Abstract
As has been well documented for the boundary element method (BEM), a volume integral is present in the integral equation for thermoelastic analysis. Any attempt to directly integrate the integral shall inevitably involve internal discretisation that will destroy the BEM's notion as a true boundary solution technique. Among the schemes to overcome this difficulty, the exact transformation approach is the most elegant since neither further approximation nor internal treatments are involved. Such transformation for 2D anisotropic thermoelasticity has been achieved by Shiah and Tan [1] with the aid of domain mapping. This paper revisits this problem and presents a modified transformation process for 2D anisotropic thermoelasticity, where no domain distortion is involved. Being defined in the original Cartesian coordinate system, the volume integral is analytically transformed to the boundary, being derived using the Stroh formulism. This transformation is favorable especially when the corresponding anisotropic field is directly calculated using the anisotropic Green's function without resorting to domain mapping. At the end, numerical examples are provided to show the validity of such transformation.
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