On an extension of the space of bounded deformations

0372405 - ÚTIA 2012 RIV DE eng J - Článek v odborném periodiku
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
Grant CEP: GA AV ČR IAA100750802
Výzkumný záměr: CEZ:AV0Z10750506
Klíčová slova: Bounded sequences of symmetrised gradients * bounded deformation
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.620, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0205732