Abstract
A thermal stress problem of a coated half-space due to a point heat source is solved exactly. The solutions of the Fourier integral form are obtained, and it is shown that they can be transformed into a series of known functions from which the thermal stress singularities can be obtained in the closed form. When the point heat source located at the interface between a layer and a substrate, the normal stresses have singularities of logarithmic type and the shear stress shows a jump at the point of the heat source. The intensities of the singularities are expressed in the form of products of three factors which depend only on thermal conductivities, mechanical properties and interaction of the thermal expansion coefficient and mechanical properties. The results show that there exist pairs of materials for which the singularities disappear or the normal stresses become compression.
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