Rigid stamp indentation for a thermoelastic half-plane

A problem for the thermoelastic half-plane indented by a rigid punch of various shapes is solved explicitly in this paper by the method of analytical continuation. The e€ects of applied loadings, the pro®le of the punch and material properties on the contact stress under the punch face are studied in detail and shown in graphic form. A rigid punch of three di€erent pro®les with or without friction is considered under the complete or incomplete indentation condition.