Stress in an elastic hump: the effects of glacier flow over elastic bedrock

Abstract

Stress fields in an isotropic elastic semi-infinite domain with a humped contour subjected to applied tractions are obtained for plane strain or plane stress conditions. Domains mapped conformally onto the half-plane by a class of rational functions are considered and a complex variable method is used to determine an analytic solution. A general Fortran program has been constructed to determine stresses, principal directions, principal strains, and maximum shear tractions at specified points.