WANG TILES LOCAL TILINGS CREATED BY MERGING EDGE-COMPATIBLE FINITE ELEMENT MESHES
In this contribution, we present the concept of Wang Tiles as a surrogate of the periodic unit cell method (PUC) for modelling of materials with heterogeneous microstructures and for synthesis of micro-mechanical fields. The concept is based on a set of specifically designed cells that compresses th...
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Czech Technical University in Prague
2017-11-01
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| Series: | Acta Polytechnica CTU Proceedings |
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| Online Access: | https://ojs.cvut.cz/ojs/index.php/APP/article/view/4660 |
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| author | Lukáš Zrůbek Anna Kučerová Martin Doškář |
| author_facet | Lukáš Zrůbek Anna Kučerová Martin Doškář |
| author_sort | Lukáš Zrůbek |
| collection | DOAJ |
| description | In this contribution, we present the concept of Wang Tiles as a surrogate of the periodic unit cell method (PUC) for modelling of materials with heterogeneous microstructures and for synthesis of micro-mechanical fields. The concept is based on a set of specifically designed cells that compresses the stochastic microstructure into a small set of statistical volume elements – tiles. Tiles are placed side by side according to matching edges like in a game of domino. Opposite to the repeating pattern of PUC the Wang Tiles method with the stochastic tiling algorithm preserves the randomness for reconstructed microstructures. The same process is applied to obtain the micro-mechanical response of domains where the evaluation as one piece would be time consuming. Therefore the micro-mechanical quantities are evaluated only on tiles (with surrounding layers of tiles of each addressed tile included into the evaluation) and then synthesized to the micro-mechanical field of whole domain. |
| format | Article |
| id | doaj-art-d6615b87674b4bef84a606bca05c2927 |
| institution | Kabale University |
| issn | 2336-5382 |
| language | English |
| publishDate | 2017-11-01 |
| publisher | Czech Technical University in Prague |
| record_format | Article |
| series | Acta Polytechnica CTU Proceedings |
| spelling | doaj-art-d6615b87674b4bef84a606bca05c29272025-08-20T03:57:39ZengCzech Technical University in PragueActa Polytechnica CTU Proceedings2336-53822017-11-0113016116410.14311/APP.2017.13.01624026WANG TILES LOCAL TILINGS CREATED BY MERGING EDGE-COMPATIBLE FINITE ELEMENT MESHESLukáš Zrůbek0Anna Kučerová1Martin Doškář2Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, 166 29 Prague 6, Czech RepublicDepartment of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, 166 29 Prague 6, Czech RepublicDepartment of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, 166 29 Prague 6, Czech RepublicIn this contribution, we present the concept of Wang Tiles as a surrogate of the periodic unit cell method (PUC) for modelling of materials with heterogeneous microstructures and for synthesis of micro-mechanical fields. The concept is based on a set of specifically designed cells that compresses the stochastic microstructure into a small set of statistical volume elements – tiles. Tiles are placed side by side according to matching edges like in a game of domino. Opposite to the repeating pattern of PUC the Wang Tiles method with the stochastic tiling algorithm preserves the randomness for reconstructed microstructures. The same process is applied to obtain the micro-mechanical response of domains where the evaluation as one piece would be time consuming. Therefore the micro-mechanical quantities are evaluated only on tiles (with surrounding layers of tiles of each addressed tile included into the evaluation) and then synthesized to the micro-mechanical field of whole domain.https://ojs.cvut.cz/ojs/index.php/APP/article/view/4660Heterogeneous Microstructures, Wang Tiles, Micro-mechanical Fields, Local Tiling, Finite |
| spellingShingle | Lukáš Zrůbek Anna Kučerová Martin Doškář WANG TILES LOCAL TILINGS CREATED BY MERGING EDGE-COMPATIBLE FINITE ELEMENT MESHES Acta Polytechnica CTU Proceedings Heterogeneous Microstructures, Wang Tiles, Micro-mechanical Fields, Local Tiling, Finite |
| title | WANG TILES LOCAL TILINGS CREATED BY MERGING EDGE-COMPATIBLE FINITE ELEMENT MESHES |
| title_full | WANG TILES LOCAL TILINGS CREATED BY MERGING EDGE-COMPATIBLE FINITE ELEMENT MESHES |
| title_fullStr | WANG TILES LOCAL TILINGS CREATED BY MERGING EDGE-COMPATIBLE FINITE ELEMENT MESHES |
| title_full_unstemmed | WANG TILES LOCAL TILINGS CREATED BY MERGING EDGE-COMPATIBLE FINITE ELEMENT MESHES |
| title_short | WANG TILES LOCAL TILINGS CREATED BY MERGING EDGE-COMPATIBLE FINITE ELEMENT MESHES |
| title_sort | wang tiles local tilings created by merging edge compatible finite element meshes |
| topic | Heterogeneous Microstructures, Wang Tiles, Micro-mechanical Fields, Local Tiling, Finite |
| url | https://ojs.cvut.cz/ojs/index.php/APP/article/view/4660 |
| work_keys_str_mv | AT lukaszrubek wangtileslocaltilingscreatedbymergingedgecompatiblefiniteelementmeshes AT annakucerova wangtileslocaltilingscreatedbymergingedgecompatiblefiniteelementmeshes AT martindoskar wangtileslocaltilingscreatedbymergingedgecompatiblefiniteelementmeshes |