bibtype J - Journal Article
ARLID 0558930
utime 20240402213504.8
mtime 20220711235959.9
SCOPUS 85130910733
WOS 000833683500001
DOI 10.3934/mine.2023030
title (primary) (eng) Linearization and computation for large-strain visco-elasticity
specification
page_count 15 s.
media_type P
serial
ARLID cav_un_epca*0544368
ISSN Mathematics in Engineering
title Mathematics in Engineering
volume_id 5
volume 2 (2023)
page_num 1-15
keyword Kelvin-Voigt rheology
keyword visco-elasticity
keyword numerical scheme
author (primary)
ARLID cav_un_auth*0353452
name1 Dondl
name2 P.
country DE
author
ARLID cav_un_auth*0432746
name1 Jesenko
name2 M.
country SI
share 25
author
ARLID cav_un_auth*0101142
name1 Kružík
name2 Martin
institution UTIA-B
full_dept (cz) Matematická teorie rozhodování
full_dept Department of Decision Making Theory
department (cz) MTR
department MTR
full_dept Department of Decision Making Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
ARLID cav_un_auth*0292941
name1 Valdman
name2 Jan
institution UTIA-B
full_dept (cz) Matematická teorie rozhodování
full_dept Department of Decision Making Theory
department (cz) MTR
department MTR
full_dept Department of Decision Making Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
url http://library.utia.cas.cz/separaty/2022/MTR/kruzik-0558930.pdf
source
url https://www.aimspress.com/article/doi/10.3934/mine.2023030
cas_special
project
project_id 8J21AT001
agency GA MŠk
ARLID cav_un_auth*0413224
project
project_id GF21-06569K
agency GA ČR
ARLID cav_un_auth*0412957
abstract (eng) Time-discrete numerical minimization schemes for simple visco-elastic materials in the Kelvin-Voigt rheology at high strains are not well posed because of the non-quasi-convexity of the dissipation functional. A possible solution is to resort to non-simple material models with higherorder gradients of deformations. However, this makes numerical computations much more involved. Here, we propose another approach that relies on local minimizers of the simple material model. Computational tests are provided that show a very good agreement between our model and the original.
result_subspec WOS
RIV BA
FORD0 10000
FORD1 10100
FORD2 10102
reportyear 2024
num_of_auth 4
inst_support RVO:67985556
permalink https://hdl.handle.net/11104/0333415
confidential S
mrcbC91 A
mrcbT16-e MATHEMATICSINTERDISCIPLINARYAPPLICATIONS
mrcbT16-j 0.836
mrcbT16-s 0.844
mrcbT16-D Q2
mrcbT16-E Q2
arlyear 2023
mrcbU14 85130910733 SCOPUS
mrcbU24 PUBMED
mrcbU34 000833683500001 WOS
mrcbU63 cav_un_epca*0544368 Mathematics in Engineering 5 2 2023 1 15 2640-3501