A Compact Solution for the Stress Field from a Cuboidal Region with a Uniform Transformation Strain

Abstract

A closed-form solution is presented for the stress field in an infinite, homogeneous, isotropic elastic material, due to a uniform transformation strain in a cuboidal region. The dislocation-based method used here offers an alternate approach and furnishes the stress state directly, as compared to the displacement gradient furnished by Chiu [2]. Both solutions are shown to produce numerically equivalent values of stress. The present results are available as a numerical (MathCad) program to compute the stress state for abitrary cuboidal geometries