| bibtype |
J -
Journal Article
|
| ARLID |
0508975 |
| utime |
20240103222624.3 |
| mtime |
20190930235959.9 |
| SCOPUS |
85067794662 |
| WOS |
000486834200016 |
| DOI |
10.1177/1081286519851554 |
| title
(primary) (eng) |
Global injectivity in second-gradient Nonlinear Elasticity and its approximation with penalty terms |
| specification |
| page_count |
37 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0254274 |
| ISSN |
1081-2865 |
| title
|
Mathematics and Mechanics of Solids |
| volume_id |
24 |
| volume |
11 (2019) |
| page_num |
3644-3673 |
| publisher |
|
|
| keyword |
nonlinear elasticity |
| keyword |
global injectivity |
| keyword |
local injectivity |
| keyword |
nonsimple materials |
| keyword |
Ciarlet-Necas-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 |
| ARLID |
cav_un_auth*0365435 |
| project_id |
GA18-03834S |
| agency |
GA ČR |
|
| abstract
(eng) |
We present a new penalty term approximating the Ciarlet-Nečas condition (global invertibility of deformations) as a soft constraint for hyperelastic materials. For non-simple materials including a suitable higher order term in the elastic energy, we prove that the penalized functionals converge to the original functional subject to the Ciarlet-Nečas condition. Moreover, the penalization can be chosen in such a way that for all low energy deformations, self-interpenetration is completely avoided already at all sufficiently small finite values of the penalization parameter. We also present numerical experiments in 2d illustrating our theoretical results. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10102 |
| reportyear |
2020 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0299806 |
| confidential |
S |
| mrcbC86 |
3+4 Proceedings Paper Engineering Biomedical|Radiology Nuclear Medicine Medical Imaging |
| mrcbC91 |
C |
| mrcbT16-e |
MATERIALSSCIENCEMULTIDISCIPLINARY|MATHEMATICSINTERDISCIPLINARYAPPLICATIONS|MECHANICS |
| mrcbT16-j |
0.492 |
| mrcbT16-s |
0.626 |
| mrcbT16-B |
34.203 |
| mrcbT16-D |
Q3 |
| mrcbT16-E |
Q4 |
| arlyear |
2019 |
| mrcbU14 |
85067794662 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000486834200016 WOS |
| mrcbU63 |
cav_un_epca*0254274 Mathematics and Mechanics of Solids 1081-2865 1741-3028 Roč. 24 č. 11 2019 3644 3673 Sage |
|