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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

  • DOI - Digital Object Identifier

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

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    JN - Civil engineering

  • OECD FORD branch

Result continuities

  • Project

  • 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

  • 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