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Three-dimensional singularities of elastic fields near vertices

✍ Scribed by Hermann Schmitz; Klaus Volk; Wolfgang Wendland

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
579 KB
Volume
9
Category
Article
ISSN
0749-159X

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✦ Synopsis

For the computation of the singular behavior of an elastic field near a three-dimensional vertex subject to displacement boundary conditions we use a boundary integral equation of the first kind whose unknown is the boundary stress. Localization at the vertex and Mellin transformation yield a one-dimensional integral equation on a piecewise circular curve y in R3 depending holomorphically on the complex Mellin parameter. The corresponding spectral points and packets of generalized eigenvectors characterize the desired stress field and are computed by a spline-Galerkin method with graded meshes at the corner points of the curve y . 0 lQY3 John Wiley & Sons, Inc.

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