Abstract
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.
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