Analysis of cracked layers under transient temperature field

The uncoupled thermoelasticity problem of a homogenous isotropic layer containing a line of temperature discontinuity and a Volterra edge dislocation is solved. The analysis is performed for discontinuity lines with two different directions of parallel and perpendicular to the layer boundary. The solutions for heat flux and stress fields exhibit the familiar Cauchy type singularity. These results are utilized to derive integral equations for the intensity of heat flux and densities of dislocation in a layer weakened by interacting cracks which are parallel and/or perpendicular to the layer boundary. The numerical solution of integral equations is performed and stress intensity factors for cracks are obtained.