Elastic Field of a Dilatational Cylindrical Inclusion in an Elastically Isotropic Half-Space

Abstract

In this article, a new solution to the elasticity boundary-value problem for a dilatational cylindrical inclusion embedded in an elastically isotropic half-space is presented. To solve this problem, the results for the infinitesimally thin dilatational disk in an elastically isotropic half-space, are explored. For displacements, strains, and stresses of a dilatational cylindrical inclusion, the analytical expressions are obtained with Lipschitz-Hankel integrals. The comparison of the found solution with previously known one, is given.