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On a spatial generalization of the Kolosov–Muskhelishvili formulae

✍ Scribed by S. Bock; K. Gürlebeck

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
149 KB
Volume
32
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

The main goal of this paper is to construct a spatial analog to the Kolosov–Muskhelishvili formulae using the framework of the hypercomplex function theory. We prove a generalization of Goursat's representation theorem for solutions of the biharmonic equation in three dimensions. On the basis of this result, we construct explicitly hypercomplex displacement and stress formulae in terms of two monogenic functions. Copyright © 2008 John Wiley & Sons, Ltd.

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