Surface Strains Due to Face Loading of a Slot in a Layered Half-Space

Abstract

A solution is presented that will allow the compliance method for residual stress measurement to be applied to layered materials. The solution is for surface strains due to arbitrary normal stress loading on the faces of a slot in a layered half-space. The materials are homogeneous isotropic elastic with different elastic constants and the slot may penetrate into the substrate. The solution is accomplished using the body force method and the solution for a point force in two bonded half spaces. The results indicate that, for residual stress measurement, the effects of the substrate properties are significant for materials with elastic moduli differing by 50 percent or more when the slot penetrates to at least one-half of the layer thickness.