One-Forms on Spaces of Embeddings : A Frame Work for Constitutive Laws in Elasticity


Binz, Ernst ; Fischer, Hans-Rudolf


[img]
Preview
PDF
116_1990.pdf - Published

Download (1MB)

URL: https://ub-madoc.bib.uni-mannheim.de/1668
URN: urn:nbn:de:bsz:180-madoc-16687
Document Type: Working paper
Year of publication: 1990
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
Subject headings (SWD): Nichtlineare Funktionalanalysis , Elastizitätstheorie
Abstract: The contribution to this volume comes from non-linear functional analysis and is motivated by a traditional part of physics. More precisely, the motivation arises from elasticity theory : Given a body, thought of as a smooth compact manifold M', possibly with boundary, moving and deforming in IRn,the latter equipped with a fixed scalar product. The deformations shall be such that the diffeomorphism type does not change. Hence M' is the image under a smooth embedding of a smooth compact manifold M, possibly with boundary ∂M. Therefore the collection E(M,IRn) of all smooth embeddings of M into IRn is the collection of all the configuration under considerations. It is a Fréchet manifold if endowed with the C∞-topology.
Additional information:

Das Dokument wird vom Publikationsserver der Universitätsbibliothek Mannheim bereitgestellt.




+ Citation Example and Export

Binz, Ernst ; Fischer, Hans-Rudolf (1990) One-Forms on Spaces of Embeddings : A Frame Work for Constitutive Laws in Elasticity. Open Access [Working paper]
[img]
Preview


+ Search Authors in

+ 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