| bibtype |
J -
Journal Article
|
| ARLID |
0600100 |
| utime |
20250207134543.1 |
| mtime |
20241101235959.9 |
| SCOPUS |
85201830198 |
| WOS |
001293163900001 |
| DOI |
10.1177/10812865241263788 |
| title
(primary) (eng) |
Finite-strain Poynting-Thomson model: Existence and linearization |
| specification |
| page_count |
35 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0254274 |
| ISSN |
1081-2865 |
| title
|
Mathematics and Mechanics of Solids |
| publisher |
|
|
| keyword |
Poynting–Thomson model |
| keyword |
variational approach |
| keyword |
existence |
| keyword |
linearization |
| author
(primary) |
| ARLID |
cav_un_auth*0475406 |
| name1 |
Chiesa |
| name2 |
A. |
| country |
AT |
|
| 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*0316230 |
| name1 |
Stefanelli |
| name2 |
U. |
| country |
AT |
| garant |
K |
|
| source |
|
| cas_special |
| project |
| project_id |
GF21-06569K |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0412957 |
|
| project |
| project_id |
8J23AT008 |
| agency |
GA MŠk |
| country |
CZ |
| ARLID |
cav_un_auth*0449358 |
|
| abstract
(eng) |
We analyze the finite-strain Poynting–Thomson viscoelastic model. In its linearized small-deformation limit, this corresponds to the serial connection of an elastic spring and a Kelvin–Voigt viscoelastic element. In the finite-strain case, the total deformation of the body results from the composition of two maps, describing the deformation of the viscoelastic element and the elastic one, respectively. We prove the existence of suitably weak solutions by a time-discretization approach based on incremental minimization. Moreover, we prove a rigorous linx earization result, showing that the corresponding small-strain model is indeed recovered in the small-loading limit. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2025 |
| inst_support |
RVO:67985556 |
| permalink |
https://hdl.handle.net/11104/0357460 |
| confidential |
S |
| mrcbC91 |
A |
| mrcbT16-e |
MATERIALSSCIENCEMULTIDISCIPLINARY|MATHEMATICSINTERDISCIPLINARYAPPLICATIONS|MECHANICS |
| mrcbT16-j |
0.457 |
| mrcbT16-s |
0.583 |
| mrcbT16-D |
Q4 |
| mrcbT16-E |
Q3 |
| arlyear |
2025 |
| mrcbU14 |
85201830198 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
001293163900001 WOS |
| mrcbU63 |
cav_un_epca*0254274 Mathematics and Mechanics of Solids 2025 1081-2865 1741-3028 Sage |
|