| bibtype |
J -
Journal Article
|
| ARLID |
0519027 |
| utime |
20240103223333.3 |
| mtime |
20200107235959.9 |
| SCOPUS |
85061900966 |
| WOS |
000511320000002 |
| DOI |
10.1007/s10957-019-01489-9 |
| title
(primary) (eng) |
Gradient Polyconvexity in Evolutionary Models of Shape-Memory Alloys |
| specification |
| page_count |
16 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0257061 |
| ISSN |
0022-3239 |
| title
|
Journal of Optimization Theory and Applications |
| volume_id |
184 |
| volume |
1 (2020) |
| page_num |
5-20 |
| publisher |
|
|
| keyword |
Gradient polyconvexity |
| keyword |
Invertibility of deformations |
| keyword |
Shape-memory alloys |
| author
(primary) |
| ARLID |
cav_un_auth*0101142 |
| name1 |
Kružík |
| name2 |
Martin |
| 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 |
| share |
34 |
| garant |
K |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0374200 |
| name1 |
Pelech |
| name2 |
P. |
| country |
CZ |
|
| author
|
| ARLID |
cav_un_auth*0374201 |
| name1 |
Schloemerkemper |
| name2 |
A. |
| country |
DE |
|
| source |
|
| source |
|
| cas_special |
| project |
| project_id |
GA17-04301S |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0347023 |
|
| project |
| project_id |
GA18-03834S |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0365435 |
|
| project |
| project_id |
GF16-34894L |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0331681 |
|
| abstract
(eng) |
We show the existence of an energetic solution to a model of shape-memory alloys in which the elastic energy is described by means of a gradient polyconvex functional. This allows us to show the existence of a solution based on weak continuity of nonlinear minors of deformation gradients in Sobolev spaces. Admissible deformations do not necessarily have integrable second derivatives. Under suitable assumptions, our model allows for solutions which are orientation preserving and globally injective everywhere in the domain representing the specimen. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2021 |
| num_of_auth |
3 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0304160 |
| confidential |
S |
| mrcbC86 |
3+4 Article Operations Research Management Science|Mathematics Applied |
| mrcbC91 |
C |
| mrcbT16-e |
MATHEMATICSAPPLIED|OPERATIONSRESEARCHMANAGEMENTSCIENCE |
| mrcbT16-i |
2.22862 |
| mrcbT16-j |
1.016 |
| mrcbT16-s |
1.109 |
| mrcbT16-B |
74.367 |
| mrcbT16-D |
Q2 |
| mrcbT16-E |
Q1 |
| arlyear |
2020 |
| mrcbU14 |
85061900966 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000511320000002 WOS |
| mrcbU63 |
cav_un_epca*0257061 Journal of Optimization Theory and Applications 0022-3239 1573-2878 Roč. 184 č. 1 2020 5 20 Springer |
|