On the notion of the stress tensor associated with Rn-invariant constitutive laws admitting integral representations

Binz, Ernst

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URL:	http://ub-madoc.bib.uni-mannheim.de/1967
URN:	urn:nbn:de:bsz:180-madoc-19673
Document Type:	Working paper
Year of publication:	1988
The title of a journal, publication series:	None
Publication language:	English
Institution:	School of Business Informatics and Mathematics > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC publication series:	Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject:	510 Mathematics
Classification:	MSC: 58D10 ,
Subject headings (SWD):	Einbettung <Mathematik> , Fréchet-Mannigfaltigkeit
Keywords (English):	space of embeddings , smooth R-valued one forms , Fréchet manifold , smooth embeddings , integral representation
Abstract:	By an Rn-invariant constitutive law F we mean a smooth Rn-invariant one form on the Fréchet manifold E(M,Rn) of all Euclidean smooth embeddings of a compact manifold M. Associated with it are a natural integrable Rn-valued one form and a natural two tensor, both embedding dependent, provided F is induced by a one form ~F on E(M,Rn)/Rn and ~F admits an integral representation. This two tensor plays the role of the stress tensor in elasticity theory.
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