Continuum Mechanics modeling of material behavior / Martin H. Sadd

contents
Chapter 1 Introduction
1.1 Materials and the Continuum Hypothesis
1.2 Need for Tensors
1.3 Structure of the Study
1.4 A Little History
etc

Chapter 2 Mathematical Preliminaries
2.1 Index and Direct Notation
2.2 Summation Convention
2.3 Symmetric and Anti symmetric Symbols
2.4 Kronecker Delta and Alternating Symbol
2.5 Determinants
2.6 Vectors and Coordinate Frames
etc

Chapter 3 Kinematics of Motion and Deformation
Measures
3.1 Material Body and Motion
3.2 Lagrangian and Eulerian Descriptions
3.3 Material Time Derivative
3.4 Velocity and Acceleration
3.5 Displacement and Deformation Gradient
Tensors
3.6 Lagrangian and Eulerian Strain Tensors
etc

Chapter 4 Force and Stress
4.1 Body and Surface Forces
4.2 Cauchy Stress Principle: Stress Vector
4.3 Cauchy Stress Tensor
4.4 Principal Stresses and Axes for Cauchy
Stress Tensor
4.5 Spherical, Deviatoric, Octahedral, and
von Mises Stress
etc

Chapter 5 General Conservation or Balance Laws
5.1 General Conservation Principles and the
Reynolds Transport Theorem
5.2 Conservation of Mass
5.3 Conservation of Linear Momentum
5.4 Conservation of Moment of Momentum
5.5 Conservation of Linear Momentum Equations in Cylindrical and Spherical Coordinate
etc

Chapter 6 Constitutive Relations and Formulation of Classical Linear Theories of
Solids and Fluids
6.1 Introduction to Constitutive Equations
6.2 Linear Elastic Solids
6.3 Ideal Non viscous Fluids
6.4 Linear Viscous Fluids
6.5 Linear Viscoelastic Materials
etc

Chapter 7 Constitutive Relations and Formulation of Theories Involving Multiple Constitutive Fields
7.1 Introduction
7.2 Thermoplastic Solids
7.3 Poroelasticity
7.4 Electroelasticity
7.4.1 Constitutive Laws and General Formulation
etc

Chapter 8 General Constitutive Relations and Formulation of Nonlinear Theories of Solids and
Fluids
8.1 Introduction and General Constitutive
Axioms
8.2 General Simple Materials
8.3 Nonlinear Finite Elasticity
8.4 Nonlinear Viscous Fluids
8.5 Nonlinear Integral Viscoelastic
etc

Chapter 9 Constitutive Relations and
Formulation of Theories Incorporating Material
Micro structure
9.1 Introduction to Micro mechanics Material
Modeling
9.2 Micropolar Elasticity
9.3 Elasticity Theory with Voids
9.4 Doublet Mechanics
9.5 Higher Gradient Elasticity Theories
etc

includes reference p.375-376,index p.409-414