Plasticity and fracture

목차 (Table of Contents)

• CONTENTS
• 1 Introduction = 1
• References = 2
• 2 Concepts of Fracture Mechanics = 5
• 2.1 The Energy Approach of Griffith = 7
• 2.2 The Stress-Intensity Approach of Irwin = 9
• 2.3 Determination of SIFs = 13
• 2.3.1 Cracked Cylinders = 15
• 2.3.2 Semi-elliptical Surface Crack = 17
• References = 20
• 3 Phenomenological Theory of Time- and Rate-Independent Plasticity = 23
• 3.1 Uniaxial Tensile Test = 24
• 3.2 Generalisation to Triaxial Stress States = 25
• 3.3 Isotropic Yielding = 29
• 3.3.1 The Yield Condition of Tresca = 30
• 3.3.2 The Theory of Von Mises, Prandtl and Reuß = 32
• 3.3.3 Example : Pressure Vessel = 33
• 3.4 Deformation Theory of Plasticity = 35
• References = 37
• 4 Extension of LEFM for Small-Scale Yielding = 39
• 4.1 The Equivalent Elastic Crack (Mode Ⅰ) = 39
• 4.2 Crack Tip Opening Displacement (CTOD) = 42
• 4.3 Shape of the Plastic Zone = 42
• 4.4 The Models of Barenblatt and Dugdale = 45
• References = 48
• 5 Elastic-Plastic Fracture Mechanics = 49
• 5.1 The J-Integral = 49
• 5.1.1 Definition and Path Independence = 49
• 5.1.2 J as Energy Release Rate = 54
• 5.1.3 The Three-Dimensional J = 57
• 5.1.4 Extensions for Multi-phase Materials, Body Forces, Surface Tractions and Thermal Loading = 59
• 5.1.5 Resistance Curves Against Ductile Crack Extension = 61
• 5.1.6 Application and Validity of Resistance Curves = 63
• 5.2 Asymptotic Solution of Stress and Strain Fields in Mode Ⅰ = 65
• 5.2.1 The Boundary Value Problem = 65
• 5.2.2 Singular Crack Tip Fields = 66
• 5.2.3 J-Integral as Crack-Tip Intensity = 69
• 5.2.4 Crack Tip Opening Displacement = 70
• 5.2.5 Validity of the HRR Solution = 70
• 5.3 Extended and Alternative Concepts = 72
• 5.3.1 Dissipation Rate = 72
• 5.3.2 J-Integral for Cyclic Plasticity = 74
• 5.3.3 CTOD and CTOA = 76
• 5.3.4 Assessment Procedures = 77
• References = 80
• 6 Solutions for Fully Plastic Conditions = 85
• 6.1 Plastic Collapse and Limit Load Theorems = 86
• 6.1.1 Drucker's Postulates of Stability = 86
• 6.1.2 Plastic Limit State (Collapse) : Definitions and Theorems = 88
• 6.2 Example of a Statically Admissible Stress Field = 92
• 6.3 Slip Line Theory = 97
• 6.3.1 Basic Equations for Plane-Strain Conditions = 97
• 6.3.2 Cauchy's Initial Value Problem = 98
• 6.3.3 The Characteristics of Plane Strain Flow.. 100
• 6.3.4 Generation of Slip-Line Fields—Boundary Conditions = 102
• 6.3.5 Examples of Notched Structures = 105
• References = 107
• 7 Determination of Fracture Parameters = 109
• 7.1 Numerical Methods : Crack Driving Forces = 109
• 7.1.1 FE Meshes for Structures with Cracks = 110
• 7.1.2 Energy Release Rate and J-Integral = 112
• 7.1.3 Stress Intensity Factors = 113
• 7.1.4 Path (Domain) Dependence of J in Incremental Plasticity = 116
• 7.2 Test Methods and Standards : Material Resistance = 119
• 7.2.1 Standard Terminology = 119
• 7.2.2 Linear-Elastic Plane-Strain Fracture Toughness = 121
• 7.2.3 Measurement of Fracture Toughness in EPFM = 122
• 7.2.4 Crack Extension in Thin Structures = 123
• References = 124
• 8 Damage and Fracture = 127
• 8.1 Phenomena and Models = 128
• 8.2 Local and Micromechanical Approaches = 130
• 8.2.1 Brittle Fracture and Cleavage = 130
• 8.2.2 Ductile Damage und Fracture = 134
• 8.2.3 The Concept of Representative Volume Elements = 136
• 8.3 Porous Metal Plasticity = 138
• 8.3.1 Gurson Model = 138
• 8.3.2 Rousselier Model = 142
• 8.3.3 Length Scales and Local Instability = 143
• 8.4 Continuum Damage Mechanics = 143
• 8.5 Parameter Identification = 146
• References = 148
• 9 The Cohesive Model = 151
• 9.1 The Cohesive Zone = 152
• 9.2 Cohesive Laws = 154
• 9.2.1 Shapes of Traction-Separation Laws = 154
• 9.2.2 Significance of Initial Compliance = 157
• 9.2.3 Unloading and Reloading = 158
• 9.2.4 Mixed Mode = 159
• 9.2.5 Cohesive Laws and Damage = 161
• 9.2.6 Triaxiality Dependence of Cohesive Parameters = 162
• 9.3 Applications = 163
• 9.3.1 Crack Extension in Thin Panels and Shells = 164
• 9.3.2 Crack Path Branching = 165
• 9.4 Advancements = 166
• References = 168
• Index = 171