Basic Fracture Mechanics

Preface1 Introduction to BASIC 1.1 The BASIC Approach 1.2 The Elements of BASIC 1.3 Checking Programs 1.4 Different Computers and Variants of BASIC 1.5 Summary of BASIC Statements 1.6 Bibliography2 Elastic Fracture 2.1 Introduction 2.2 Stress and Strain 2.3 Stress Concentrations 2.4 Energy and Crack Growth 2.5 Crack Stresses and Displacements 2.6 References Problems Programs 2.4 CRIT: Critical Crack Size or Stress 2.5 CRSS: Crack Displacements and Stresses3 Stress Intensity Factors 3.1 Introduction 3.2 Using Tables and Graphs 3.3 Superposition 3.4 Numerical Methods 3.5 Using Stresses and Displacements 3.6 Energy Relationships 3.7 Green's Functions 3.8 Weight Functions 3.9 References Problems Programs 3.2 LAG: Lagrange Interpolation 3.3 MS: K-Values from Mean/Max/Tip Stress 3.5 KDISP: KI, KII from Nodal Displacements 3.7 WFI: K by Integrating a Green's Function 3.8 WFEDG: K by Integrating a Weight Function4 Crack Tip Plasticity 4.1 Introduction 4.2 Plastic Zone Size 4.3 The Shape of the Plastic Zone 4.4 Elastic-Plastic Failure 4.5 Plane Strain Fracture Toughness 4.6 Failure at Higher Levels of Plasticity 4.7 References Problems Programs 4.2 DUGIN: Dugdale/Irwin Plastic Zone Size 4.3 ZONE: Shape of Plastic Zone 4.5 CTS: Compact Tension Specimen for Fracture Toughness5 Crack Growth 5.1 Introduction 5.2 Fatigue Crack Growth 5.3 Second Order Terms 5.4 Predicting the Direction of Crack Growth 5.5 Fast Fracture under Mixed-Mode Loading 5.6 Fatigue under Mixed-Mode Loading 5.7 References Problems Programs 5.2 PCG: Crack Growth Using the Paris Law 5.3 CRSSECO: Second Order Crack Stress and Displacement 5.4 SED: Strain Energy Density and Maximum Tensile Stress6 Some Applications in Fracture Mechanics 6.1 Introduction 6.2 Design Strategies 6.3 The Critical Crack Length 6.4 Residual Stresses 6.5 Notches and Fatigue Crack Growth 6.6 Experimental Data 6.7 Failure Assessment Diagrams 6.8 Three-Dimensional Cracks 6.9 References Problems Programs 6.3 ACRIT: Critical Crack Length 6.5 NOTCH: Minimum Stress for Notch Fatigue 6.6 DAN: Gradient of a, N Curve 6.8 ELL: K-Values for a Semi-Elliptic Surface Crack