Thermoelastic crack analysis in functionally graded materials and structures by a BEM

ABSTRACT

In this paper, transient thermoelastic crack analysis in two-dimensional, isotropic, continuously non-homogeneous and linear elastic functionally graded materials subjected to a thermal shock is presented. The Laplace transform technique is used to eliminate the time dependence of the governing equations of the linear coupled thermoelasticity. Fundamental solutions for isotropic, homogeneous and linear elastic solids in the Laplace-transformed domain are applied to derive boundary–domain integral equations for the mechanical and thermal fields. The radial integration method is employed to transform the domain integrals into the boundary integrals. A collocation-based boundary element method is implemented for the spatial discretization of the boundary–domain integral equations. The time-dependent numerical solutions are obtained by using Stehfest's inversion algorithm. Numerical results are presented and discussed to show the influences of the material gradation, the thermo-mechanical coupling, the crack orientation and the thermal shock loading on the dynamic stress intensity factors.