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, 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.
"The monograph presents a detailed and complete treatment of continuum mechanics and thermodynamics" - Ion Nistor, Mathematical Reviews