Exact boundary integral transformation of the thermoelastic domain integral in BEM for general 2D anisotropic elasticity

In the direct formulation of the boundary element method, body-force and th ermal loads manifest themselves as additional volume integral terms in the boundary integral equation. The exact transformation of the volume integral associated with body-force loading into surface ones for two-dimensional e lastostatics in general anisotropy, has only very recently been achieved. T his paper extends the work to treat two-dimensional thermoelastic problems which, unlike in isotropic elasticity, pose additional complications in the formulation. The success of the exact volume-to-surface integral transform ation and its implementation is illustrated with three examples. The presen t study restores the application of BEM to two-dimensional anisotropic elas tostatics as a truly boundary solution technique even when thermal effects are involved.