Book description
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 selfstudy. Uses direct notation for a clear and straightforward presentation of the mathematics, leading to a better understanding of the underlying physics
 Covers highinterest research areas such as small and largedeformation 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
Table of contents
 Cover image
 Title page
 Table of Contents
 Copyright
 Dedication
 Preface
 PART I: THE BEGINNING

PART II: KINEMATICS, KINETICS, AND THE FUNDAMENTAL LAWS OF MECHANICS AND THERMODYNAMICS

Chapter 3: Kinematics: Motion and Deformation
 Abstract
 3.1 Body, configuration, motion, displacement
 3.2 Material derivative, velocity, acceleration
 Exercises
 3.3 Deformation and strain
 Exercises
 Exercises
 Exercises
 3.4 Velocity gradient, rate of deformation tensor, vorticity tensor
 Exercises
 3.5 Material point, material line, material surface, material volume
 3.6 Volume elements and surface elements in volume and surface integrations

Chapter 4: The Fundamental Laws of Thermomechanics
 Abstract
 4.1 Mass
 4.2 Forces and moments, linear and angular momentum
 4.3 Equations of motion (mechanical conservation laws)
 4.4 The first law of thermodynamics (conservation of energy)
 4.5 The transport and localization theorems
 Exercises
 4.6 Cauchy stress tensor, heat flux vector
 4.7 The energy theorem and stress power
 4.8 Local forms of the conservation laws
 Exercises
 4.9 Lagrangian forms of the integral conservation laws
 4.10 Piolakirchhoff stress tensors, referential heat flux vector
 Exercises
 4.11 The lagrangian form of the energy theorem
 4.12 Local conservation laws in lagrangian form
 Exercises
 4.13 The second law of thermodynamics
 Exercises

Chapter 3: Kinematics: Motion and Deformation
 PART III: CONSTITUTIVE MODELING

PART IV: BEYOND MECHANICS AND THERMOMECHANICS

Chapter 9: Modeling of ThermoElectroMagnetoMechanical Behavior, with Application to Smart Materials
 Abstract
 9.1 The fundamental laws of continuum electrodynamics: integral forms
 Exercises
 9.2 The fundamental laws of continuum electrodynamics: pointwise forms
 Exercises
 Exercises
 9.3 Modeling of the effective electromagnetic fields
 Exercise
 9.4 Modeling of the electromagnetically induced coupling terms
 Exercises
 9.5 Thermoelectromagnetomechanical process
 9.6 Constitutive model development for thermoelectromagnetoelastic materials: largedeformation theory
 Exercise
 Exercise
 Exercises
 9.7 Constitutive model development for thermoelectromagnetoelastic materials: smalldeformation theory
 9.8 Linear, reversible, thermoelectromagnetomechanical processes
 9.9 Specialization of the smalldeformation thermoelectromagnetoelastic framework to piezoelectric materials
 Exercise

Chapter 9: Modeling of ThermoElectroMagnetoMechanical Behavior, with Application to Smart Materials
 Appendix A: Different Notions of Invariance
 Appendix B: The Physical Basis of Constitutive Assumptions
 Appendix C: Isotropic Tensors
 Appendix D: A Family of Thermomechanical Processes
 Appendix E: Energy Formulations and Stability Conditions for Newtonian Fluids
 Appendix F: Additional Energy Formulations for ThermoElectroMagnetoMechanical Materials
 Bibliography
 Index
Product information
 Title: Fundamentals of Continuum Mechanics
 Author(s):
 Release date: December 2014
 Publisher(s): Academic Press
 ISBN: 9780123948342
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