Applied Mechanics 54 (1987): 79-86. P. Ponte Castaeda and J. R. Willis. On the overall properties of nonlinearly viscous composites. Proceedings of the Royal Society of London A 416 (1988): 217-244. P. Ponte Castaeda. The overall constitutive behavior of nonlinearly elastic composites. Proceedings of the Royal Society of London A 422 (1989): 147-171. P. Ponte Castaeda and P. A. Mataga. Stable crack growth along a brittle/ductile interface. Part I Near-tip fields. International Journal of Solids and Structures 27 (1991): 105-133. P. Ponte Castaeda. The effective mechanical properties of nonlinear isotropic composites. Journal of the Mechanics and Physics of Solids 39 (1991): 45-71. K. Bose and P. Ponte Castaeda. Stable crack growth under mixed-mode conditions. Journal of the Mechanics and Physics of Solids 40 (1992): 1053-1105. P. Ponte Castaeda. New variational principles in plasticity and their application to composite materials. Journal of the Mechanics and Physics of Solids 40 (1992): 1757-1788. P. Ponte Castaeda and G. deBotton. On the homogenized yield strength of two-phase composites. Proceedings of the Royal Society of London A 438 (1992): 419-431. P. Ponte Castaeda. A new variational principle and its application to nonlinear heterogeneous systems. SIAM Journal on Applied Mathematics 52 (1992): 1321-1341.

P. Ponte Castaeda. Bounds and estimates for the properties of nonlinear heterogeneous systems. Philosophical Transactions of the Royal Society of London A 340 (1992): 531-567. P. Ponte Castaeda, G. deBotton and G. Li. Effective properties of nonlinear inhomogeneous dielectrics. Physical Review B 46 (1992): 4387-4394. G. deBotton and P. Ponte Castaeda. On the ductility of laminated materials. International Journal of Solids and Structures 29 (1992): 2329-2353. G. deBotton and P. Ponte Castaeda. Elastoplastic constitutive relations for fiber-reinforced solids. International Journal of Solids and Structures 30 (1993): 1865-1890. G. Li, P. Ponte Castaeda and A.S. Douglas. Constitutive models for ductile solids reinforced by rigid spheroidal inclusions. Mechanics of Materials 15 (1993): 279-300. G. Li and P. Ponte Castaeda. The effect of particle shape and stiffness on the constitutive behavior of metal-matrix composites. International Journal of Solids and Structures 30 (1993): 3189-3209. P. Suquet and P. Ponte Castaeda. Small-contrast perturbation expansions for the effective properties of nonlinear composites. Comptes Rendus de l'Acadmie des Sciences, Paris, Srie II 317 (1993): 1515-1522. G. Li and P. Ponte Castaeda. Variational estimates for the elastoplastic response of particle-reinforced metal-matrix composites. Applied Mechanics Reviews 47 (1994): S77-94. P. Ponte Castaeda and M. Zaidman. Constitutive models for porous materials with evolving microstructures. Journal of the Mechanics and Physics of Solids 42 (1994): 1459-1497. N. Aravas, C. Cheng and P. Ponte Castaeda. Steady-state creep of fiber reinforced composites: Constitutive equations and computational issues. International Journal of Solids and Structures 32 (1995): 2219-2244. G. deBotton and P. Ponte Castaeda. Variational estimates for the creep behavior of polycrystals. Proceedings of the Royal Society of London A 448 (1995): 121-142. P. Ponte Castaeda and P. Suquet. The effective behavior of weakly inhomogeneous nonlinear materials. European Journal of Mechanics 14 (1995): 205-236. P. Ponte Castaeda and J. R. Willis. The effect of spatial distribution on the effective behavior of composite materials and cracked media. Journal of the Mechanics and Physics of Solids 43 (1995): 1919-1951. K. Bose and P. Ponte Castaeda. The effect of mode mix on interfacial toughness: a ductile mechanism. ASTM STP 1220 (1995): 106-124. P. Ponte Castaeda. A second-order theory for nonlinear composite materials. Comptes Rendus de l'Acadmie des Sciences, Paris, Srie IIb 322 (1996): 3-10.

P. Ponte Castaeda and M. Zaidman. On the finite deformation of nonlinear composite materials. Part I Instantaneous effective potentials. International Journal of Solids and Structures 33 (1996): 1271-1286. M. Zaidman and P. Ponte Castaeda. On the finite deformation of nonlinear composite materials. Part II Evolution of the microstructure. International Journal of Solids and Structures 33 (1996): 1287-1303. P. Ponte Castaeda. Exact second-order estimates for the effective mechanical properties of nonlinear composites. Journal of the Mechanics and Physics of Solids 44 (1996): 827-862. P. Ponte Castaeda and M. Kailasam. Nonlinear electrical conductivity in heterogeneous media. Proceedings of the Royal Society of London A 453 (1997): 793-816. M. Kailasam, P. Ponte Castaeda and J. R. Willis. The effect of particle size, shape, distribution and their evolution on the constitutive response of nonlinearly viscous composites. I. Theory. Philosophical Transactions of the Royal Society of London A 355 (1997): 1835-1852. M. Kailasam, P. Ponte Castaeda and J. R. Willis. The effect of particle size, shape, distribution and their evolution on the constitutive response of nonlinearly viscous composites. II. Examples. Philosophical Transactions of the Royal Society of London A 355 (1997): 1853-1872. P. Ponte Castaeda. Strongly nonlinear composites: A second-order theory for estimating transport properties. Physics Letters A 224 (1997): 163-168. P. Ponte Castaeda and M. Nebozhyn. Variational estimates of the self-consistent type for some model nonlinear polycrystals. Proceedings of the Royal Society of London A 453 (1997): 2715-2724. P. Ponte Castaeda and P. Suquet. Nonlinear composites. Advances in Applied Mechanics 34 (1998): 171-302. M. Nebozhyn and P. Ponte Castaeda. Exact second-order estimates of the self-consistent type for nonlinear composite materials. Mechanics of Materials 28 (1998): 9-22. M. Kailasam and P. Ponte Castaeda. A general constitutive theory for linear and nonlinear particulate media with evolving microstructure. Journal of the Mechanics and Physics of Solids 46 (1998): 427-465. M. Bornert and P. Ponte Castaeda. Second-order estimates of the self-consistent type for viscoplastic polycrystals. Proceedings of the Royal Society of London A 454 (1998): 3035-3045 P. Ponte Castaeda. Three-point bounds and other estimates for strongly nonlinear composites. Physical Review B 57 (1998): 12077-12083. P. Ponte Castaeda and J. R. Willis. Variational second-order estimates for nonlinear composites. Proceedings of the Royal Society of London A 455(1999): 1799-1812.

K. Bose, P. A. Mataga and P. Ponte Castaeda. Stable crack growth along a brittle/ductile interface. interface - II. Small scale yielding solutions and interfacial toughness predictions. International Journal of Solids and Structures 36 (1999): 1-34. M. Nebozhyn and P. Ponte Castaeda. The second-order procedure: Exact versus approximate results for isotropic, two-phase composites. Journal of the Mechanics and Physics of Solids 47 (1999): 2171-2185. P. Ponte Castaeda and E. Tiberio. Homogenization estimates for hyperelastic composites and particle-reinforced rubbers. Comptes Rendus de l'Acadmie des Sciences, Paris, Srie IIb 327 (1999): 1297-1304. M. Nebozhyn, P. Gilormini and P. Ponte Castaeda. Variational self-consistent estimates for viscoplastic polycrystals with highly anisotropic grains. Comptes Rendus de l'Acadmie des Sciences, Paris, Srie IIb 328 (2000): 11-17. P. Ponte Castaeda and E. Tiberio. A second-order homogenization procedure in finite elasticity and applications to black-filled elastomers. Journal of the Mechanics and Physics of Solids 48 (2000): 1389-1411. M. Kailasam, N. Aravas and P. Ponte Castaeda. Constitutive models for porous metals with developing anisotropy and applications to deformation processing. Computer Modeling in Engineering & Sciences 1 (2000): 105-118. M. Bornert, R. Masson, and P. Ponte Castaeda. Second-order and affine estimates for the behavior of viscous polycrystals. Zeitschrift fur Angewandte Mathematik und Mechanik 80 (2000): S17-S20. M. Nebozhyn, P. Gilormini and P. Ponte Castaeda. Variational self-consistent estimates for cubic viscoplastic polycrystals: The effects of grain anisotropy and shape. Journal of the Mechanics and Physics of Solids 49 (2001): 313-340. P. Gilormini, M. Nebozhyn and P. Ponte Castaeda. Accurate estimates for the creep behavior of hexagonal polycrystals. Acta Materialia 49 (2001): 329-337. M. Bornert, R. Masson, P. Ponte Castaeda and A. Zaoui. Second-order estimates for the effective behavior of viscoplastic polycrystalline materials. Journal of the Mechanics and Physics of Solids 49 (2001): 2737-2764. P. Ponte Castaeda. Second-order theory for nonlinear composite dielectrics incorporating field fluctuations. Physical Review B 64 (2001): 214205. Y. Leroy and P. Ponte Castaeda. Bounds on the self-consistent approximation for nonlinear media and implications for the second-order method. Comptes Rendus de l'Acadmie des Sciences, Paris, Srie IIb 329 (2001): 571-577.

P. Ponte Castaeda. Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I. Theory. Journal of the Mechanics and Physics of Solids 50 (2002): 737-757. P. Ponte Castaeda. Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. II. Applications. Journal of the Mechanics and Physics of Solids 50 (2002): 759-782. J. P. Briggs and P. Ponte Castaeda. Variational estimates for the effective response of SMA-actuated fiber composites. Journal of Applied Mechanics 69 (2002): 470-480. J. Pastor and P. Ponte Castaeda. Yield criteria for porous media in plane strain: second-order estimates versus numerical results. Comptes Rendus Mecanique 330 (2002): 741-747. Y. Liu, P. Gilormini, and P. Ponte Castaeda. Application of the variational self-consistent model to the deformation textures of titanium. International Journal of Forming Processes 5 (2002): 327-336. P. Gilormini, Y. Liu and P. Ponte Castaeda. Variational self-consistent estimates for texture evolution in viscoplastic polycrystalsApplication to titanium. Acta Materialia 51 (2003): 5425-5437. P. Ponte Castaeda. On the homogenized behavior of reinforced and other Bingham composites. Philosophical Transactions of the Royal Society of London A 361 (2003): 947-964. M. Idiart and P. Ponte Castaeda. Field fluctuations and macroscopic properties for nonlinear composites. International Journal of Solids and Structures 40 (2003): 7015-7033. O. Lopez-Pamies and P. Ponte Castaeda. Second-order estimates for the large deformation response of particle-reinforced rubbers. Comptes Rendus Mecanique 331 (2003): 1-8. Y. Liu and P. Ponte Castaeda. Second-order theory for the effective behavior and field fluctuations in viscoplastic polycrystals. Journal of the Mechanics and Physics of Solids 52 (2004): 467-495. O. Lopez-Pamies and P. Ponte Castaeda. Second-order estimates incorporating field fluctuations in finite elasticity. Mathematics and Mechanics of Solids 9 (2004): 243-270. R. Lebensohn, Y. Liu and P. Ponte Castaeda. Macroscopic properties and field fluctuations in model power-law polycrystals: full-field solutions versus second-order estimates. Proceedings of the Royal Society of London A 460 (2004): 1381-1405. Y. Liu and P. Ponte Castaeda. Homogenization estimates for the average behavior and field fluctuations in cubic and hexagonal viscoplastic polycrystals. Journal of the Mechanics and Physics of Solids 52 (2004): 1175-1211. N. Aravas and P. Ponte Castaeda. Numerical methods for porous metals with deformation-induced anisotropy. Computer Methods in Applied Mechanics and Engineering 193 (2004): 3767-3805. R. Lebensohn, Y. Liu and P. Ponte Castaeda. On the accuracy of the self-consistent approximation for polycrystals: comparison with numerical