| bibtype |
J -
Journal Article
|
| ARLID |
0481468 |
| utime |
20240103214945.0 |
| mtime |
20171116235959.9 |
| SCOPUS |
85043467628 |
| WOS |
000427147300005 |
| DOI |
10.1002/zamm.201700032 |
| title
(primary) (eng) |
On the existence of minimisers for strain-gradient single-crystal plasticity |
| specification |
| page_count |
17 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0257715 |
| ISSN |
0044-2267 |
| title
|
ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik |
| volume_id |
98 |
| volume |
3 (2018) |
| page_num |
431-447 |
| publisher |
|
|
| keyword |
existence of minimizers |
| keyword |
plasticity |
| author
(primary) |
| ARLID |
cav_un_auth*0353451 |
| share |
33 |
| name1 |
Anguige |
| name2 |
K. |
| country |
DE |
| garant |
K |
|
| author
|
| ARLID |
cav_un_auth*0353452 |
| share |
33 |
| name1 |
Dondl |
| name2 |
P. |
| country |
DE |
|
| author
|
| ARLID |
cav_un_auth*0101142 |
| name1 |
Kružík |
| name2 |
Martin |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department |
MTR |
| institution |
UTIA-B |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| project |
| ARLID |
cav_un_auth*0304434 |
| project_id |
GA14-15264S |
| agency |
GA ČR |
|
| project |
| ARLID |
cav_un_auth*0331681 |
| project_id |
GF16-34894L |
| agency |
GA ČR |
| country |
CZ |
|
| abstract
(eng) |
We prove the existence of minimisers for a family of models related to the single-slip-to-single-plane relaxation of single-crystal, strain-gradient elastoplasticity with L p -hardening penalty. In these relaxed models, where only one slip-plane normal can be activated at each material point, the main challenge is to show that the energy of geometrically necessary dislocations is lower-semicontinuous along bounded-energy sequences which satisfy the single-plane condition, meaning precisely that this side condition should be preserved in the weak L p -limit. This is done with the aid of an ‘exclusion’ lemma of Conti & Ortiz, which essentially allows one to put a lower bound on the dislocation energy at interfaces of (single-plane) slip patches, thus precluding fine phase-mixing in the limit. Furthermore, using div-curl techniques in the spirit of Mielke & Müller, we are able to show that the usual multiplicative decomposition of the deformation gradient into plastic and elastic parts interacts with weak convergence and the single-plane constraint in such a way as to guarantee lower-semicontinuityo fthe(polyconvex)elasticenergy,andhencethetotalelasto-plasticenergy, givensufficient(p > 2) hardening, thus delivering the desired result. |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2019 |
| num_of_auth |
3 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0277042 |
| mrcbC62 |
1 |
| confidential |
S |
| mrcbC86 |
3+4 Article Mathematics Applied|Mechanics |
| mrcbT16-e |
MATHEMATICSAPPLIED|MECHANICS |
| mrcbT16-j |
0.469 |
| mrcbT16-s |
0.590 |
| mrcbT16-B |
29.762 |
| mrcbT16-D |
Q3 |
| mrcbT16-E |
Q2 |
| arlyear |
2018 |
| mrcbU14 |
85043467628 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000427147300005 WOS |
| mrcbU63 |
cav_un_epca*0257715 ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik 0044-2267 1521-4001 Roč. 98 č. 3 2018 431 447 Wiley |
|