Linear and nonlinear crack growth using boundary elements
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Bibliographic Information
Linear and nonlinear crack growth using boundary elements
（Topics in engineering, Vol. 36）
WIT, c2000
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Description and Table of Contents
Description
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.
Table of Contents
- Introduction: Fracture Mechanics
- Fatigue Crack Growth
- Numerical Modelling
- Overview of the Book. Solid and Fracture Mechanics Fundamentals: Notation and Basic Postulates
- Elasticity
- Elastoplasticity
- Linear Elastic Fracture Mechanics
- Elastoplastic Fracture Mechanics
- Fatigue Crack Propagation
- Conclusion. The Dual Boundary Element Method for Three-Dimensional Cracked Bodies: Introduction
- BEM for Three-Dimensional Elasticity Problems
- The Dual Boundary Element Method
- Modelling and Discretization Strategy
- Conclusion. Three-Dimensional DBEM Analysis for Fatigue Crack Growth: Introduction
- Special Crack Tip Elements
- Treatment of the Integrals
- Out-of-Core Solution of DBEM Matrix
- Crack Extension Analysis
- Examples, Conclusion. A BEM for Three-Dimensional Elastoplastic Problems: Introduction
- Governing Equations
- Initial Strain Boundary Integral Formulation
- Boundary Integral Representation of the Stresses
- Discretization Strategy
- Treatment of the Integrals
- Evaluation of Boundary Stresses
- System Matrices Assembly
- Nonlinear Solution Algorithm
- Examples
- Conclusion. The Elastoplastic Dual Boundary Element Method in Three Dimensions: Introduction
- Boundary Element Formulation
- Discretization Strategy
- Nonlinear Solution Algorithm
- Treatment of Integrals in EPDBEM
- Examples
- Conclusion. BEM Analysis of Fracture Problems using the Energy Domain Integral: Introduction
- J-Type Parameters for 3D
- The Energy Domain Integral
- Stress, Strain and Displacement Derivatives Computation
- Boundary Element Implementation
- Examples, Conclusion. Full-Penetration Welded Joint: Introduction
- Experimental Analysis
- Elastic Crack Growth Analysis
- Elastoplastic Crack Growth Analysis
- Discussion
- Conclusion.
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