Stress intensity factors of two bonded half-plane problem with a point heat source

Abstract

The two-dimensional thermoelastic crack problem of two bonded dissimilar media with a point heat source is considered in this paper. Based on the complex variable theory and the method of analytical continuation, the problem is formulated by two stress functions and a temperature function for each material medium which are enforced to satisfy the interface condition. Furthermore, the singular integral equations are derived by taking some density functions along the crack border in a way that the traction-free condition is satisfied on the crack surface. Numerical results for both half-plane and two bonded half-plane problems associated with a curved crack or a line crack under a point heat source are presented and provided in graphic form.