Open Access

ARTICLE

Explicit Solutions of Stresses for a Three-Phase Elliptic Inclusion Problem Subject to a Remote Uniform Load

by Ching Kong Chao¹, Chin Kun Chen³, Fu Mo Chen⁴

1 Department of Mechanical Engineering, National Taiwan University of Science and Technology, Taiwan
2 Corresponding author, E-mail: ckchao@mail.ntust.edu.tw
3 Institute of Nuclear Energy Research, Atomic Energy Council, R.O.C.
4 Department of Mechanical Engineering, Nan-Kai University of Technology, Taiwan.

Computer Modeling in Engineering & Sciences 2010, 69(2), 119-142. https://doi.org/10.3970/cmes.2010.069.119

Abstract

A general solution to a three-phase elliptic inclusion problem subjected to a remote uniform load is provided in this paper. Analysis of the present elasticity problem is rather tedious due to the presence of material inhomogeneities and complex geometric configurations. Based on the technique of conformal mapping and the method of analytical continuation in conjunction with the alternating technique, the general expressions of the displacement and stresses in each layer medium are derived explicitly in a series form. The effects of the material combinations and geometric configurations on the interfacial stresses are discussed in detail and shown in graphic form.

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