Elliptic Inclusion in an Anisotropic Body

Overview

The thermoelastic problem for an isotropic medium containing a circular or ovaloid hole by the method of Muskhelishvili [1] was first studied by Florence and Goodier [2, 3]. Since then, a number of the hole or crack problems have received considerable interest such as Sturla and Barber [4] for anisotropic material with a plane crack by applying a Green’s function formulation, Hwu [5] for anisotropic body with an elliptic hole based upon Stroh formalism [6, 7], and Tam and Wang [8] for anisotropic materials with a hole or a rigid inclusion based upon Lekhnitskii complex potential approach [9]. As to thermoelastic inclusion problems, the thermal stresses induced by circular inclusions subjected to arbitrary thermal loadings were recently solved by Chao and Shen [10] based on Laurent series expansion and the method of analytical continuation.

In this entry, an elliptic inclusion embedded in an anisotropic body under remote uniform heat flow is solved by using the Lekhnitskii...