Transient Thermal Stresses Due to a Local Source of Heat Moving Back and Forth Over the Surface of an Infinite Slab

Abstract

A solution is given for three-dimensional transient thermal stresses due to a local source of heat that moves back and forth with a constant angular velocity over the surface of an infinite elastic slab. The transient temperature distribution is obtained by means of the complex Fourier and Laplace transforms, and the associated thermal stresses are obtained by making use of the thermoelastic displacement function and the Galerkin function.