PROBLEMS OF STATIONARY HEAT CONDUCTION AND THERMOELASTICITY FOR A BODY WITH A HEAT PERMEABLE DISK-SHAPED INCLUSION (CRACK)

摘要

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 nth 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.