Synthesized Micromechanical Fields Based on the Synergy of Wang Tiles and FEM
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F16%3A00242924" target="_blank" >RIV/68407700:21110/16:00242924 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Synthesized Micromechanical Fields Based on the Synergy of Wang Tiles and FEM
Original language description
In 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 non-local character of mechanical quantities the resulting field contain 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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
JN - Civil engineering
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Engineering Mechanics 2016 - Book of full texts
ISBN
978-80-87012-59-8
ISSN
1805-8248
e-ISSN
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Number of pages
4
Pages from-to
622-625
Publisher name
Institute of Thermomechanics, AS CR, v.v.i.
Place of publication
Prague
Event location
Svratka
Event date
May 9, 2016
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000379986700152