Abstract
ABSTRACTAn analytical solution to two circular inclusions embedded in an infinite plate subjected to a remote uniform heat flux is provided in this article. Based on the method of analytical continuation and the technique of conformal mapping, the general expressions of the temperature and stresses are derived explicitly in a series form. Since our derived series solutions are expressed in terms of the material parameters, the present results are available for the case of even two circular inclusions are getting closer. For a limiting case, when two circular inclusions are set apart sufficiently, the derived analytical solutions are reduced to those of the corresponding single inclusion problem. Numerical results of interfacial stresses are performed and displayed in graphic form. It is interesting to see that both the normal and shear interfacial stresses experience a big jump across the point nearest to the neighboring inclusion, when the distance of two circular inclusions is sufficiently small.
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