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From Random Microstructures to Representative Volume Elements

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F07%3A01136333" target="_blank" >RIV/68407700:21110/07:01136333 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    From Random Microstructures to Representative Volume Elements

  • Original language description

    A unified treatment of random microstructures proposed in this contribution opens the way to efficient solutions of large-scale real world problems. The paper introduces a notion of statistically equivalent periodic unit cell (SEPUC) that replaces in a computational step the actual complex geometries on an arbitrary scale. A SEPUC is constructed such that its morphology conforms with images of real microstructures. Here, the appreciated two-point probability function and the lineal path function are employed to classify, from the statistical point of view, the geometrical arrangement of various material systems. Examples of statistically equivalent unit cells constructed for a unidirectional fibre tow, a plain weave textile composite and an irregular-coursed masonry wall are given.

  • Czech name

    Od náhodných mikrostruktur k reprezentativním objemům

  • Czech description

    V tomto příspěvku je představen jednotný přístup založený na konceptu staticky ekvivalentní jednotkové buňky. Jsou ilustrovány aplikace na analýzu skutečných kompozitů i jejich výstižnost z hlediska efektivních vlastností.

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    JI - Composite materials

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GP103%2F04%2FP254" target="_blank" >GP103/04/P254: Effective algorihtms for numerical simulation of heterogeneous materials</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2007

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Modelling and Simulation in Materials Science and Engineering

  • ISSN

    0965-0393

  • e-ISSN

  • Volume of the periodical

    15

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    11

  • Pages from-to

    "S325"-"S335"

  • UT code for WoS article

  • EID of the result in the Scopus database