The Mechanics and Thermodynamics of Continua

The Mechanics and Thermodynamics of Continua presents a unified treatment of continuum mechanics and thermodynamics that emphasises 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 behaviour. 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, in addition, crystal plasticity and gradient plasticity.

Part I. Vector and Tensor Algebra; Part II. Vector and Tensor Analysis; Part III. Kinematics; Part IV. Basic Mechanical Principles; Part V. Basic Thermodynamical Principles; Part VI. Mechanical and Thermodynamical Laws at a Shock Wave; Part VII. Basic Requirements for Developing Physically Meaningful Constitutive Theories; Part VIII. Rigid Heat Conductors; Part IX. The Mechanical Theory of Compressible and Incompressible Fluids; Part X. Mechanical Theory of Elastic Solids; Part XI. Thermoelasticity; Part XII. Species Diffusion Coupled to Elasticity; Part XIII. Theory of Isotropic Plastic Solids Undergoing Small Deformations; Part XIV. Small Deformation, Isotropic Plasticity Based on the Principle of Virtual Power; Part XV. Small Deformation, Isotropic Plasticity Based on the Principle of Virtual Power; Part XVI. Large-Deformation Theory of Isotropic Plastic Solids; Part XVII. Theory of Single Crystals Undergoing Small Deformations; Part XVIII. Single Crystals Undergoing Large Deformations.

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).
Elliot Fried is a Professor of Mechanical Engineering at McGill University.
Lallit Anand is the Esther and Harold E. Edgerton Professor of Mechanical Engineering at MIT and a Fellow in the ASME. Professor Anand has had more than thirty years of experience working in industry, academia, and government. He began his career in the Mechanical Sciences Division of the Fundamental Research Laboratory (Bain Laboratory) of U.S. Steel Corporation, and he served successively as Research Scientist and Senior Research Scientist until he joined the MIT faculty. Among his many contributions and honors are his service as the Program Director for the Mechanics and Materials Program, as well as the Manufacturing Processes Program, in the Engineering Directorate of the National Science Found