Abstract

Green’s functions in some problems of thermoelasticity for a semiinfinite body are constructed with the help of the potentials of thermoelastic displacements and Boussinesq functions. The boundaries of the body are rigidly fixed either at temperature zero or under the conditions of heat insulation. We determine the temperature and stresses caused by the heat generation in a circular domain parallel to the boundary and analyze their values for some distributions of heat sources in the domain of heat generation on the boundary of the body and in its center located at a certain distance from the boundary.

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