Author(s)

T.A. Cruse

Abstract

The use of the classical potential theory in the formulation of boundary integral equation (BIE) representations of the differential equations of elasticity is widely accepted as an effective formulation for many classes of problems. However, since the inception of computational modeling of the BIE in elasticity, the presence of potential function singularities in the kernel functions has forced the use of special and, sometimes, elaborate algorithms to account for the various levels of singularities of these potentials. The algorithmic issues have gotten more complex for the hypersingular form of the stress- BIE and have caused significant disagreements in the literature on what constitutes mathematically correct approximations of the stress-BIE. The current paper reports on recent work to more properly fo

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