| bibtype |
J -
Journal Article
|
| ARLID |
0576561 |
| utime |
20240402214535.0 |
| mtime |
20231017235959.9 |
| SCOPUS |
85166623030 |
| WOS |
001023736600003 |
| DOI |
10.4171/AIHPC/51 |
| title
(primary) (eng) |
Existence results in large-strain magnetoelasticity |
| specification |
| page_count |
36 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0256124 |
| ISSN |
0294-1449 |
| title
|
Annales de l'Institut Henri Poincaré. Analyse non Linéaire |
| volume_id |
40 |
| volume |
3 (2023) |
| page_num |
557-592 |
| publisher |
|
|
| keyword |
magnetoelasticity |
| keyword |
Eulerian-Lagrangian variational problems |
| keyword |
rate-independent processes |
| author
(primary) |
| ARLID |
cav_un_auth*0456538 |
| name1 |
Bresciani |
| name2 |
M. |
| country |
AT |
| share |
33 |
| garant |
A |
|
| author
|
| ARLID |
cav_un_auth*0417358 |
| name1 |
Davoli |
| name2 |
E. |
| 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. |
|
| source |
|
| source |
|
| cas_special |
| project |
| project_id |
8J19AT013 |
| agency |
GA MŠk |
| country |
CZ |
| ARLID |
cav_un_auth*0385123 |
|
| project |
| project_id |
GF19-29646L |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0385134 |
|
| abstract
(eng) |
We investigate variational problems in large-strain magnetoelasticity, in both the static and the quasistatic settings. The model contemplates a mixed Eulerian–Lagrangian formulation: while deformations are defined on the reference configuration, magnetizations are defined on the deformed set in the actual space. In the static setting, we establish the existence of minimizers. In particular, we provide a compactness result for sequences of admissible states with equi-bounded energies which gives the convergence of the composition of magnetizations with deformations. In the quasistatic setting, we consider a notion of dissipation which is frame-indifferent and we show that the incremental minimization problem is solvable. Then we propose a regularization of the model in the spirit of gradient polyconvexity and we prove the existence of energetic solutions for the regularized model. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2024 |
| num_of_auth |
3 |
| inst_support |
RVO:67985556 |
| permalink |
https://hdl.handle.net/11104/0346491 |
| confidential |
S |
| mrcbC91 |
C |
| mrcbT16-e |
MATHEMATICSAPPLIED |
| mrcbT16-j |
2.107 |
| mrcbT16-s |
2.641 |
| mrcbT16-D |
Q1* |
| mrcbT16-E |
Q1* |
| arlyear |
2023 |
| mrcbU14 |
85166623030 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
001023736600003 WOS |
| mrcbU63 |
cav_un_epca*0256124 Annales de l'Institut Henri Poincaré. Analyse non Linéaire Roč. 40 č. 3 2023 557 592 0294-1449 1873-1430 EMS Press |
|