Author(s)

N.-A. Noda & T. Matsuo

Abstract

This paper deals with stress analysis of elliptical and ellipsoidal inclusions using singular integral equations of the body force method. The stress and displacement fields due to a point force in an infinite plate and a ring force in an infinite body are used as fundamental solutions. On the idea of the body force method, the problems are formulated as a system of singular integral equations with Cauchy-type or logarithmic-type singularities, where unknown functions are densities of body forces distributed in the x- and y-directions of infinite plates or in the r- and z-directions of infinite bodies having the same elastic constants of the matrix and inclusions. In order to satisfy the boundary conditions along the inclusions, eight kinds of fundamental densit

Keywords