Fundamentals of Fracture Mechanics (Hardcover)

Fundamentals of the Theory of Elasticity Introduction Fundamentals of Continuum Mechanics and the Theory of Elasticity Some Classical Problems in Elasticity Concluding Remarks References Exercise Problems Elastic Crack Model Introduction Williams’ Method to Compute the Stress Field Near a Crack Tip Stress Intensity Factor and Fracture Toughness Stress and Displacement Fields for Antiplane Problems Different Modes of Fracture Direction of Crack Propagation Mixed Mode Failure Curve for In-Plane Loading Stress Singularities for Other Wedge Problems Concluding Remarks References Exercise Problems Energy Balance Introduction Griffith’s Energy Balance Energy Criterion of Crack Propagation for Fixed Force and Fixed Grip Conditions Experimental Determination of Gc Relation Between Strain Energy Release Rate (G) and Stress Intensity Factor (K) for Different Problem Geometrics Concluding Remarks References Exercise Problems Effect of Plasticity Introduction First Approximation on the Plastic Zone Size Estimation Determination of the Plastic Zone Shape in Front of the Crack Tip Plasticity Correction Factor Failure Modes Under Plane Stress and Plane Strain Conditions Dugdale Model Crack Tip Opening Displacement Experimental Determination of Kc Concluding Remarks References Exercise Problems J-Integral Introduction Derivation of J-Interval J-Interval Over a Closed-Loop Path Independence of J-Interval J-Interval for Dugdale Model Experimental Evaluation of Critical J-Integral Value, Jc Concluding Remarks References Exercise Problems Fatique Crack Growth Introduction Fatique Analysis?Mechanics of Materials Approach Fatique Analysis?Fracture Mechanics Approach Fatique Analysis for Materials Containing Microcracks Concluding Remarks References Exercise Problems Stress Intensity Factors for Some Practical Crack Geometrics Introduction Slit Crack in a Strip Crack Intersecting a Free Surface Strip with a Crack on Its One Boundary Strip with Two Collinear Identical Cracks on Its Two Boundaries Two Half Planes Connected over a Finite Region Forming Two Semi-Infinite Cracks in a Full Space Two Cracks Radiating Out from a Circular Hole Two Collinear Finite Cracks in an Infinite Plate Cracks with Two Opposing Concentrated Forces on the Surface Pressurized Crack Crack in a Wide Strip with a Concentrated Force at Its Midpoint and a Far Field Stress Balancing the Concentrated Force Circular or Penny-Shaped Crack in a Full Space Elliptical Crack in a Full Space Part-Through Surface Crack Corner Cracks Concluding Remarks References Exercise Problems Numerical Analysis Introduction Boundary Collocation Technique Conventional Finite Element Methods Special Crack Tip Finite Elements Quarter Point Quadrilateral Finite Element Concluding Remarks References Westergaard Stress Function Introduction Background Knowledge Griffith Crack in Biaxial State of Stress Concentrated Load on a Half Space Griffith Crack Subjected to Concentrated Crack Opening Loads P Griffith Crack Subjected to Nonuniform Internal Pressure Infinite Number of Equal Length, Equally Spaced Coplanar Cracks Concluding Remarks References Exercise Problems Advanced Topics Introduction Stress Singularities at Crack Corners Fracture Toughness and Strength of Brittle Matrix Composites Dynamic Effect Concluding Remarks References Exercise Problems Index