WIT Press


Invited Paper Hypersingular Integral Equations And Superaccurate Stress Evaluation

Price

Free (open access)

Paper DOI

10.2495/BE930281

Volume

1

Pages

16

Published

1993

Size

1,168 kb

Author(s)

M. Guiggiani

Abstract

Invited Paper Hypersingular integral equations and superaccurate stress evaluation M. Guiggiani Dipartimento di Matematica, Universitd degli Studi di Siena, Via del Capitano 15, 53100 Siena, Italy ABSTRACT The full stress tensor is evaluated at boundary points by direct application of in- tegral identities for the displacement derivatives with hypersingular kernel func- tions. It is first shown that integral equations with singular kernels do not give rise to unbounded terms, even when the source point is on the boundary. A gen- eral method for performing the actual computation is also described. Numerical results are quite interesting, since the stress components evaluated through the hypersingular integral equations show very good accuracy even on coarse meshes. INTRODUCTION In elastic problems, the Boundary Element Method provides an approximation of displacements and tractions all over the boundary of the body. Therefore, the in-plane stress components a,, o

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