| bibtype |
J -
Journal Article
|
| ARLID |
0507079 |
| utime |
20240103222340.1 |
| mtime |
20190731235959.9 |
| SCOPUS |
85044481731 |
| WOS |
000432510300024 |
| DOI |
10.1016/j.euromechsol.2017.12.002 |
| title
(primary) (eng) |
Wang tiling aided statistical determination of the Representative Volume Element size of random heterogeneous materials |
| specification |
| page_count |
16 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0256567 |
| ISSN |
0997-7538 |
| title
|
European Journal of Mechanics A-Solids |
| volume_id |
70 |
| volume |
1 (2018) |
| page_num |
280-295 |
| publisher |
|
|
| keyword |
Wang tiling |
| keyword |
Numerical homogenization |
| keyword |
Representative Volume Element size |
| author
(primary) |
| ARLID |
cav_un_auth*0377780 |
| share |
25 |
| name1 |
Doskar |
| name2 |
M. |
| country |
CZ |
| garant |
K |
|
| author
|
| ARLID |
cav_un_auth*0357917 |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department |
MTR |
| share |
25 |
| name1 |
Zeman |
| name2 |
Jan |
| institution |
UTIA-B |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0377781 |
| share |
25 |
| name1 |
Jaruskova |
| name2 |
D. |
| country |
CZ |
|
| author
|
| ARLID |
cav_un_auth*0022360 |
| share |
25 |
| name1 |
Novák |
| name2 |
J. |
| country |
CZ |
|
| source |
|
| source |
|
| cas_special |
| project |
| ARLID |
cav_un_auth*0347023 |
| project_id |
GA17-04301S |
| agency |
GA ČR |
|
| abstract
(eng) |
Wang tile based representation of a heterogeneous material facilitates fast synthesis of non-periodic microstructure realizations. In this paper, we apply the tiling approach in numerical homogenization to determine the\nRepresentative Volume Element size related to the user-defined significance level and the discrepancy between bounds on the apparent properties. First, the tiling concept is employed to efficiently generate arbitrarily large, statistically consistent realizations of investigated microstructures. Second, benefiting from the regular structure inherent to the tiling concept, the Partition theorem, and statistical sampling, we construct confidence intervals of the apparent properties related to the size of a microstructure specimen. Based on the interval width and the upper and lower bounds on the apparent properties, we adaptively generate additional microstructure realizations in order to arrive at an RVE satisfying the prescribed tolerance. The methodology is illustrated with the homogenization of thermo-mechanical properties of three two-dimensional microstructure models: a microstructure with mono-disperse elliptic inclusions, foam, and sandstone. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10103 |
| reportyear |
2020 |
| num_of_auth |
4 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0298166 |
| confidential |
S |
| mrcbC86 |
2 Article Mechanics |
| mrcbC91 |
C |
| mrcbT16-e |
MECHANICS |
| mrcbT16-j |
0.788 |
| mrcbT16-s |
1.389 |
| mrcbT16-B |
60.886 |
| mrcbT16-D |
Q2 |
| mrcbT16-E |
Q1 |
| arlyear |
2018 |
| mrcbU14 |
85044481731 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000432510300024 WOS |
| mrcbU63 |
cav_un_epca*0256567 European Journal of Mechanics A-Solids 0997-7538 1873-7285 Roč. 70 č. 1 2018 280 295 Elsevier |
|