Abstract
We reduce a problem of stationary heat conduction for a body with a heat permeable disk-shaped inclusion between the surfaces of which nonideal thermal contact takes place to a hypersingular integral equation of the second kind. The exact solution of this equation for the case where its right-hand side is a polynomial of the third degree and, in the axisymmetric case, a polynomial of the n th degree, is presented. For these cases, we determine shear stresses on the inclusion generated by heat dipoles and intensity factors of tangential stresses for a heat permeable circular crack.
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