| bibtype |
J -
Journal Article
|
| ARLID |
0575785 |
| utime |
20240402214441.7 |
| mtime |
20230925235959.9 |
| SCOPUS |
85163035626 |
| WOS |
001163618200001 |
| DOI |
10.1016/j.apm.2023.06.018 |
| title
(primary) (eng) |
Surface penalization of self-interpenetration in linear and nonlinear elasticity |
| specification |
| page_count |
24 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0252056 |
| ISSN |
0307-904X |
| title
|
Applied Mathematical Modelling |
| volume_id |
122 |
| volume |
1 (2023) |
| page_num |
641-664 |
| publisher |
|
|
| keyword |
Elasticity |
| keyword |
Global injectivity and self-contact |
| keyword |
Locking constraints |
| keyword |
Nonsimple materials |
| keyword |
Ciarlet-Nečas-condition |
| keyword |
Approximation |
| 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 |
| full_dept |
Department of Decision Making Theory |
| country |
DE |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0292941 |
| name1 |
Valdman |
| name2 |
Jan |
| 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 |
GF21-06569K |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0412957 |
|
| abstract
(eng) |
We analyze a term penalizing surface self-penetration, as a soft constraint for models of hyperelastic materials to approximate the Ciarlet-Nečas condition (almost everywhere global invertibility of deformations). For a linear elastic energy subject to an additional local invertibility constraint, we prove that the penalized elastic functionals converge to the original functional subject to the Ciarlet-Nečas condition. The approach also works for nonlinear models of non-simple materials including a suitable higher order term in the elastic energy, without artificial local constraints. Numerical experiments illustrate our results for a self-contact problem in 3d. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10102 |
| reportyear |
2024 |
| num_of_auth |
2 |
| inst_support |
RVO:67985556 |
| permalink |
https://hdl.handle.net/11104/0345508 |
| confidential |
S |
| mrcbC91 |
B 20250816 |
| mrcbT16-e |
ENGINEERINGMULTIDISCIPLINARY|MATHEMATICSINTERDISCIPLINARYAPPLICATIONS|MECHANICS |
| mrcbT16-j |
0.873 |
| mrcbT16-s |
1.08 |
| mrcbT16-D |
Q2 |
| mrcbT16-E |
Q2 |
| arlyear |
2023 |
| mrcbU14 |
85163035626 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
001163618200001 WOS |
| mrcbU63 |
cav_un_epca*0252056 Applied Mathematical Modelling Roč. 122 č. 1 2023 641 664 0307-904X 1872-8480 Elsevier |
|