Tension of an Infinite Body Containing a Row of Ellipsoidal Inclusions.

Abstract

This paper deals with a row of equally spaced equal ellipsoidal inclusions in an infinite body subjected to tension. Based on the concepts of the body force method, the problems are formulated as a system of singular integral equations with cauchy-type or logarithmic-type singularities, where the densities of body forces distributed in the γ and z-directions of infinite bodies having the same elastic constants of the matrix and inclusions are unknown functions. In order to satisfy the boundary conditions along the inclusions, eight kinds of fundamental density functions proposed in our previous paper are used. In the analysis, the number, shape and distance of inclusions are varied systematically; then, the magnitude and position of the maximum stress are examined. For any fixed shape and size of inclusions, the maximum stress is shown to be linear with the reciprocal of the squared number of inclusions.