WIT Press


Nonsingular Formulations Of The Singular And Hypersingular Equations In Elasticity

Price

Free (open access)

Paper DOI

10.2495/BT970041

Volume

16

Pages

10

Published

1997

Size

764 kb

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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