Stress Distributions around Circular Inclusion in Infinite Plane for Nonlocal Elasticity : 1st Report, Matrix and circular inclusion have the same nonlocal coefficients

Abstract

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