Analytical Fracture Mechanics

Introduction. Equations of Continuum Mechanics. Equations of Elasticity. Equations of Plasticity. Plane Problems of Elasticity Theory. Linear Elastic Fracture Mechanics. Strip Models of Crack Tip Plasticity. Exact Elastoplastic Solutions for Mode III. Plane Strain Problems Involving Plastic Theory. Plane Stress Problems Involving Plastic Material. Numerical Solutions of the Mode I Elastoplastic Problem. Miscellaneous Mathematical Topics. On The Continuance of an Analytical Solution across the Elastic–Plastic Boundary of a Mode I Fracture Mechanics Problem: Elastoplastic Stress Analyses for Modes I and III. Developable Surfaces. Strain Rates for Plane Stress under the Tresca Yield Condition. Mode I Displacements. Speculations Concerning an Analytical Mode I Elastoplastic Solution. Plastic Zone Transitions: A Finite-Width Dugdale Zone Model for Mode III. An Energy-Dissipation Analysis for the Transition Model. Effective Crack Length for the Transition Model. Fracture Assessment Diagrams. Environmental Cracking: Hydrogen-Assisted Cracking. Analysis for Impending Hydrogen-Assisted Crack Propagation. A Modified Stefan Problem Related to Stress Corrosion Cracking. Small-Scale Yielding versus Exact Linear Elastic Solutions: The Fundamental Modes of Fracture. Elastic–Plastic Loci as Predicted by Linear Elastic Fracture Mechanics. Inverse Cassinian Oval Coordinates for Mode III. References. Subject Index.Introduction. On The Continuance of an Analytical Solution Across the Elastic–Plastic Boundary of a Mode I Fracture Mechanics Problem. Plastic Zone Transitions. Environmental Cracking. Small-Scale Yielding versus Exact Linear Elastic Solutions. Reference. Subject Index.