Ó¦ÓùÌÌåÁ¦Ñ§(Applied mechanics of solids)

Preface£¬ xxiii
Author£¬ xxv
CHAPTER 1 Overview of Solid Mechanics
1£®1 DEFINING A PROBLEM IN SOLID MECHANICS
1£®1£®1 Deciding What to Calculate
1£®1£®2 Defining the Geometry of the Solid
1£®1£®3 Defining Loading
1£®1£®4 Deciding What Physics to Include in the Model
1£®1£®5 Defining Material Behavior
1£®1£®6 A Representative Initial Value Problem in Solid Mechanics
1£®1£®7 Choosing a Method of Analysis

CHAPTER 2 Governin~ Equations
2£®1 MATHEMATICAL DESCRIPTION OF SHAPE CHANGES IN SOLIDS
2£®1£®1 Displacement and Velocity Fields
2£®1£®2 Displacement Gradient and Deformation Gradient Tensors
2£®1£®3 Deformation Gradient Resulting from Two Successive Deformations
2£®1£®4 The Jacobian of the Deformation Gradient
2£®1£®5 Lagrange Strain Tensor
2£®1£®6 Eulerian Strain Tensor
2£®1£®7 Infinitesimal Strain Tensor
2£®1£®8 Engineering Shear Strains
2£®1£®9 Decomposition of Infinitesimal Strain into Volumetric and Deviatoric Parts
2£®1£®10 Infinitesimal Rotation Tensor
2£®1£®11 Principal Values and Directions of the Infinitesimal Strain Tensor
2£®1£®12 Cauchy-Green Deformation Tensors
2£®1£®13 Rotation Tensor and Left and Right Stretch Tensors
2£®1£®14 Principal Stretches
2£®1£®15 Generalized Strain Measures
2£®1£®16 The Velocity Gradient
2£®1£®17 Stretch Rate and Spin Tensors
2£®1£®18 Infinitesimal Strain Rate and Rotation Rate
2£®1£®19 Other Deformation Rate Measures
2£®1£®20 Strain Equations of Compatibility for Infinitesimal Strains
2£®2 MATHEMATICAL DESCRIPTION OF INTERNAL FORCES IN SOLIDS
2£®2£®1 Surface Traction and Internal Body Force
2£®2£®2 Traction Acting on Planes within a Solid
2£®2£®3 Cauchy £¨True£© Stress Tensor
2£®2£®4 Other Stress Measures£º Kirchhoff£¬ Nominal£¬ and Material Stress Tensors
2£®2£®5 Stress Measures for Infinitesimal Deformations
2£®2£®6 Principal Stresses and Directions
2£®2£®7 Hydrostatic£¬ Deviatoric£¬ and yon Mises Effective Stress
2£®2£®8 Stresses near an External Surface or Edge£º Boundary Conditions on Stresses
2£®3 EQUATIONS OF MOTION AND EQUILIBRIUM FOR DEFORMABLE SOLIDS
2£®3£®1 Linear Momentum Balance in Terms of Cauchy Stress
2£®3£®2 Angular Momentum Balance in Terms of Cauchy Stress
2£®3£®3 Equations of Motion in Terms of Other Stress Measures
2£®4 WORK DONE BY STRESSES£º PRINCIPLE OF VIRTUAL WORK
2£®4£®1 Work Done by Cauchy Stresses
2£®4£®2 Rate of Mechanical Work in Terms of Other Stress Measures
2£®4£®3 Rate of Mechanical Work for Infinitesimal Deformations
2£®4£®4 The Principle of Virtual Work
2£®4£®5 The Virtual Work Equation in Terms of Other Stress Measures
2£®4£®6 The Virtual Work Equation for Infinitesimal Deformations

CHAPTER 3 Constitutive Models£º Relations between Stress and Strain
3£®1 GENERAL REQUIREMENTS FOR CONSTITUTIVE EQUATIONS
3£®1£®1 Thermodynamic Restrictions
3£®1£®2 Objectivity
3£®1£®3 Drucker Stability
3£®2 LINEAR ELASTIC MATERIAL BEHAVIOR
3£®2£®1 Isotropic£¬ Linear Elastic Material Behavior
3£®2£®2 Stress-Strain Relations for Isotropic£¬ Linear Elastic Materials£º Young's Modulus£¬ Poisson's Ratio£¬ and the Thermal Expansion Coefficient
3£®2£®3 Reduced Stress-Strain Equations for Plane Deformation of Isotropic Solids
3£®2£®4 Representative Values for Density and Elastic Constants of Isotropic Solids
3£®2£®5 Other Elastic Constants£º Bulk£¬ Shear£¬ and Lame Modulus
3£®2£®6 Physical Interpretation of Elastic Constants for Isotropic Solids
3£®2£®7 Strain Energy Density for Isotropic Solids
3£®2£®8 Stress-Strain Relation for a General Anisotropic Linear Elastic Material£º Elastic Stiffness and Compliance Tensors
3£®2£®9 Physical Interpretation of the Anisotropic Elastic Constants
3£®2£®10 Strain Energy Density for Anisotropic£¬ Linear Elastic Solids
3£®2£®11 Basis Change Formulas for Anisotropic Elastic Constants
3£®2£®12 The Effect of Material Symmetry on Stress-Strain Relations for Anisotropic Materials
3£®2£®13 Stress-Strain Relations for Linear Elastic Orthotropic Materials
3£®2£®14 Stress-Strain Relations for Linear Elastic Transversely Isotropic Material
3£®2£®15 Representative Values for Elastic Constants of Transversely
Isotropic Hexagonal Close-Packed Crystals
3£®2£®16 Linear Elastic Stress-Strain Relations for Cubic Materials
3£®2£®17 Representative Values for Elastic Properties of Cubic Crystals and Compounds
3£®3 HYPOELASTICITY£º ELASTIC MATERIALS WITH A NONLINEAR STRESS-STRAIN RELATION UNDER SMALL DEFORMATION
3£®4 GENERALIZED HOOKE'S LAW£º ELASTIC MATERIALS SUBJECTED TO SMALL STRETCHES BUT LARGE ROTATIONS
3£®5 HYPERELASTICITY£º TIME-INDEPENDENT BEHAVIOR OF RUBBERS
AND FOAMS SUBJECTED TO LARGE STRAINS
3£®5£®1 Deformation Measures Used in Finite Elasticity
3£®5£®2 Stress Measures Used in Finite Elasticity
3£®5£®3 Calculating Stress-Strain Relations from the Strain Energy Density
3£®5£®4 A Note on Perfectly Incompressible Materials
¡­¡­
CHAPTER 4 Solutions to Simple Boundary and Initial Value Problems
CHAPTER 5 Solutions for Linear Elastic Solids
CHAPTER 6 Solutions for Plastic Solids
CHAPTER 7 Finite Element Analysis£º An Introduction
CHAPTER 8 Finite Element Analysis£º Theory and Implementation
CHAPTER 9 Modeling Material Failure
CHAPTER 10 Solutions for Rods£¬ Beams£¬ Membranes£¬ Plates£¬ and Shells