Thermal stress analysis of a mixed boundary value problem with a square rigid inclusion under uniform heat flux

摘要

The mixed boundary value problem where zero displacement and zero stress are given is solved for an infinite plane with a square hole subjected to uniform heat flux in any direction. The complex variable method and the rational mapping function are used for the anlysis. The stress functions are obtained in a closed form and its first derivative is given by such a form that does not contain integral terms. Stress distributions and stress intensity of debonding at the debonded tips are calculated for arbitrary direction of heat flux.