Thermal Stresses in an Orthotropic Elastic Semispace

Abstract

The thermal stresses in an orthotropic semi-infinite elastic solid subject to plane strain are investigated. A general method of solution based upon displacement potentials is presented for the case of a steady-state temperature field. Results are presented for both stress-free and zero-displacement boundary conditions. The stresses are written in terms of Green’s functions, where the Green’s functions represent stresses induced by a line source of temperature on the bounding plane.