| bibtype |
J -
Journal Article
|
| ARLID |
0579645 |
| utime |
20250324101518.3 |
| mtime |
20231218235959.9 |
| SCOPUS |
85173461556 |
| WOS |
001074740400001 |
| DOI |
10.1017/prm.2023.101 |
| title
(primary) (eng) |
Nonlinear elasticity with vanishing nonlocal self-repulsion |
| specification |
| page_count |
18 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0257502 |
| ISSN |
0308-2105 |
| title
|
Proceedings of the Royal Society of Edinburgh. A - Mathematics |
| publisher |
| name |
Royal Society of Edinburgh |
|
|
| keyword |
nonlinear elasticity |
| keyword |
local injectivity |
| keyword |
global injectivity |
| keyword |
Ciarlet–Nečas condition |
| keyword |
nonlocal self-repulsion |
| keyword |
Sobolev–Slobodeckii seminorm |
| author
(primary) |
| ARLID |
cav_un_auth*0359168 |
| name1 |
Krömer |
| name2 |
Stefan |
| institution |
UTIA-B |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept (eng) |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department (eng) |
MTR |
| country |
DE |
| share |
50 |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0460023 |
| name1 |
Reiter |
| name2 |
P. |
| country |
DE |
| share |
50 |
| garant |
K |
|
| source |
|
| source |
|
| cas_special |
| project |
| project_id |
GF21-06569K |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0412957 |
|
| project |
| project_id |
GF19-29646L |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0385134 |
|
| abstract
(eng) |
We prove that for nonlinear elastic energies with strong enough energetic control of the outer distortion of admissible deformations, almost everywhere global invertibility as constraint can be obtained in the Γ -limit of the elastic energy with an added nonlocal self-repulsion term with asymptocially vanishing coefficient. The self-repulsion term considered here formally coincides with a Sobolev–Slobodeckiĭ seminorm of the inverse deformation. Variants near the boundary or on the surface of the domain are also studied.\n |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10102 |
| reportyear |
2026 |
| num_of_auth |
2 |
| inst_support |
RVO:67985556 |
| permalink |
https://hdl.handle.net/11104/0350577 |
| cooperation |
| ARLID |
cav_un_auth*0460025 |
| name |
Technische Universität Chemnitz |
| institution |
TU Chemnitz |
| country |
DE |
|
| confidential |
S |
| mrcbC91 |
C |
| mrcbT16-e |
MATHEMATICS|MATHEMATICSAPPLIED |
| mrcbT16-j |
0.885 |
| mrcbT16-s |
1.148 |
| mrcbT16-D |
Q1 |
| mrcbT16-E |
Q1 |
| arlyear |
2025 |
| mrcbU14 |
85173461556 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
001074740400001 WOS |
| mrcbU63 |
cav_un_epca*0257502 Proceedings of the Royal Society of Edinburgh. A - Mathematics 0308-2105 1473-7124 available online 2025 Royal Society of Edinburgh |
|