STRESS-CONCENTRATION AT IRREGULAR SURFACES OF ANISOTROPIC HALF-SPACES

An analytical method is presented to derive the stresses in anisotropi c half-spaces with smooth and irregular surface morphologies. The half spaces can be subjected to body forces, surface tractions, and unifor m far-field stresses. The general solution is expressed in terms of th ree analytical functions using the analytical function method of aniso tropic elasticity. These three functions are then determined using a n umerical conformal mapping technique and an integral equation method. Numerical examples are presented for the stress concentration at irreg ular surfaces induced by a uniform far-field horizontal stress. The el astic half-spaces are assumed to be transversely isotropic or isotropi c, and their surface morphologies are constructed by the superposition of multiple long and symmetric ridges (mounds) and valleys (depressio ns). For isotropic media, the stress concentration depends only on the half-space surface geometry. It is found here that for anisotropic me dia, the half-space surface geometry, as well as the orientation of th e planes of material anisotropy, have a great effect on the stress con centration. The degree of material anisotropy, on the other hand, has little influence on the stress concentration.