Analysis of anisotropic elastic medium with multilayered isotropic elliptic ring inclusions under out-of-plane shear loading at infinity

摘要

This paper presents the closed-form solutions of a two-dimensional anisotropic elastic medium (matrix) containing isotropic elastic multilayered elliptic ring inclusions under uniform out-of-plane shear stresses at infinity. This analysis is based on the complex variable method using a conformal mapping technique and analytical continuations, and allows some sliding boundary conditions among the elastic rings, inner inclusion and the matrix. Using these solutions, we demonstrate the effects of thenumber, elastic properties and sliding parameters of various multilayered isotropic elastic rings on the distribution of stresses and displacements.