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


Binz, Ernst


[img]
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
Volume: 155
Place of publication: Mannheim
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Mathematik und Informatik
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:

Dieser Eintrag ist Teil der Universitätsbibliographie.

Das Dokument wird vom Publikationsserver der Universitätsbibliothek Mannheim bereitgestellt.




+ Citation Example and Export

Binz, Ernst (1993) A physical interpretation of the irredundant part of the first Piola-Kirchhoff-stress tensor of a discrete medium forming a skin. Open Access Mannheimer Manuskripte Mannheim 155 [Working paper]
[img]
Preview


+ Search Authors in

BASE: Binz, Ernst

Google Scholar: Binz, Ernst

+ Download Statistics

Downloads per month over past year

View more statistics



You have found an error? Please let us know about your desired correction here: E-Mail


Actions (login required)

Show item Show item