Fracture Mechanics

I The Experimental Method of Caustics.- 1 Theory of Cracks.- 1.1 General Aspects.- 1.2 Physical Law.- 1.3 Plane-Stress Deformation.- 1.4 Plane-Strain Deformation.- 1.5 Generalized Plane-Stress Deformation.- 1.6 Complex-Stress Function.- 1.7 Westergaard Stress Function.- 1.8 Modes of Deformation.- 2 The Optical Method of Static Caustics.- 2.1 General Aspects.- 2.2 The Stress-Optical Law.- 2.3 Theory of Caustics.- 2.4 Application of the Method of Caustics in Plane Crack Problems.- 2.4.1 For Optically Isotropic Materials.- 2.4.2 For Optically Anisotropic Materials.- 2.5 Application of the Method of Caustics in Mixed-Mode Plane Crack Problems.- 2.5.1 The Stress Field at the Crack Tip for Mixed-Mode Deformation.- 2.5.2 Parametric Equations of Caustics for Biaxial Loading.- 2.5.3 Experimental Evaluation of the Biaxiality Factor k.- 2.6 Experimental Determination of the Stress-Optical Constants.- 2.7 Influence of Geometry of Edge-Cracked Plates on Stress Intensity Factors.- 2.8 Analysis of Elastic-Plastic Caustics.- 2.9 Equations of Caustics at V-Notch Tip.- 2.10 Influence of Stress-Assisted Diffusion on the Caustics.- 2.11 Study of Stress-Corrosion Crack Growth in Aluminium Alloys by Caustics.- 2.12 Influence of Orthotropy of Ductile Materials on the Caustics.- 3 The Optical Method of Dynamic Caustics.- 3.1 General Aspects.- 3.2 Dynamic Stress Field Around the Crack Tip.- 3.3 Parametric Equations of the Caustics.- 3.4 Dynamic Stress Intensity Factors $$K_I^d $$ and $$K_II^d $$.- 3.5 Application of Caustics in Dynamic Problems.- 3.5.1 Mode-I Dynamic Crack Propagation.- 3.5.2 Crack Propagation Model.- 3.6 Crack Propagation in Composite Materials.- 3.6.1 Particulate Composites.- 3.6.2 Rubber-Modified PMMA Models.- 3.6.3 PCBA-PMMA Sandwich Plates.- 3.7 Crack Propagation in Polystyrene.- 3.8 Crack Propagation Under Impact Bending Load.- 3.9 Fracture Behaviour Under Stress Pulse.- 3.9.1 Dynamic Behaviour of an Oblique Edge-Crack Under Stress Pulse.- 3.9.2 Dynamic Behaviour of a Sharp V-Notch Under Stress Pulse.- II The Det.-Criterion of Fracture.- 4 The Elastic Strain Energy Density.- 4.1 General Aspects.- 4.2 The Elastic Strain Energy.- 4.2.1 Evaluation of the Elastic Strain Energy Density from the Diameters of the Caustic.- 4.3 S2-Criterion of Fracture.- 5 Det.-Criterion of Fracture.- 5.1 General Aspects.- 5.2 Theoretical Consideration.- 5.2.1 Three-dimensional Crack Problems.- 5.2.2 Two-dimensional Crack Problems.- 6 Application of the Det.-Criterion in Plane Crack Problems.- 6.1 Cracked Plates Under Uniaxial Tension.- 6.1.1 For Singular Solution.- 6.1.2 For Solution with Constant Term.- 6.2 Cracked Plates Under Biaxial Loading.- 6.3 Cracked Plates Under Biaxial Loading With Higher-Order Approximation Solution.- 6.4 Blunt-Notched Plates Under Biaxial Loading.- 6.5 Edge-Cracked Plates Under Uniaxial Tension.- 6.5.1 For Singular Solution.- 6.5.2 For Solution with Constant Term.- 6.6 Edge Blunt-Notched Plates Under Uniaxial Tension.- 6.7 Cracked Plates Under Stress-Assisted Diffusion.- 6.7.1 For Singular Solution.- 6.7.2 For Solution with Constant Term.- 6.8 Dynamic Crack Bifurcation.- 7 Experimental Det.-Criterion of Fracture.- 7.1 The Maximum Shear Stress. Isochromatic and Isopachic Fringe Patterns.- 7.2 Experimental Method.- References.