Continuum Damage Mechanics

Preface.-  List of Symbols.-  PART I    Foundations of Continuum Damage Mechanics.-  1.  Material Damage and Continuum Damage Mechanics.-  1.1  Damage and its Microscopic Mechanisms.-  1.2  Representative Volume Element and Continuum Damage Mechanics.-  2.  Mechanical Representation of Damage and Damage Variables.-  2.1  Mechanical Modeling of Damage.-  2.2  Mechanical Representation of Three-Dimensional Damage State.-  2.3  Effective Stress and Hypothesis of Mechanical Equivalence.-  2.4  Elastic Constitutive Equation and Elastic Modulus Tensor of Damaged Material.-  2.5  Procedure of Continuum Damage Mechanics and its Refinement.-  3.  Thermodynamics of Damaged Material.-  3.1  Thermodynamics of Continuum.-  3.2  Thermodynamic Constitutive Theory of Inelasticity with Internal Variables.-  3.3  Extension of Thermodynamic Constitutive Theory of Inelasticity.-  4.  Inelastic Constitutive Equations and Evolution Equations of Material with Isotropic Damage.-  4.1  One-Dimensional Inelastic Constitutive Equation of Material with Isotropic Damage.-  4.2  Three-Dimensional Inelastic Constitutive Equations of Material with Isotropic Damage.-  4.3  Strain Energy Release Rate and Stress Criterion for Damage Development in Elastic-Plastic Damage.-  4.4  Inelastic Damage Theory based on Hypothesis of Total Energy Equivalence.-  5.   InelasticConstitutive Equation and Damage Evolution Equation of Material with Anisotropic Damage.-  5.1  Elastic-Plastic Anisotropic Damage Theory based on Second-Order Symmetric Damage Tensor.-  5.2  Elastic-Plastic Anisotropic Damage Theory in Stress Space.-  5.3  Fourth-Order Symmetric Damage Tensor and its Application to Elastic-Plastic-Brittle Damage.-  PART II  Application of Continuum Damage Mechanics.-  6.   Elastic-Plastic Damage.-  6.1  Constitutive and Evolution Equations of Elastic-Plastic Damage － Ductile Damage, Brittle Damage and Quasi-Brittle Damage.-  6.2   Ductile Damage and Ductile Fracture.-  6.3  Application to Metal Forming Process.-  6.4  Analysis of Sheet Forming Limit by Anisotropic Damage Theory.-  6.5  Constitutive Equations of Void-Containing Ductile Material.-  6.6  Continuum Damage Mechanics Theory with Plastic Compressibility.-  7.  Fatigue Damage.-  7.1  High Cycle Fatigue .-  7.2  Low Cycle Fatigue.-  7.3  Uncoupled Numerical Analysis of Very Low Cycle Fatigue.-  8.  Creep Damage and Creep-Fatigue Damage.-  8.1  Creep Damage and Phenomenological Theory of Creep Damage.-  8.2  Viscoplastic Damage Theory of Creep Damage.-  8.3  Creep-Fatigue Damage.-  8.4  Effect of Damage Field on Stress Field at a Creep Crack Tip.-  9.  Elastic-Brittle Damage.-  9.1  Damage ofElastic-Brittle Material.-  9.2   Isotropic Damage Theory of Concrete.-  9.3   Anisotropic Brittle Damage Theory by Second-Order Damage Tensor.-  9.4  Anisotropic Brittle Damage Theory with Elastic Modulus Tensor as Damage Variable.-  9.5  Anisotropic Brittle Damage Theory with Compliance Tensor as Damage Variable.-  10.  Continuum Damage Mechanics of Composite Material.-  10.1  Damage of Laminate Composites.-  10.2  Elastic-Brittle Damage of Ceramic Matrix Composites.-  10.3  Local Theory of Metal Matrix Composites.-  11.  Local Approach to Damage and Fracture Analysis.-  11.1  Local Approach to Fracture Based on Continuum Damage Mechanics and Finite Element Method.-  11.2  Mesh-Sensitivity in Time-Independent Deformation.-  11.3  Regularization of Strain and Damage Localization in Time-Independent Materials.-   11.4  Mesh-Sensitivity in Time-Dependent Deformation.-  11.5  Causes of Mesh-Sensitivity in Time-Dependent Deformation.-  APPENDIX Foundations of Tensor Analysis.-  A.1  Vectors and Tensors.-  A.2  Vector Product, Tensor Product and the Components of Tensors.-  A.3  Orthogonal Transformation, Invariants and Eigenvalues of Tensors.-  A.4  Differentiation and Integral of Tensor Fields.-  A.5  Differential Calculus of Tensor Functions.-  A.6  Representation Theorem for Tensor Functions.-  A.7  Matrix Representation of Tensors and Tensor Relations.- Reference Books and Bibliography.-  Subject Index.