Continuum Damage Mechanics A Continuum Mechanics Approach to the Analysis of Damage and Fracture /

• Κύριος συγγραφέας: Murakami, Sumio (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Dordrecht : Springer Netherlands : Imprint: Springer, 2012.
• Σειρά: Solid Mechanics and Its Applications, 185
• Θέματα: Engineering.; Mechanics.; Continuum mechanics.; Materials science.; Continuum Mechanics and Mechanics of Materials.; Characterization and Evaluation of Materials.

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Πίνακας περιεχομένων:

• 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 Representation of Tensors and Tensor Relations
•  Reference Books and Bibliography
•  Subject Index.