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  Contents
 
Chapter 1 Introduction
  General; Numerical Models for Fracture Mechanics Analysis of Plates and Shells; Overview of the Present Work
 
Chapter 2 Basic Concepts
  Introduction; Basic Definitions of Shallow Shells; Governing Equations of Shallow Shells; Governing Equations of Flat Plates; Basic Concepts of Fracture Mechanics; Note on Classical Plate and Shell Theories; Summary
 
Chapter 3 The Boundary Element Method
  Introduction; The Integral Representations; Boundary Integral Equations; Numerical Implementation; Transformation of Domain Integrals; Internal Stress Resultants; Evaluation of Boundary Stress Resultants; Boundary Integrals of Shear Deformable Plate Bending and Two-Dimensional Plane Stress; Numerical Examples; Summary
 
Chapter 4 Hypersingular Integral Equations
 

Introduction; Hypersingular Integral Equations for Shear Deformable Shallow Shells; The Traction Integral Equations; Evaluation of Domain Integrals Using the Dual Reciprocity Technique; Numerical Implementation; Traction Integral Equations of Shear Deformable Plate Bending and Two-Dimensional Plane Stress; Summary
 
Chapter 5 The Dual Boundary Element Method
  Introduction; The Dual Boundary Integral Equations; Numerical Implementation; Stress Resultant Intensity Factors Evaluation; Numerical Examples; Summary
 
Chapter 6 Crack Growth Simulation
  Introduction; Crack Growth Simulation; Numerical examples; Summary
 
Chapter 7 A Multi-Domain BEM Formulation for Assembled Plate-Structures
  Introduction; Multi-Region Formulation of Plate Structure; Numerical Examples; Summary
 
Chapter 8 Conclusions and Future Work
 

Conclusions; Future Research
 
  References
 

Appendix A: Evaluation of Modified Bessel Functions
Appendix B: The Limits and Jump Terms of the Integral Equations for Shallow Shells
Appendix C: Treatment of Singularities
Appendix D: Particular solutions
Appendix E: Decompositions for the J- Integral Technique