Abstract
The elastic field caused by a centre of dilatation in a plate is given in terms of Galerkin vectors. The field caused by a thermal inhomogeneity is obtained by a method which is based on the integration of properly weighted centres of dilatation over the volume occupied by the plate. The potential functions for the problem solved are the harmonic potential functions of attracting matter filling the element of volume and its mirror images. One of the applications, the thermal elastic stresses due to an expanding (or contracting) inclusion of any shape embedded in the plate, is given as an example. Numerical results for a spherical inclusion with pure dilatation eigenstrain are also presented.
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Schedule a callMore From: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
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