bibtype J - Journal Article
ARLID 0322576
utime 20240111140717.0
mtime 20090401235959.9
WOS 000263676800002
DOI 10.1007/s00033-007-7064-0
title (primary) (eng) A complete-damage problem at small strains
specification
page_count 32 s.
media_type www
serial
ARLID cav_un_epca*0255379
ISSN 0044-2275
title Zeitschrift für angewandte Mathematik und Physik
volume_id 60
volume 2 (2009)
page_num 205-236
publisher
name Springer
title (cze) Úloha úplného poškození při malých přetvořeních
keyword Inelastic damage
keyword small strain
keyword variational inequality
author (primary)
ARLID cav_un_auth*0249056
name1 Bouchitte
name2 G.
country FR
author
ARLID cav_un_auth*0015533
name1 Mielke
name2 A.
country DE
author
ARLID cav_un_auth*0101187
name1 Roubíček
name2 Tomáš
institution UTIA-B
full_dept Department of Decision Making Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
source_type pdf
url http://library.utia.cas.cz/separaty/2009/MTR/roubicek-a complete-damage problem at small strains.pdf
cas_special
project
project_id IAA1075402
agency GA AV ČR
ARLID cav_un_auth*0012788
research CEZ:AV0Z10750506
abstract (eng) Damage of a linearly-responding material that can thus completely disintegrate is addressed at small strains. Using time-varying Dirichlet boundary conditions we set up a rate-independent evolution problem in multidimensional situations. The stored energy involves the gradient of the damage variable. This variable as well as the stress and energies are shown to be well defined even under complete damage, in contrast to displacement and strain. Existence of an energetic solution is proved, in particular, by detailed investigating the Gamma-limit of the stored energy and its dependence on boundary conditions. Eventually, the theory is illustrated on a one-dimensional example.
abstract (cze) Článek s zabývá úlohou úplného poškození při malých přetvořeních.
reportyear 2009
RIV BA
permalink http://hdl.handle.net/11104/0170791
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mrcbT16-g 0.2
mrcbT16-h >10.0
mrcbT16-i 0.0039
mrcbT16-j 0.6
mrcbT16-k 1472
mrcbT16-l 65
arlyear 2009
mrcbU34 000263676800002 WOS
mrcbU56 pdf
mrcbU63 cav_un_epca*0255379 Zeitschrift für angewandte Mathematik und Physik 0044-2275 1420-9039 Roč. 60 č. 2 2009 205 236 Springer