| bibtype |
J -
Journal Article
|
| ARLID |
0617916 |
| utime |
20250320140147.4 |
| mtime |
20250311235959.9 |
| SCOPUS |
85215927126 |
| WOS |
001398536700001 |
| DOI |
10.1142/S0218202525500010 |
| title
(primary) (eng) |
Non-interpenetration of rods derived by Γ-limits |
| specification |
| page_count |
38 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0257225 |
| ISSN |
0218-2025 |
| title
|
Mathematical Models and Methods in Applied Sciences |
| volume_id |
35 |
| volume |
1 (2025) |
| page_num |
1-38 |
| publisher |
| name |
World Scientific Publishing |
|
|
| keyword |
non-interpenetration |
| keyword |
rod |
| keyword |
relaxation |
| author
(primary) |
| ARLID |
cav_un_auth*0293070 |
| name1 |
Benešová |
| name2 |
B. |
| country |
CZ |
|
| author
|
| ARLID |
cav_un_auth*0485039 |
| name1 |
Campbell |
| name2 |
D. |
| country |
CZ |
|
| author
|
| ARLID |
cav_un_auth*0255318 |
| name1 |
Hencl |
| name2 |
S. |
| country |
CZ |
|
| 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 |
| share |
25 |
| garant |
K |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| source |
|
| cas_special |
| project |
| project_id |
8J23AT009 |
| agency |
GA MŠk |
| country |
CZ |
| ARLID |
cav_un_auth*0451788 |
|
| project |
| project_id |
8J22AT017 |
| agency |
GA MŠk |
| country |
CZ |
| ARLID |
cav_un_auth*0456541 |
|
| project |
| project_id |
GA23-04766S |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0459138 |
|
| abstract
(eng) |
Ensuring non-interpenetration of matter is a fundamental prerequisite when modeling the deformation response of solid materials. In this contribution, we thoroughly examine how this requirement, equivalent to the injectivity of deformations within bulk structures, manifests itself in dimensional-reduction problems. Specifically, we focus on the case of rods embedded in a two-dimensional plane. Our results focus on Gamma-limits of energy functionals that enforce an admissible deformation to be a homeomorphism. These Gamma-limits are evaluated along a passage from the bulk configuration to the rod arrangement. The proofs rely on the equivalence between the weak and strong closures of the set of homeomorphisms from & Ropf, to & Ropf, (2), a result that is of independent interest and that we establish in this paper, too. |
| reportyear |
2026 |
| RIV |
BA |
| result_subspec |
WOS |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10102 |
| num_of_auth |
4 |
| inst_support |
RVO:67985556 |
| permalink |
https://hdl.handle.net/11104/0364930 |
| confidential |
S |
| mrcbC91 |
C |
| mrcbT16-e |
MATHEMATICSAPPLIED |
| mrcbT16-j |
1.82 |
| mrcbT16-s |
2.167 |
| mrcbT16-D |
Q1* |
| mrcbT16-E |
Q1* |
| arlyear |
2025 |
| mrcbU14 |
85215927126 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
001398536700001 WOS |
| mrcbU63 |
cav_un_epca*0257225 Mathematical Models and Methods in Applied Sciences Roč. 35 č. 1 2025 1 38 0218-2025 1793-6314 World Scientific Publishing |
|