During the last few decades numerical methods have emerged as powerful tools for assessing problems involving fatigue crack propagation. With the rapid development of these methods in stress analysis, and the availability of high-speed digital computers, it is now possible to make reasonably accurate estimates of fatigue crack propagation rates. The simulation of general mixed-mode crack growth requires the capability to predict the direction and amount of crack growth for each given load increment, as well as the robustness to update the numerical model to account for the changing crack geometry.

This book brings together descriptions of three-dimensional boundary element methods for the analysis of fatigue crack problems in linear and nonlinear fracture mechanics. In order to overcome the mathematical degeneration associated with the solitary use of the displacement boundary integral equation for cracked bodies, the methods depicted rely on formulations based on two independent boundary integral equations: the dual boundary element method. The author demonstrates the effective implementation of the methods, and devotes special attention to the description of accurate algorithms for the evaluation of singular and near-singular integrals in the dual equations.

Contents: Introduction; Solid and Fracture Mechanics Fundamentals; The Dual Boundary Element Method for Three-Dimensional Cracked Bodies; Three-Dimensional DBEM Analysis for Fatigue Crack Growth; A BEM for Three-Dimensional Elastoplastic Problems; The Elastoplastic Dual Boundary Element Method in Three Dimensions; BEM Analysis of Fracture Problems using the Energy Domain Integral; Full-Penetration Welded Joint.
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