TREATMENT OF THERMOELASTIC EFFECTS IN THE AXISYMMETRIC BOUNDARY INTEGRAL EQUATION METHOD

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Abstract
Unlike any other numerical methods, the axisymmetric form of the Boundary Integral Equation (BIE) method is not a straightforward modification of the two- or three-dimensional formulations. In this paper, axisymmetric thermoelastic effects are treated as effective body forces over the volume and transformed to the boundary to preserve the important advantage of the BIE method of reducing the dimensionality by one. Two alternative approaches are presented; one is based on integrating the already established three-dimensional solutions, and the other assumes from the outset an axisymmetric ring of load rather than the three-dimensional point load. Both approaches are shown to arrive at identical solutions. A numerical example is included to illustrate the numerical implementation and accuracy of the thermoeleastic axisymmetric BIE formulation.

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