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Micro-scale Quantities in Heterogeneous Stochastic Microstructures by Means of Wang Tiles

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F16%3A00305433" target="_blank" >RIV/68407700:21110/16:00305433 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Micro-scale Quantities in Heterogeneous Stochastic Microstructures by Means of Wang Tiles

  • 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 microstructures and for reconstruction of fluctuation fields. The micro-mechanical quantities are evaluated only on individual 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, creating so called local tiling for each currently solved tile.

  • Czech name

  • Czech description

Classification

  • Type

    O - Miscellaneous

  • CEP classification

    JM - Structural engineering

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2016

  • Confidentiality

    C - Předmět řešení projektu podléhá obchodnímu tajemství (§ 504 Občanského zákoníku), ale název projektu, cíle projektu a u ukončeného nebo zastaveného projektu zhodnocení výsledku řešení projektu (údaje P03, P04, P15, P19, P29, PN8) dodané do CEP, jsou upraveny tak, aby byly zveřejnitelné.