On a spatial generalization of the Kolosov-Muskhelishvili formulae

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 o...

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Veröffentlicht in:	Mathematical methods in the applied sciences Jg. 32; H. 2; S. 223 - 240
Hauptverfasser:	Bock, S., Gürlebeck, K.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Chichester, UK John Wiley & Sons, Ltd 30.01.2009 Wiley
Schlagworte:	classical linear elasticity Exact sciences and technology functions of hypercomplex variables and generalized variables Goursat's representation theorem Mathematical analysis Mathematics monogenic functions Potential theory representation formulae Sciences and techniques of general use Three-dimensional calculations Linear elasticity Applied mathematics Biharmonic equation representation formulae Mathematical method monogenic functions classical linear elasticity Goursat's representation theorem functions of hypercomplex variables and generalized variables
ISSN:	0170-4214, 1099-1476
Online-Zugang:	Volltext
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