Abstract
On the basis of the general integral equations of thermoelectroelasticity deduced earlier for bodies with thin heterogeneities, we construct an analytic solution of the plane problem for a pyroelectric body containing a crack whose faces are kept at a constant temperature under the action of a concentrated heat source lying on the continuation of its axis. By using the principle of self-similarity, we establish the conditions under which the steady-state mode of heat conduction is attained. Compact solutions are obtained for the intensity factors of heat flows, stresses, and electric displacements. The numerical analysis of the results is performed.
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