Fundamentals of continuum mechanics : with applications to mechanical, thermomechanical, and smart materials

Fundamentals of Continuum Mechanics provides a clear and rigorous presentation of continuum mechanics for engineers, physicists, applied mathematicians, and materials scientists. This book emphasizes the role of thermodynamics in constitutive modeling, with detailed application to nonlinear elastic solids, viscous fluids, and modern smart materials. While emphasizing advanced material modeling, special attention is also devoted to developing novel theories for incompressible and thermally expanding materials. A wealth of carefully chosen examples and exercises illuminate the subject matter and facilitate self-study. Uses direct notation for a clear and straightforward presentation of the mathematics, leading to a better understanding of the underlying physics Covers high-interest research areas such as small- and large-deformation continuum electrodynamics, with application to smart materials used in intelligent systems and structures Offers a unique approach to modeling incompressibility and thermal expansion, based on the authors’ own research Content: Front Matter, Pages i-ii Copyright, Page iv Dedication, Page v Preface, Pages xiii-xv Chapter 1 - What Is a Continuum?, Pages 3-4 Chapter 2 - Our Mathematical Playground, Pages 5-72 Chapter 3 - Kinematics: Motion and Deformation, Pages 75-114 Chapter 4 - The Fundamental Laws of Thermomechanics, Pages 115-154 Chapter 5 - Constitutive Modeling in Mechanics and Thermomechanics, Pages 157-180 Chapter 6 - Nonlinear Elasticity, Pages 181-195 Chapter 7 - Fluid Mechanics, Pages 197-214 Chapter 8 - Incompressibility and Thermal Expansion, Pages 215-246 Chapter 9 - Modeling of Thermo-Electro-Magneto-Mechanical Behavior, with Application to Smart Materials, Pages 249-303 Appendix A - Different Notions of Invariance, Page 305 Appendix B - The Physical Basis of Constitutive Assumptions, Pages 307-308 Appendix C - Isotropic Tensors, Pages 309-310 Appendix D - A Family of Thermomechanical Processes, Pages 311-312 Appendix E - Energy Formulations and Stability Conditions for Newtonian Fluids, Pages 313-318 Appendix F - Additional Energy Formulations for Thermo-Electro-Magneto-Mechanical Materials, Pages 319-320 Bibliography, Pages 321-324 Index, Pages 325-330 "Fundamentals of Continuum Mechanics provides a clear and rigorous presentation of continuum mechanics for engineers, physicists, applied mathematicians, and materials scientists. This book emphasizes the role of thermodynamics in constitutive modeling, with detailed application to nonlinear elastic solids, viscous fluids, and modern smart materials. While emphasizing advanced material modeling, special attention is also devoted to developing novel theories for incompressible and thermally expanding materials. A wealth of carefully chosen examples and exercises illuminate the subject matter and facilitate self-study"--Page 4 of cover __Fundamentals of Continuum Mechanics__* Uses direct notation for a clear and straightforward presentation of the mathematics, leading to a better understanding of the underlying physics * Covers high-interest research areas such as small- and large-deformation continuum electrodynamics, with application to smart materials used in intelligent systems and structures * Offers a unique approach to modeling incompressibility and thermal expansion, based on the authors’ own research