000012521 001__ 12521
000012521 005__ 20160816141450.0
000012521 04107 $$aeng
000012521 046__ $$k2016-05-09
000012521 100__ $$aZrůbek, L.
000012521 24500 $$aSYNTHESIZED MICROMECHANICAL FIELDS BASED ON THE SYNERGY OF WANG TILES AND FEM

000012521 24630 $$n22.$$pEngineering Mechanics 2016
000012521 260__ $$bInstitute of Thermomechanics AS CR, v.v.i., Praha
000012521 506__ $$arestricted
000012521 520__ $$2eng$$aIn this contribution, we present the concept of replacing periodic unit cell (PUC) with a set of specifically designed cells and their utilization for modeling of materials with heterogeneous microstructures and for reconstruction of micromechanical fields. The approach is based on the Wang tiles method that compresses the stochastic microstructure into a small set of statistical volume elements – tiles. Tiles are placed side by side according to matching edge codes like in a game domino. Using the stochastic tiling algorithms the microstructure of arbitrarily large domain is recreated and opposite to the repeating pattern of PUC it preserves its randomness. To obtain the mechanical response of whole domain, the micromechanical quantities are evaluated only on tiles and then synthesized back. But because of the nonlocal character of mechanical quantities the resulting field contains jumps between adjacent tiles. To prevent this phenomenon, the surrounding layers of tiles of each addressed tile are included into the evaluation. In our latest work, we are focused on how the characteristic microstructural lengths influence the convenient size of individual tiles and how the number of included layers of tiles affects the resulting error between the synthesized and reference micromechanical field.

000012521 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000012521 653__ $$aHeterogeneous microstructures, Wang tiles, Synthesized Micromechanical Fields, Finite Element Method.

000012521 7112_ $$aEngineering Mechanics 2016$$cSvratka, CZ$$d2016-05-09 / 2016-05-12$$gEM2016
000012521 720__ $$aZrůbek, L.$$iKučerová, A.$$iNovák, J.
000012521 8560_ $$ffischerc@itam.cas.cz
000012521 8564_ $$s449218$$uhttps://invenio.itam.cas.cz/record/12521/files/151bo_o_sol.pdf$$yOriginal version of the author's contribution as presented on CD, id 151, section SOL.
000012521 962__ $$r12369
000012521 980__ $$aPAPER