Complex Potentials and Integral Equations for Thermoelasticity Problem of Orthotropic Cracked Plate

Abstract

In the present article, the plane thermoelasticity problem of an infinite orthotropic cracked plate, is studied. The interaction between thermal and mechanical field, in a plate containing a crack and a heat source is investigated. The plate is submitted to normal stresses at infinity, where a heat flow is also activated. Applying the complex potentials method and the technique of Cauchy integrals, a system of singular integral equations is obtained. These equations, allow the determination of the temperature’s distribution, but also of the stress state at any point of the medium.

Keywords

• thermoelasticity
• orthotropic plate
• crack
• complex potentials
• integral equations