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Table of Contents
Preface; Contents; 1 Introduction; 1.1 High-Temperature Inelasticity in Structural Materials; 1.1.1 Uni-axial Stress State; 1.1.2 Multi-axial Effects; 1.2 High-Temperature Inelasticity in Structures; 1.2.1 Examples for Creep in Structures; 1.2.2 Examples for Thermo-mechanical Cycling; 1.3 Microstructural Features and Length Scale Effects; 1.4 Temporal Scale Effects; 1.5 Modeling Approaches and Objectives; 1.5.1 Modeling Approaches; 1.5.2 Objectives, Modeling Requirements, and Steps for Structural Analysis; References; 2 Continuum Mechanics in One Dimension.
2.1 Motion, Derivatives, and Deformation2.2 Conservation of Mass; 2.3 Balance of Momentum; 2.4 Balance of Energy; 2.5 Entropy Inequality; 2.6 Dissipation Inequality, Free Energy, and Stress; References; 3 Elementary Uni-axial Constitutive Models; 3.1 Heat Transfer; 3.2 Thermo-elasticity; 3.3 Non-linear Viscosity, Viscoplasticity, and Rigid Plasticity; 3.4 Elasto-plasticity; 3.5 Hardening, Softening, and Ageing; 3.5.1 Strain Hardening; 3.5.2 Kinematic Hardening; 3.5.3 Phase Mixture Models for Hardening and Softening; 3.5.4 Ageing; 3.6 Damage; 3.6.1 Kachanov-Rabotnov Model.
3.6.2 Continuum Damage MechanicsReferences; 4 Three-Dimensional Continuum Mechanics; 4.1 Motion, Derivatives and Deformation; 4.1.1 Motion and Derivatives; 4.1.2 Deformation Gradient and Strain Tensors; 4.1.3 Velocity Gradient, Deformation Rate, and Spin Tensors; 4.2 Conservation of Mass; 4.3 Balance of Momentum; 4.3.1 Stress Vector; 4.3.2 Integral Form ; 4.3.3 Stress Tensor and Cauchy Formula; 4.3.4 Local Forms ; 4.4 Balance of Angular Momentum; 4.5 Balance of Energy; 4.6 Entropy and Dissipation Inequalities; References; 5 Constitutive Models; 5.1 Heat Transfer.
5.2 Material and Physical Symmetries5.3 Thermo-elasticity; 5.3.1 Preliminary Remarks; 5.3.2 Isotropic Materials; 5.3.3 Anisotropic Materials; 5.3.4 Linear Elasticity; 5.4 Non-linear Viscosity, Viscoplasticity, and Rigid Plasticity; 5.4.1 Preliminary Remarks; 5.4.2 Isotropic Materials; 5.4.3 Initially Anisotropic Materials; 5.4.4 Functions of Stress and Temperature; 5.5 Elasto-plasticity; 5.5.1 Multiplicative Decomposition of Deformation Gradient; 5.5.2 Small Strains; 5.6 Hardening and Softening Rules; 5.6.1 Time and Strain Hardening; 5.6.2 Kinematic Hardening.
5.6.3 Phase Mixture Models for Hardening and Softening5.7 Damage Processes and Damage Mechanics; 5.7.1 Scalar-Valued Damage Variables; 5.7.2 Damage-Induced Anisotropy; References; 6 Examples of Constitutive Equations for Various Materials; 6.1 Basic Approaches of Identification; 6.2 Isotropic Materials; 6.2.1 Type 316 Steel; 6.2.2 Steel 13CrMo4-5; 6.2.3 Steel X20CrMoV12-1; 6.2.4 Aluminium Alloy BS 1472; 6.3 Initially Anisotropic Materials; 6.3.1 Forged Al-Cu-Mg-Si Alloy; 6.3.2 Multi-pass Weld Metal; References; Appendix A Basic Operations of Tensor Algebra.
2.1 Motion, Derivatives, and Deformation2.2 Conservation of Mass; 2.3 Balance of Momentum; 2.4 Balance of Energy; 2.5 Entropy Inequality; 2.6 Dissipation Inequality, Free Energy, and Stress; References; 3 Elementary Uni-axial Constitutive Models; 3.1 Heat Transfer; 3.2 Thermo-elasticity; 3.3 Non-linear Viscosity, Viscoplasticity, and Rigid Plasticity; 3.4 Elasto-plasticity; 3.5 Hardening, Softening, and Ageing; 3.5.1 Strain Hardening; 3.5.2 Kinematic Hardening; 3.5.3 Phase Mixture Models for Hardening and Softening; 3.5.4 Ageing; 3.6 Damage; 3.6.1 Kachanov-Rabotnov Model.
3.6.2 Continuum Damage MechanicsReferences; 4 Three-Dimensional Continuum Mechanics; 4.1 Motion, Derivatives and Deformation; 4.1.1 Motion and Derivatives; 4.1.2 Deformation Gradient and Strain Tensors; 4.1.3 Velocity Gradient, Deformation Rate, and Spin Tensors; 4.2 Conservation of Mass; 4.3 Balance of Momentum; 4.3.1 Stress Vector; 4.3.2 Integral Form ; 4.3.3 Stress Tensor and Cauchy Formula; 4.3.4 Local Forms ; 4.4 Balance of Angular Momentum; 4.5 Balance of Energy; 4.6 Entropy and Dissipation Inequalities; References; 5 Constitutive Models; 5.1 Heat Transfer.
5.2 Material and Physical Symmetries5.3 Thermo-elasticity; 5.3.1 Preliminary Remarks; 5.3.2 Isotropic Materials; 5.3.3 Anisotropic Materials; 5.3.4 Linear Elasticity; 5.4 Non-linear Viscosity, Viscoplasticity, and Rigid Plasticity; 5.4.1 Preliminary Remarks; 5.4.2 Isotropic Materials; 5.4.3 Initially Anisotropic Materials; 5.4.4 Functions of Stress and Temperature; 5.5 Elasto-plasticity; 5.5.1 Multiplicative Decomposition of Deformation Gradient; 5.5.2 Small Strains; 5.6 Hardening and Softening Rules; 5.6.1 Time and Strain Hardening; 5.6.2 Kinematic Hardening.
5.6.3 Phase Mixture Models for Hardening and Softening5.7 Damage Processes and Damage Mechanics; 5.7.1 Scalar-Valued Damage Variables; 5.7.2 Damage-Induced Anisotropy; References; 6 Examples of Constitutive Equations for Various Materials; 6.1 Basic Approaches of Identification; 6.2 Isotropic Materials; 6.2.1 Type 316 Steel; 6.2.2 Steel 13CrMo4-5; 6.2.3 Steel X20CrMoV12-1; 6.2.4 Aluminium Alloy BS 1472; 6.3 Initially Anisotropic Materials; 6.3.1 Forged Al-Cu-Mg-Si Alloy; 6.3.2 Multi-pass Weld Metal; References; Appendix A Basic Operations of Tensor Algebra.