Homogenization of discrete diffusion models by asymptotic expansion

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Homogenization of discrete diffusion models by asymptotic expansion

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Homogenization of discrete diffusion models by asymptotic expansion

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20101 - Civil engineering

Projekt

<a href="/cs/project/GA19-12197S" target="_blank" >GA19-12197S: Sdružená Úloha Mechaniky a Proudění v Betonu Řešená Pomocí Meso-Úrovňového Diskrétního Modelu</a><br>

Návaznosti

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

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název periodika

INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS

ISSN

0363-9061

e-ISSN

1096-9853

Svazek periodika

46

Číslo periodika v rámci svazku

16

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

21

Strana od-do

3052-3073

Kód UT WoS článku

000852388700001

EID výsledku v databázi Scopus

2-s2.0-85135380111