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.