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Wang Tilings in Numerical Homogenization

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F15%3A00231094" target="_blank" >RIV/68407700:21110/15:00231094 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Wang Tilings in Numerical Homogenization

  • Original language description

    Wang tilings have been recently shown to bring novel insights to microstructure representation efforts generalizing the conventional unit-cell approach. It allows to reconstruct stochastic realizations of the compressed medium without prior periodic assumptions on microstructural patterns. Moreover, once the microstructure is compressed, realizations of various sizes can be generated at almost negligible cost.We follow the standard numerical homogenization procedure and utilize the Wang tiles-based microstructure representation to generate computational domains. In order to alleviate computational cost, ideas of domain decomposition are adopted benefiting from the repetitive patterns in the computational domains.

  • Czech name

  • Czech description

Classification

  • Type

    O - Miscellaneous

  • CEP classification

    JI - Composite materials

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA13-24027S" target="_blank" >GA13-24027S: Wang Tiling Compressions of Real World Material Systems</a><br>

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů