Synthesized Fields Fluctuations by Means of Wang Tiles and Local Tilings

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F16%3A00305430" target="_blank" >RIV/68407700:21110/16:00305430 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Synthesized Fields Fluctuations by Means of Wang Tiles and Local Tilings
Original language description
In this paper, we present the concept of the Wang tiles method that compresses the stochastic microstructure into a small set of statistical volume elements – tiles. These tiles are then used for modeling of materials with heterogeneous stochastic microstructures and to streamline the calculations on the micro-scale level. In the following text, we focus on the fluctuation fields that are obtained as the main tiling reconstructed from the micro-mechanical quantities evaluated on individual tiles. But because of the non-local character of mechanical quantities the synthesized fluctuation field contain jumps between adjacent tiles. To prevent this phenomenon, the nearest surrounding tiles are included into the evaluation for each tile from the main tiling. Then the mechanical response is solved on these small so-called local tilings and results for middle tiles are saved. The main tiling is then synthesized using these results and further can be utilized as an enrichment functions for the finite element method.
Czech name
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Czech description
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Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Modern Methods of Experimental and Computational Investigations in Area of Construction II
ISBN
978-3-0357-1092-2
ISSN
1022-6680
e-ISSN
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Number of pages
6
Pages from-to
178-183
Publisher name
Trans Tech Publications Inc.
Place of publication
Pfaffikon
Event location
Praha
Event date
Sep 22, 2016
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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