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
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Czech description
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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