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Table of Contents
Preface; Contents; Nomenclature; 1 Introduction; Abstract; References; 2 Concepts of Fracture Mechanics; Abstract; 2.1 The Energy Approach of Griffith; 2.2 The Stress-Intensity Approach of Irwin; 2.3 Determination of SIFs; 2.3.1 Cracked Cylinders; 2.3.2 Semi-elliptical Surface Crack; References; 3 Phenomenological Theory of Time- and Rate-Independent Plasticity; Abstract; 3.1 Uniaxial Tensile Test; 3.2 Generalisation to Triaxial Stress States; 3.3 Isotropic Yielding; 3.3.1 The Yield Condition of Tresca; 3.3.2 The Theory of Von Mises, Prandtl and Reu€; 3.3.3 Example: Pressure Vessel.
3.4 Deformation Theory of PlasticityReferences; 4 Extension of LEFM for Small-Scale Yielding; Abstract; 4.1 The Equivalent Elastic Crack (Mode I); 4.2 Crack Tip Opening Displacement (CTOD); 4.3 Shape of the Plastic Zone; 4.4 The Models of Barenblatt and Dugdale; References; 5 Elastic-Plastic Fracture Mechanics; Abstract; 5.1 The J-Integral; 5.1.1 Definition and Path Independence; 5.1.2 J as Energy Release Rate; 5.1.3 The Three-Dimensional J; 5.1.4 Extensions for Multi-phase Materials, Body Forces, Surface Tractions and Thermal Loading; 5.1.5 Resistance Curves Against Ductile Crack Extension.
5.1.6 Application and Validity of Resistance Curves5.2 Asymptotic Solution of Stress and Strain Fields in Mode I; 5.2.1 The Boundary Value Problem; 5.2.2 Singular Crack Tip Fields; 5.2.3 J-Integral as Crack-Tip Intensity; 5.2.4 Crack Tip Opening Displacement; 5.2.5 Validity of the HRR Solution; 5.3 Extended and Alternative Concepts; 5.3.1 Dissipation Rate; 5.3.2 J-Integral for Cyclic Plasticity; 5.3.3 CTOD and CTOA; 5.3.4 Assessment Procedures; References; 6 Solutions for Fully Plastic Conditions; Abstract; 6.1 Plastic Collapse and Limit Load Theorems; 6.1.1 Drucker's Postulates of Stability.
6.1.2 Plastic Limit State (Collapse): Definitions and Theorems6.2 Example of a Statically Admissible Stress Field; 6.3 Slip Line Theory; 6.3.1 Basic Equations for Plane-Strain Conditions; 6.3.2 Cauchy's Initial Value Problem; 6.3.3 The Characteristics of Plane Strain Flow; 6.3.4 Generation of Slip-Line Fields-Boundary Conditions; 6.3.5 Examples of Notched Structures; References; 7 Determination of Fracture Parameters; Abstract; 7.1 Numerical Methods: Crack Driving Forces; 7.1.1 FE Meshes for Structures with Cracks; 7.1.2 Energy Release Rate and J-Integral; 7.1.3 Stress Intensity Factors.
7.1.4 Path (Domain) Dependence of J in Incremental Plasticity7.2 Test Methods and Standards: Material Resistance; 7.2.1 Standard Terminology; 7.2.2 Linear-Elastic Plane-Strain Fracture Toughness; 7.2.3 Measurement of Fracture Toughness in EPFM; 7.2.4 Crack Extension in Thin Structures; References; 8 Damage and Fracture; Abstract; 8.1 Phenomena and Models; 8.2 Local and Micromechanical Approaches; 8.2.1 Brittle Fracture and Cleavage; 8.2.2 Ductile Damage und Fracture; 8.2.3 The Concept of Representative Volume Elements; 8.3 Porous Metal Plasticity; 8.3.1 Gurson Model; 8.3.2 Rousselier Model; 8.3.3 Length Scales and Local Instability.
3.4 Deformation Theory of PlasticityReferences; 4 Extension of LEFM for Small-Scale Yielding; Abstract; 4.1 The Equivalent Elastic Crack (Mode I); 4.2 Crack Tip Opening Displacement (CTOD); 4.3 Shape of the Plastic Zone; 4.4 The Models of Barenblatt and Dugdale; References; 5 Elastic-Plastic Fracture Mechanics; Abstract; 5.1 The J-Integral; 5.1.1 Definition and Path Independence; 5.1.2 J as Energy Release Rate; 5.1.3 The Three-Dimensional J; 5.1.4 Extensions for Multi-phase Materials, Body Forces, Surface Tractions and Thermal Loading; 5.1.5 Resistance Curves Against Ductile Crack Extension.
5.1.6 Application and Validity of Resistance Curves5.2 Asymptotic Solution of Stress and Strain Fields in Mode I; 5.2.1 The Boundary Value Problem; 5.2.2 Singular Crack Tip Fields; 5.2.3 J-Integral as Crack-Tip Intensity; 5.2.4 Crack Tip Opening Displacement; 5.2.5 Validity of the HRR Solution; 5.3 Extended and Alternative Concepts; 5.3.1 Dissipation Rate; 5.3.2 J-Integral for Cyclic Plasticity; 5.3.3 CTOD and CTOA; 5.3.4 Assessment Procedures; References; 6 Solutions for Fully Plastic Conditions; Abstract; 6.1 Plastic Collapse and Limit Load Theorems; 6.1.1 Drucker's Postulates of Stability.
6.1.2 Plastic Limit State (Collapse): Definitions and Theorems6.2 Example of a Statically Admissible Stress Field; 6.3 Slip Line Theory; 6.3.1 Basic Equations for Plane-Strain Conditions; 6.3.2 Cauchy's Initial Value Problem; 6.3.3 The Characteristics of Plane Strain Flow; 6.3.4 Generation of Slip-Line Fields-Boundary Conditions; 6.3.5 Examples of Notched Structures; References; 7 Determination of Fracture Parameters; Abstract; 7.1 Numerical Methods: Crack Driving Forces; 7.1.1 FE Meshes for Structures with Cracks; 7.1.2 Energy Release Rate and J-Integral; 7.1.3 Stress Intensity Factors.
7.1.4 Path (Domain) Dependence of J in Incremental Plasticity7.2 Test Methods and Standards: Material Resistance; 7.2.1 Standard Terminology; 7.2.2 Linear-Elastic Plane-Strain Fracture Toughness; 7.2.3 Measurement of Fracture Toughness in EPFM; 7.2.4 Crack Extension in Thin Structures; References; 8 Damage and Fracture; Abstract; 8.1 Phenomena and Models; 8.2 Local and Micromechanical Approaches; 8.2.1 Brittle Fracture and Cleavage; 8.2.2 Ductile Damage und Fracture; 8.2.3 The Concept of Representative Volume Elements; 8.3 Porous Metal Plasticity; 8.3.1 Gurson Model; 8.3.2 Rousselier Model; 8.3.3 Length Scales and Local Instability.