Mixed boundary-value problems of two-dimensional anisotropic thermoelasticity with elliptic boundaries

The two-dimensional mixed boundary-value problems for an anisotropic thermoelastic body containing an elliptic hole boundary are considered in this paper. By using the formalism of Stroh [Phil. Mag. 7, 625-646], the approach of analytic function continuation and the technique of conformal mapping, a unified analytical solution for elliptic hole boundaries and for general anisotropic thermoelastic media is provided. As an application, two typical examples associated with mixed boundary-value problems are solved completely. One is an indentation problem over an elliptic hole boundary, the other is a partially reinforced elliptic hole under a remote uniform heat flow. Both the contact stress under the rigid stamp and the bonded stress along the reinforced segment are studied in detail and shown in graphic form. (C) 2001 Elsevier Science Ltd. All rights reserved.