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On an extension of the space of bounded deformations
- 1.0372405 - ÚTIA 2012 RIV DE eng J - Journal Article
Kružík, Martin - Zimmer, J.
On an extension of the space of bounded deformations.
Zeitschrift für Analysis und Ihre Anwendungen. Roč. 31, č. 1 (2012), s. 75-91. ISSN 0232-2064. E-ISSN 1661-4534
R&D Projects: GA AV ČR IAA100750802
Institutional research plan: CEZ:AV0Z10750506
Keywords : Bounded sequences of symmetrised gradients * bounded deformation
Subject RIV: BA - General Mathematics
Impact factor: 0.620, year: 2012
http://library.utia.cas.cz/separaty/2012/MTR/kruzik-on an extension of the space of bounded deformations.pdf
As for functions of bounded variations (BV ), the space of functions of bounded deformations (BD) can be equipped with different topologies. We propose an extension of the traditional space of BD functions equipped with the weak-topology. It is shown that in this fine extension, both compactness and weak-continuity of the trace hold under weak assumptions. This is relevant for applications, where the specimen is typically exposed to forces on the boundary. We give an application to a functional with a linearly growing energy density.
Permanent Link: http://hdl.handle.net/11104/0205732
Number of the records: 1