Abstract

This paper presents numerical solutions for anisotropic elastic medium with multi-layered elliptic ring inclusions. An arbitrary direction of principal axes of elasticity is considered in the matrix. General solutions of this study are obtained by using complex stress functions. The new formulation to improve problems of Lekhniskii's Formalism is proposed for anisotropic medium. Using the formulation, it is possible to determine a solution without arbitrary exchange of anisotropic parameters μ<k (k=1, 2, 3). The formulation is compared with Lekhnitskii's Formalism as well as Stroh's Formalism. Several results of calculation are shown by numerical representations.

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