A BEM for transient coupled thermoelastic crack analysis of homogeneous/functionally graded bimaterials

摘要

A transient coupled thermoelastic analysis of two-dimensional, isotropic and linear elastic bimaterials, which are composed of a functionally graded (FG) layer attached to a homogeneous substrate, subjected to thermal shock is investigated. For this purpose, a boundary element method (BEM) for linear coupled thermoelasticity is developed. The material properties of the FG layer are assumed to be continuous functions of the spatial coordinates. The boundary-domain integral equations are derived by using the fundamental solutions of linear coupled thermoelasticity for the corresponding isotropic, homogeneous and linear thermoelastic solids in the Laplace-transformed domain. For the numerical solution, a collocation method with piecewise quadratic approximation is implemented. Numerical results for the dynamic stress intensity factors are presented and discussed.