Micromechanical quantities based on Wang tiles with local tilings

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F17%3A00323814" target="_blank" >RIV/68407700:21110/17:00323814 - 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
Micromechanical quantities based on Wang tiles with local tilings
Original language description
The Wang tiles method 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 our work, we focus on the fluctuation fields that are obtained as the main tiling reconstructed from the micro-mechanical quantities evaluated on individual tiles. However, 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
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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