bibtype J - Journal Article
ARLID 0548247
utime 20220321120636.4
mtime 20211118235959.9
SCOPUS 85119183101
WOS 000721365700005
DOI 10.1016/j.na.2021.112668
title (primary) (eng) Separately global solutions to rate-independent processes in large-strain inelasticity
specification
page_count 37 s.
serial
ARLID cav_un_epca*0257331
ISSN 0362-546X
title Nonlinear Analysis: Theory, Methods & Applications
volume_id 215
publisher
name Elsevier
keyword Rate-independent processes
keyword Large strain
keyword Inelasticity with internal variables
author (primary)
ARLID cav_un_auth*0417358
name1 Davoli
name2 E.
country AT
share 33
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*0374200
name1 Pelech
name2 P.
country CZ
source
url http://library.utia.cas.cz/separaty/2021/MTR/kruzik-0548247.pdf
source
url https://www.sciencedirect.com/science/article/pii/S0362546X21002595?via%3Dihub
cas_special
project
project_id GF19-29646L
agency GA ČR
country CZ
ARLID cav_un_auth*0385134
project
project_id 8J19AT013
agency GA MŠk
country CZ
ARLID cav_un_auth*0385123
abstract (eng) In this paper, we introduce the notion of separately global solutions for largestrain rate-independent systems, and we provide an existence result for a model describing bulk damage. Our analysis covers non-convex energies blowing up for extreme compressions, yields solutions excluding interpenetration of matter, and allows to handle nonlinear couplings of the deformation and the internal variable featuring both Eulerian and Lagrangian terms. In particular, motivated by the theory developed in Roubíček (2015) in the small strain setting, and for separately convex energies we provide a solution concept suitable for large strain inelasticity.
result_subspec WOS
RIV BA
FORD0 10000
FORD1 10100
FORD2 10101
reportyear 2022
num_of_auth 3
inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0324434
mrcbC61 1
confidential S
article_num 112668
mrcbC91 C
mrcbT16-e MATHEMATICS|MATHEMATICSAPPLIED
mrcbT16-j 0.964
mrcbT16-s 1.347
mrcbT16-D Q1
mrcbT16-E Q1
arlyear 2022
mrcbU14 85119183101 SCOPUS
mrcbU24 PUBMED
mrcbU34 000721365700005 WOS
mrcbU63 cav_un_epca*0257331 Nonlinear Analysis: Theory, Methods & Applications 0362-546X 1873-5215 Roč. 215 č. 1 2022 Elsevier