Treffer: On a spatial generalization of the Kolosov-Muskhelishvili formulae
Title:
On a spatial generalization of the Kolosov-Muskhelishvili formulae
Authors:
Source:
Mathematical methods in the applied sciences. 32(2):223-240
Publisher Information:
Chichester: Wiley, 2009.
Publication Year:
2009
Physical Description:
print, 20 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Mechanics acoustics, Mécanique et acoustique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Théorie du potentiel, Potential theory, Calcul 3 dimensions, Three-dimensional calculations, Elasticité linéaire, Linear elasticity, Elasticidad lineal, Equation biharmonique, Biharmonic equation, Ecuación biarmónica, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Méthode mathématique, Mathematical method, Método matemático, 31A30, Goursat's representation theorem, classical linear elasticity, functions of hypercomplex variables and generalized variables, monogenic functions, representation formulae
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
Institute of Mathematics and Physics, Bauhaus-University, Weimar, Germany
ISSN:
0170-4214
Rights:
Copyright 2009 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.20947526
Database:
PASCAL Archive
Weitere Informationen
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.