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

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.

Automated summary

This study investigates the uniformity of internal 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. The uniformity of the internal stresses is achieved through the numerical solution of a single non-linear equation.