Abstract

Within the framework of classical plate theory, it is shown in this paper that if we know the deflection and moments when a subregion of an isotropic homogeneous infinite plate is heated to a prescribed temperature moment, then the corresponding results for a two-phase infinite plate are directly deducible by differentiation of the known results when the interface is a straight line or a circle. Full appreciation of this fact can pave the way for the avoidance of a mathematically sophisticated process of solution. The analysis is based upon the Green's function method and covers the case of a concentrated couple applied near the interface of two bonded semiinfinite elastic plates, as well as that of a circular inclusion in a field of uniform twist.

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