Wang tiling aided statistical determination of the Representative Volume Element size of random heterogeneous materials

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F18%3A00507079" target="_blank" >RIV/67985556:_____/18:00507079 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21110/18:00321307

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0997753817305673" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0997753817305673</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.euromechsol.2017.12.002" target="_blank" >10.1016/j.euromechsol.2017.12.002</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Wang tiling aided statistical determination of the Representative Volume Element size of random heterogeneous materials

Popis výsledku v původním jazyce

Wang tile based representation of a heterogeneous material facilitates fast synthesis of non-periodic microstructure realizations. In this paper, we apply the tiling approach in numerical homogenization to determine thenRepresentative Volume Element size related to the user-defined significance level and the discrepancy between bounds on the apparent properties. First, the tiling concept is employed to efficiently generate arbitrarily large, statistically consistent realizations of investigated microstructures. Second, benefiting from the regular structure inherent to the tiling concept, the Partition theorem, and statistical sampling, we construct confidence intervals of the apparent properties related to the size of a microstructure specimen. Based on the interval width and the upper and lower bounds on the apparent properties, we adaptively generate additional microstructure realizations in order to arrive at an RVE satisfying the prescribed tolerance. The methodology is illustrated with the homogenization of thermo-mechanical properties of three two-dimensional microstructure models: a microstructure with mono-disperse elliptic inclusions, foam, and sandstone.

Název v anglickém jazyce

Wang tiling aided statistical determination of the Representative Volume Element size of random heterogeneous materials

Popis výsledku anglicky

Wang tile based representation of a heterogeneous material facilitates fast synthesis of non-periodic microstructure realizations. In this paper, we apply the tiling approach in numerical homogenization to determine thenRepresentative Volume Element size related to the user-defined significance level and the discrepancy between bounds on the apparent properties. First, the tiling concept is employed to efficiently generate arbitrarily large, statistically consistent realizations of investigated microstructures. Second, benefiting from the regular structure inherent to the tiling concept, the Partition theorem, and statistical sampling, we construct confidence intervals of the apparent properties related to the size of a microstructure specimen. Based on the interval width and the upper and lower bounds on the apparent properties, we adaptively generate additional microstructure realizations in order to arrive at an RVE satisfying the prescribed tolerance. The methodology is illustrated with the homogenization of thermo-mechanical properties of three two-dimensional microstructure models: a microstructure with mono-disperse elliptic inclusions, foam, and sandstone.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10103 - Statistics and probability

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

European Journal of Mechanics A-Solids

ISSN

0997-7538

e-ISSN

—

Svazek periodika

70

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

FR - Francouzská republika

Počet stran výsledku

16

Strana od-do

280-295

Kód UT WoS článku

000432510300024

EID výsledku v databázi Scopus

2-s2.0-85044481731