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Full Description
A description of the formulation and implementation of the dual boundary element method (DBEM) as applied to 3-D fracture mechanics in thermoelasticity. J-integral implementation and crack growth simulation are included. The work achieves the mixed-mode SIF through a decomposition technique and features methods that allow easy 3-D crack growth simulation under thermomechanical loads. It is designed to be used by postgraduate students and researchers in academia and industry.
Contents
Acknowledgements Preface Chapter 1 - Introduction General; Fracture mechanics; Numerical Methods; Overview of this work; Author's published work Chapter 2 - Thermoelasticity and Fracture Mechanics Introduction; Three-dimensional thermoelasticity; Fracture mechanics; Analysis of crack growth; Summary Chapter 3 - Boundary Integral Equations and the Boundary Element Method Introduction; Boundary integral equations for steady-state thermoelasticity; The boundary element method for thermoelasticity; Numerical example; Summary Chapter 4 - The Dual Boundary Element Method for Three-Dimensional Thermoelasticity Introduction; The dual boundary element method; Modelling and discretisation strategy; Treatment of the singular integrals; Summary Chapter 5 - Application of DBEM to Themoelastic Fracture Mechanics Introduction; Special crack front elements; Stress intensity factor assessment; Numerical examples; Summary Chapter 6 - Fracture Analysis in Thermoelasticity Using J-integral Introduction; The J-integral for thermoelasticity; Mixed mode J-integral; Symmetric and antisymmetric components; Decomposition of integrands; Thermoelastic fields at internal points for J-integral; Numerical implementation; Numerical examples; Summary Chapter 7 - Thermo-mechanical Crack Propagation Introduction; Crack growth simulation; Numerical examples; Summary Chapter 8 - Conclusions Introduction; Summary and conclusions; Recommendations for future research Appendix - Theorems and identites for potential and elasticity problems Green's Theorem: The reciprocity theorem for potential; The fundamental solution for potential; Betti's reciprocal theorem; Kelvin's fundamental solutions; Somigliana's identity Bibliography