Ellipsoidal Elastic Inclusion in a Body Under the Action of a Constant Heat Flux on Its Surface

We obtain the analytic solution of a system of three singular integrodifferential equations of the thermoelastic problem for the space containing a thin ellipsoidal elastic inclusion. It is assumed that a constant heat flux acts on the surfaces of the inclusion. We deduce the relations for the stress concentration in the vicinity of the inclusion and stresses inside the inclusion. Special cases of the problem for an elliptic crack and a platelike perfectly rigid elliptic inclusion are considered and the corresponding relations for the stress intensity factors are obtained.