Stress Distributions around Circular Inclusion in Infinite Plane for Nonlocal Elasticity : Matrix and Circular Inclusion have the Same Nonlocal Coefficients

Abstract

We describe the complementary relationship between stress and displacement for nonlocal elasticity. This relationship is derived from the definition of nonlocal stress and the equilibrium equation. The stress solutions in an infinite plane subjected to a uniform compressed load are given. It is assumed that the nonlocal effects of the matrix and the inclusion are the same, and these effects cross the boundary between the matrix and inclusion. The stress distribution around a hole is drawn graphically using this solution. One of the effects of nonlocal elasticity is the development of a stress relaxation zone around a hole.