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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F18%3A00321307" target="_blank" >RIV/68407700:21110/18:00321307 - isvavai.cz</a>
Alternative codes found
RIV/67985556:_____/18:00507079
Result on the web
<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>

Result language
angličtina
Original language name
Wang tiling aided statistical determination of the Representative Volume Element size of random heterogeneous materials
Original language description
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 the Representative 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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20505 - Composites (including laminates, reinforced plastics, cermets, combined natural and synthetic fibre fabrics; filled composites)

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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