Uniform anti‐plane stress field within two nonlinear elastic non‐elliptical inhomogeneities

Abstract

We investigate the uniformity of anti‐plane stresses inside two interacting p‐Laplacian nonlinear elastic non‐elliptical inhomogeneities embedded in an infinite linear elastic matrix subjected to uniform remote anti‐plane stresses. In our discussion, the two inhomogeneities have a common nonlinear shear modulus. The uniformity of the internal stresses is accomplished through the numerical solution of a single non‐linear equation.