International Journal for Numerical Methods in Engineering · 1997 · 21 citations · 8 references
EngineeringComputational EngineeringApplied MechanicsComputational MechanicsSolid MechanicsBoundary Element MethodsElasticity TheoryIntegral Equation FormulationsSolid Mechanics ApplicationsAnisotropic ElasticityBoundary Element ModelingBoundary Integral Equation FormulationsBoundary Integral EquationsElasticity ProblemsVolume Integral EquationsVolume Term
In the Boundary Element Method (BEM) based on the direct formulation, body-force effects 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 atruly boundary solution method. This paper discusses the treatment 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 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. © 1997 by John Wiley & Sons, Ltd.
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