Abstract

This article presents an analytical solution for plane thermoelasticity problems of a nonuniformly coated circular inclusion under a remote uniform heat flow. Based on the technique of conformal mapping and the method of analytical continuation in conjunction with the alternating technique, the general expressions of the temperature, displacements and stresses for three dissimilar media are derived explicitly in a series form. For a limiting case that the thickness of the interphase layer is uniform, the derived analytical solutions are reduced to those of the corresponding circularly cylindrical layered media problem. Numerical results of interfacial stresses are carried out and displayed in graphic form.

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