TREATMENT OF BODY-FORCE VOLUME INTEGRALS IN BEM BY EXACT TRANSFORMATION FOR 2-D ANISOTROPIC ELASTICITY

In the Boundary Element Method (BEM) based on the direct formulation, body-force effects manifest themselves as an additional volume integra l term in the Boundary Integral Equation (BIE). The numerical solution of the integral equation with this term destroys the notion of the BE M as a truly boundary solution method. This paper discusses the treatm ent of this volume integral for two-dimensional anisotropic elasticity with body-forces present. The analytical basis for transforming this integral exactly into boundary ones is presented for geometrically con vex regions. This restores the application of the BEM to such problems as a truly boundary solution technique. Numerical examples are presen ted to demonstrate the veracity of the transformation and implementati on.