Boundary element analysis of three‐dimensional mixed‐mode thermoelastic crack problems using the interaction and energy domain integrals

Abstract

SUMMARYA three-dimensional boundary element method (BEM) implementation of the interaction integral methodology for the numerical analysis of mixed-mode three-dimensional thermoelastic crack problems is presented in this paper. The interaction integral is evaluated from a domain representation naturally compatible with the BEM, since stresses, strains, temperatures and derivatives of displacements and temperatures at internal points can be evaluated using the appropriate boundary integral equations. Several examples are analysed and the results compared with those available in the literature to demonstrate the efficiency and accuracy of the implementation to solve straight and curved crack-front problems.

Simulation of thermoelastic crack problems using singular edge-based smoothed finite element method

“…A numerical method such as the finite element method (FEM) [1][2][3][4] is an efficient tool for analyzing the cracked bodies and has been widely used for solving thermal fracture problems. In addition, numerical methods including the boundary element method (BEM) [5][6][7][8] and extended finite element method (XFEM) [9][10][11] are also applied to solve thermoelastic crack problems.…”

Stress Intensity Factor Evaluation of Anisotropic Cracked Sheets under Dynamic Loads Using Energy Domain Integral

“…Finally, the evaluation of the dynamic stress intensity factors is performed using the energy domain integral (EDI). The EDI for fracture mechanics problems has been described by Cisilino, Aliabadi and Otegui [12] and by Balderrama, Cisilino, and Martinez [13]. To the best of authors knowledge, it is the first time that EDI is been used in the computation of dynamic stress intensity factors for anisotropic materials.…”