The elastic stress field in a half-space containing a prolate spheroidal inhomogeneity subject to pure shear eigenstrain

This paper presents an asymmetric elasticity solution for the stresses in a half-space containing a prolate spheroidal inhomogeneity, when it is subjected to a uniform shear eigenstrain. The interface between the inhomogeneity and the surrounding matrix is assumed to be perfect bonding or sliding. Papcovich–Neuber displacement potentials are used in the analysis. Numerical examples are given for some different major semiaxes and shape ratios, and the stress distributions around the inhomogeneity are shown graphically.