A physical interpretation of the irredundant part of the first Piola-Kirchhoff-stress tensor of a discrete medium forming a skin

Binz, Ernst

Preview

PDF
155_1993_bearb.pdf - Published
Download (1MB)

URL:	https://ub-madoc.bib.uni-mannheim.de/1716
URN:	urn:nbn:de:bsz:180-madoc-17164
Document Type:	Working paper
Year of publication:	1993
The title of a journal, publication series:	Mannheimer Manuskripte zu Risikotheorie, Portfolio Management und Versicherungswirtschaft
Volume:	155
Place of publication:	Mannheim
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: 74A99 74K99 ,
Subject headings (SWD):	Differentialgeometrie , Algebraische Topologie , Riemannscher Raum , Triangulierung
Abstract:	Deformable continua in an Euclidean space are characterized by the first Piola-Kirchhoff stress tensor. In doing so it is assumed that the continuum forms a connected, smooth and oriented Riemannian submanifold M of IR n with boundary M. Taking (covariant) divergence of the tensor a (assumed to be smooth) yields the internal force density on M. The internal force density caused on M is (n) with n the oriented unit normal of M in M. (Fortsetzung s. Original-Dokument)
Additional information: