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SUMMARYIn the Boundary Element Method (BEM) based on the direct formulation, body-force e ects manifest themselves as an additional volume integral term in the Boundary Integral Equation (BIE). The numerical solution of the integral equation with this term destroys the notion of the BEM as a truly boundary solution method. This paper discusses the treatment of this volume integral for two-dimensional anisotropic elasticity with bodyforces present. The analytical basis for transforming this integral exactly into boundary ones is presented for geometrically convex regions. This restores the application of the BEM to such problems as a truly boundary solution technique. Numerical examples are presented to demonstrate the veracity of the transformation and implementation.