Slowing down of the growth of a crack of variable width under the influence of a temperature field

Abstract

This paper touches upon changes in the temperature field near the ends of a crack of variable width under the action of an inhomogeneous stress field. The solution of the boundaryvalue problem on the equilibrium of the crack with partially contacting edges (there is adhesion of the edges on a certain part of the contact zone and slippage on another one) under the action of the outer inhomogeneous stress field, temperature field, and efforts on the contacting surfaces of the crack of variable width comparable with displacements in an elastic state is reduced to the problem of linear conjugation of analytic functions.