bibtype	J - Journal Article
ARLID	0493138
utime	20240103220442.4
mtime	20180910235959.9
SCOPUS	85055251741
WOS	000443341200029
DOI	10.1137/17M1131428
title (primary) (eng)	On the passage from nonlinear to linearized viscoelasticity
specification	page_count 31 s. media_type P
serial	ARLID cav_un_epca*0257597 ISSN 0036-1410 title SIAM Journal on Mathematical Analysis volume_id 50 volume 4 (2018) page_num 4426-4456 publisher name SIAM Society for Industrial and Applied Mathematics
keyword	viscoelasticity
keyword	metric gradient flows
keyword	curves of maximal slope
keyword	minimizing movements
author (primary)	ARLID cav_un_auth*0327068 name1 Friedrich name2 M. country DE
author	ARLID cav_un_auth*0101142 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 share 50 name1 Kružík name2 Martin institution UTIA-B fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source	url http://library.utia.cas.cz/separaty/2018/MTR/kruzik-0493138.pdf
cas_special	project ARLID cav_un_auth*0342514 project_id 7AMB16AT015 agency GA MŠk project project_id GF16-34894L agency GA ČR country CZ ARLID cav_un_auth*0331681 abstract (eng) We formulate a quasistatic nonlinear model for nonsimple viscoelastic materials at\na finite-strain setting in the Kelvin-Voigt rheology where the viscosity stress tensor complies with the principle of time-continuous frame indifference. We identify weak solutions in the nonlinear framework as limits of time-incremental problems for vanishing time increment. Moreover, we show that linearization around the identity leads to the standard system for linearized viscoelasticity and that solutions of the nonlinear system converge in a suitable sense to solutions of the linear one. The same property holds for time-discrete approximations, and we provide a corresponding commutativity result. Our main tools are the theory of gradient flows in metric spaces and Γ-convergence. result_subspec WOS RIV BA FORD0 10000 FORD1 10100 FORD2 10101 reportyear 2019 num_of_auth 2 mrcbC52 4 A hod 4ah 20231122143400.7 inst_support RVO:67985556 permalink http://hdl.handle.net/11104/0287001 mrcbC62 1 mrcbC64 1 Department of Decision Making Theory UTIA-B 10102 MATHEMATICS, APPLIED confidential S mrcbC86 1 Article Mathematics Applied mrcbT16-e MATHEMATICSAPPLIED mrcbT16-j 1.525 mrcbT16-s 2.396 mrcbT16-B 91.304 mrcbT16-D Q1* mrcbT16-E Q1* arlyear 2018 mrcbTft \nSoubory v repozitáři: kruzik-0493138.pdf mrcbU14 85055251741 SCOPUS mrcbU24 PUBMED mrcbU34 000443341200029 WOS mrcbU63 cav_un_epca*0257597 SIAM Journal on Mathematical Analysis 0036-1410 1095-7154 Roč. 50 č. 4 2018 4426 4456 SIAM Society for Industrial and Applied Mathematics