| bibtype |
J -
Journal Article
|
| ARLID |
0392444 |
| utime |
20240103202549.5 |
| mtime |
20130611235959.9 |
| WOS |
000319665800003 |
| DOI |
10.3934/nhm.2013.8.481 |
| title
(primary) (eng) |
Domain patterns and hysteresis in phase-transforming solids: analysis and numerical simulations of a sharp interface dissipative model via phase-field approximation |
| specification |
| page_count |
19 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0082537 |
| ISSN |
1556-1801 |
| title
|
Networks and Heterogeneous Media |
| volume_id |
8 |
| volume |
2 (2013) |
| page_num |
481-499 |
|
| keyword |
hysteresis |
| keyword |
shape memory |
| author
(primary) |
| ARLID |
cav_un_auth*0291738 |
| name1 |
DeSimone |
| name2 |
A. |
| country |
IT |
|
| 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 |
| share |
50 |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| project |
| project_id |
GAP201/12/0671 |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0289475 |
|
| abstract
(eng) |
We propose a sharp-interface model which describes rate-independent hysteresis in phase-transforming solids (such as shape memory alloys) by resolving explicitly domain patterns and their dissipative evolution. We show that the governing Gibbs' energy functional is the $/Gamma$-limit of a family of regularized Gibbs' energies obtained through a phase-field approximation. This leads to the convergence of the solution of the quasistatic evolution problem associated with the regularized energy to the one corresponding to the sharp interface model. Based on this convergence result, we propose a numerical scheme which allows us to simulate mechanical experiments for both spatially homogeneous and heterogeneous samples. We use the latter to assess the role that impurities and defects may have in determining the response exhibited by real samples. In particular, our numerical results indicate that small heterogeneities are essential in order to obtain spatially localized nucleation of a new martensitic variant from a pre-existing one in stress-controlled experiments. |
| reportyear |
2014 |
| RIV |
BA |
| num_of_auth |
2 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0221747 |
| mrcbT16-e |
MATHEMATICSINTERDISCIPLINARYAPPLICATIONS |
| mrcbT16-f |
0.995 |
| mrcbT16-g |
0.065 |
| mrcbT16-h |
4.IX |
| mrcbT16-i |
0.00242 |
| mrcbT16-j |
0.734 |
| mrcbT16-k |
311 |
| mrcbT16-l |
46 |
| mrcbT16-s |
0.731 |
| mrcbT16-z |
ScienceCitationIndexExpanded |
| mrcbT16-4 |
Q1 |
| mrcbT16-B |
79.572 |
| mrcbT16-C |
40.526 |
| mrcbT16-D |
Q1 |
| mrcbT16-E |
Q2 |
| arlyear |
2013 |
| mrcbU34 |
000319665800003 WOS |
| mrcbU63 |
cav_un_epca*0082537 Networks and Heterogeneous Media 1556-1801 1556-181X Roč. 8 č. 2 2013 481 499 |
|