| bibtype |
J -
Journal Article
|
| ARLID |
0523776 |
| utime |
20240103223948.8 |
| mtime |
20200414235959.9 |
| WOS |
000535725100005 |
| SCOPUS |
85083079955 |
| DOI |
10.1016/j.ijsolstr.2020.03.006 |
| title
(primary) (eng) |
Gradient polyconvex material models and their numerical treatment |
| specification |
| page_count |
9 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0253437 |
| ISSN |
0020-7683 |
| title
|
International Journal of Solids and Structures |
| volume_id |
195 |
| volume |
1 (2020) |
| page_num |
57-65 |
| publisher |
|
|
| keyword |
Gradient polyconvexity |
| keyword |
Microstructure formation |
| keyword |
Nonlinear elasticity |
| author
(primary) |
| ARLID |
cav_un_auth*0084149 |
| share |
50 |
| name1 |
Horák |
| name2 |
M. |
| country |
CZ |
|
| author
|
| ARLID |
cav_un_auth*0101142 |
| full_dept |
Department of Decision Making Theory |
| share |
50 |
| 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 |
| garant |
K |
| 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) |
Gradient polyconvex materials are nonsimple materials where we do not assume smoothness of the elastic strain but instead regularity of minors of the strain is required. This allows for a larger class of admissible deformations than in the case of second-grade materials.\nWe describe a possible implementation of gradient polyconvex elastic energies in nonlinear finite strain elastostatics. Besides, a new geometric interpretation of gradient-polyconvexity is given and it is compared with standard second-grade materials. Finally, we demonstrate application of the proposed approach using two different models, namely, a St.-Venant Kirchhoff material and a double well stored energy density. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10102 |
| reportyear |
2021 |
| num_of_auth |
2 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0308089 |
| mrcbC62 |
1 |
| confidential |
S |
| mrcbC86 |
3+4 Article Mechanics |
| mrcbC91 |
C |
| mrcbT16-e |
MECHANICS |
| mrcbT16-i |
3.71819 |
| mrcbT16-j |
0.922 |
| mrcbT16-s |
1.229 |
| mrcbT16-B |
62.183 |
| mrcbT16-D |
Q2 |
| mrcbT16-E |
Q1 |
| arlyear |
2020 |
| mrcbU14 |
85083079955 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000535725100005 WOS |
| mrcbU63 |
cav_un_epca*0253437 International Journal of Solids and Structures 0020-7683 1879-2146 Roč. 195 č. 1 2020 57 65 Elsevier |
|