| bibtype |
J -
Journal Article
|
| ARLID |
0493142 |
| utime |
20240103220442.7 |
| mtime |
20180910235959.9 |
| SCOPUS |
85051427686 |
| WOS |
000441283500013 |
| DOI |
10.1007/s00161-018-0671-5 |
| title
(primary) (eng) |
Quasistatic elastoplasticity via Peridynamics: existence and localization |
| specification |
| page_count |
30 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0252589 |
| ISSN |
0935-1175 |
| title
|
Continuum Mechanics and Thermodynamics |
| volume_id |
30 |
| volume |
5 (2018) |
| page_num |
1155-1184 |
| publisher |
|
|
| keyword |
Peridynamics |
| keyword |
Elastoplasticity |
| keyword |
Variational formulation |
| author
(primary) |
| ARLID |
cav_un_auth*0101142 |
| 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 |
33,3 |
| name1 |
Kružík |
| name2 |
Martin |
| institution |
UTIA-B |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0363743 |
| share |
33,3 |
| name1 |
Mora-Corral |
| name2 |
C. |
| country |
ES |
|
| author
|
| ARLID |
cav_un_auth*0316230 |
| name1 |
Stefanelli |
| name2 |
U. |
| country |
AT |
|
| source |
|
| cas_special |
| project |
| ARLID |
cav_un_auth*0342514 |
| project_id |
7AMB16AT015 |
| agency |
GA MŠk |
| country |
CZ |
|
| project |
| project_id |
GF16-34894L |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0331681 |
|
| abstract
(eng) |
Peridynamics is a nonlocal continuum mechanical theory based on minimal regularity on the deformations. Its key trait is that of replacing local constitutive relations featuring spacial differential operators with integrals over differences of displacement fields over a suitable positive interaction range. The advantage of such perspective is that of directly including nonregular situations, in which discontinuities in the displacement field may occur. In the linearized elastic setting, the mechanical foundation of the theory and its mathematical amenability have been thoroughly analyzed in the last years. We present here the extension of Peridynamics to linearized elastoplasticity. This calls for considering the time evolution of elastic and plastic variables, as the effect of a combination of elastic energy storage and plastic energy dissipation mechanisms. The quasistatic evolution problem is variationally reformulated and solved by time discretization. In addition, by a rigorous evolutive Γ -convergence argument we prove that the nonlocal peridynamic model converges to classic local elastoplasticity as the interaction range goes to zero. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2019 |
| num_of_auth |
3 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0287000 |
| mrcbC62 |
1 |
| confidential |
S |
| mrcbC86 |
3+4 Article Thermodynamics|Mechanics |
| mrcbT16-e |
MECHANICS|THERMODYNAMICS |
| mrcbT16-j |
0.529 |
| mrcbT16-s |
0.774 |
| mrcbT16-B |
35.055 |
| mrcbT16-D |
Q3 |
| mrcbT16-E |
Q2 |
| arlyear |
2018 |
| mrcbU14 |
85051427686 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000441283500013 WOS |
| mrcbU63 |
cav_un_epca*0252589 Continuum Mechanics and Thermodynamics 0935-1175 1432-0959 Roč. 30 č. 5 2018 1155 1184 Springer |
|