EXACT SOLUTION OF T-STRESS COMPONENTS FOR PENNY-SHAPED CRACK IN TRANSVERSELY ISOTROPIC ELASTIC MEDIUM UNDER THERMAL LOADING

Abstract

This paper presents closed-form solutions for T-stress components of a penny-shaped crack in a three-dimensional, transversely isotropic, linearly elastic infinite medium under a thermal loading. The solution for the case of uniform temperature load acting on the crack surface is derived. Existing analytical solutions of the stress field are employed along with the near-front expansion and standard differentiation and limiting process to derive T-stress components in term of elementary functions. Numerical example shows that the T-stress components under thermal loading depend on the material properties. The obtained closed-form solutions can be used as the benchmark solutions for analysis of general crack problems.