The Mechanics And Thermodynamics Of Continua

This page intentionally left blank THE MECHANICS AND THERMODYNAMICS OF CONTINUA The Mechanics and Thermodynamics of Continua presents a unified treatment of continuum mechanics and thermodynamics that emphasizes the universal status of the basic balances and the entropy imbalance. These laws are viewed as fundamental building blocks on which to frame theories of material behavior. As a valuable reference source, this book presents a detailed and complete treatment of continuum mechanics and thermodynamics for graduates and advanced undergraduates in engineering, physics, and mathematics. The chapters on plasticity discuss the standard isotropic theories and crystal plasticity and gradient plasticity. Morton E. Gurtin is the Alumni Professor Emeritus of Mathematics at Carnegie Mellon University. His research concerns nonlinear continuum mechanics and thermodynamics, with recent emphasis on applications to problems in materials science. Among his many awards are the 2004 Timoshenko Medal of the American Society of Mechanical Engineers (ASME) “in recognition of distinguished contributions to the field of applied mechanics”; the Agostinelli Prize (an annual prize in pure and applied mathematics and mathematical physics); Accademia Nazionale dei Lincei, Italy; Dottore Honoris Causa, Civil Engineering, University of Rome; Distinguished Graduate School Alumnus Award, Brown University; and the Richard Moore Education Award, Carnegie Mellon University. In addition to his numerous archival research publications, Professor Gurtin is the author of Configurational Forces as Basic Concepts in Continuum Physics, An Introduction to Continuum Mechanics, Thermomechanics of Evolving Phase Boundaries in the Plane, Topics in Finite Elasticity, The Linear Theory of Elasticity, Handbuch der Physik, Volume VIa/2, and Wave Propagation in Dissipative Materials (with B. D. Coleman, I. Herrera, and C. Truesdell). Eliot Fried is a Professor of Mechanical Engineering at McGill University, where he holds the Tier I Canada Research Chair in Interfacial and Defect Mechanics. His research focuses on the mechanics and thermodynamics of novel materials, including liquid crystals, surfactant solutions, hydrogels, granular materials, biovesicles, and nanocrystalline alloys. He is the recipient of an NSF Mathematical Sciences Postdoctoral Fellowship, a Japan Society for the Promotion of Science Postdoctoral Research Fellowship, and an NSF Research Initiation Award. Prior to joining McGill, he held tenured faculty positions in the Department of Theoretical and Applied Mechanics at the University of Illinois at Urbana-Champaign and in the Department of Mechanical, Aerospace and Structural Engineering at Washington University in St. Louis. At Illinois, he was a Fellow of the Center of Advanced Study and was awarded a Critical Research Initiative Grant. His current research is funded by the National Science Foundation, the Department of Energy, the National Institute of Health, the Natural Sciences and Engineering Research Council of Canada, the Canada Research Chairs Program, and the Canada Foundation for Innovation. Lallit Anand is the Rohsenow Professor of Mechanical Engineering at MIT. He has had more than twenty