bibtype J - Journal Article
ARLID 0372405
utime 20240103200402.6
mtime 20120207235959.9
WOS 000300538900005
DOI 10.4171/ZAA/1449
title (primary) (eng) On an extension of the space of bounded deformations
specification
page_count 17 s.
serial
ARLID cav_un_epca*0258017
ISSN 0232-2064
title Zeitschrift für Analysis und Ihre Anwendungen
volume_id 31
volume 1 (2012)
page_num 75-91
keyword Bounded sequences of symmetrised gradients
keyword bounded deformation
author (primary)
ARLID cav_un_auth*0101142
name1 Kružík
name2 Martin
full_dept (cz) Matematická teorie rozhodování
full_dept (eng) Department of Decision Making Theory
department (cz) MTR
department (eng) MTR
institution UTIA-B
full_dept Department of Decision Making Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
ARLID cav_un_auth*0243187
name1 Zimmer
name2 J.
country GB
source
url http://library.utia.cas.cz/separaty/2012/MTR/kruzik-on an extension of the space of bounded deformations.pdf
cas_special
project
project_id IAA100750802
agency GA AV ČR
ARLID cav_un_auth*0241214
research CEZ:AV0Z10750506
abstract (eng) 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.
reportyear 2012
RIV BA
num_of_auth 2
permalink http://hdl.handle.net/11104/0205732
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arlyear 2012
mrcbU34 000300538900005 WOS
mrcbU63 cav_un_epca*0258017 Zeitschrift für Analysis und Ihre Anwendungen 0232-2064 1661-4534 Roč. 31 č. 1 2012 75 91