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Continuum Damage Mechanics

Continuum Damage Mechanics


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About the Book

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. Inelastic Constitutive 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 of Elastic-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 Represen


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Product Details
  • ISBN-13: 9789400799608
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Height: 234 mm
  • No of Pages: 402
  • Series Title: Solid Mechanics and Its Applications
  • Sub Title: A Continuum Mechanics Approach to the Analysis of Damage and Fracture
  • Width: 156 mm
  • ISBN-10: 9400799608
  • Publisher Date: 16 Apr 2014
  • Binding: Paperback
  • Language: English
  • Returnable: Y
  • Spine Width: 22 mm
  • Weight: 657 gr


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