Abstract
Direct boundary element formulations are presented for the elastostatic analysis of two- and three-dimensional general anisotropic media subject to known temperature distributions. The thermal effects are incorporated in the analysis through a volume integral or alternatively, using particular integrals. A multi-region boundary element approach is adopted, in which particular integrals are derived assuming a quadratic temperature distribution in each sub-region. A multiple regression scheme is used for the best fit quadratic temperature distribution in each sub-region for temperature data given at discrete points. The multi-region analysis capability of the numerical implementation enhances its capacity to model discontinuous temperature fields as well as piecewise homogeneous media, such as laminated composites. The formulations presented are incorporated in a general purpose system and are illustrated with examples.
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