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Homogenization of discrete diffusion models by asymptotic expansion

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F22%3APU145185" target="_blank" >RIV/00216305:26110/22:PU145185 - isvavai.cz</a>

  • Result on the web

    <a href="https://onlinelibrary.wiley.com/doi/full/10.1002/nag.3441" target="_blank" >https://onlinelibrary.wiley.com/doi/full/10.1002/nag.3441</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1002/nag.3441" target="_blank" >10.1002/nag.3441</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Homogenization of discrete diffusion models by asymptotic expansion

  • Original language description

    Diffusion behaviors of heterogeneous materials are of paramount importance in many engineering problems. Numerical models that take into account the internal structure of such materials are robust but computationally very expensive. This burden can be partially decreased by using discrete models, however even then the practical application is limited to relatively small material volumes. This paper formulates a homogenization scheme for discrete diffusion models. Asymptotic expansion homogenization is applied to distinguish between (i) the continuous macroscale description approximated by the standard finite element method and (ii) the fully resolved discrete mesoscale description in a local representative volume element (RVE) of material. Both transient and steady-state variants with nonlinear constitutive relations are discussed. In all the cases, the resulting discrete RVE problem becomes a simple linear steady-state problem that can be easily pre-computed. The scale separation provides a significant reduction of computational time allowing the solution of practical problems with a~negligible error introduced mainly by the finite element discretization at the macroscale.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    20101 - Civil engineering

Result continuities

  • Project

    <a href="/en/project/GA19-12197S" target="_blank" >GA19-12197S: Coupled Discrete Meso-scale Model for Mechanics and Transport Phenomena in Concrete</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2022

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS

  • ISSN

    0363-9061

  • e-ISSN

    1096-9853

  • Volume of the periodical

    46

  • Issue of the periodical within the volume

    16

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    21

  • Pages from-to

    3052-3073

  • UT code for WoS article

    000852388700001

  • EID of the result in the Scopus database

    2-s2.0-85135380111