Analysis of 2D anisotropic thermoelasticity involving constant volume heat source by directly transformed boundary integral equation

For treating 2D anisotropic thermoelasticity without heat sources, a new volume-to-surface integral transformation has been reported, where no coordinate transformation is involved. In that approach, it is still inevitable to add an extra line integral in the boundary integral equation (BIE) to validate the transformation. Obviously, evaluation of the extra line integral shall require determination of all thermal data along the integration path inside domain. As a result, this process will partially destroy the nature of boundary solution when internal thermal data need to be first determined by the BIE for potential problems. In this paper, this new approach to directly transform the domain integral without coordinate transformation is followed to further treat the problem when uniform hear sources are presented inside domain. Another new treatment is the reformulation of all kernel functions, by which no more extra line integral is needed as in the previous work. A few benchmark examples are presented at last to illustrate the veracity of all formulations derived.