Numerical Solution for Dissimilar Confocally Elliptic Layers in Antiplane Elasticity

Abstract

This paper provides a general solution for confocally elliptic layers in antiplane elasticity. The studied medium is composed of many layers with different shear moduli. The remote stresses are applied at infinity. Complex variable method is used to study the problem. The continuity conditions for the displacement and the resultant force along the interfaces are suggested. By using the complex variable, the matrix transfer technique, and the boundary condition, the final solution is obtainable. Numerical examples are carried out to show the influence of the different shear moduli defined on different layers to the stress distribution.