Tiling concept in the RVE size determination: a step beyond Periodic Unit Cell in modelling heterogeneous materials

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F18%3A00323805" target="_blank" >RIV/68407700:21110/18:00323805 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Tiling concept in the RVE size determination: a step beyond Periodic Unit Cell in modelling heterogeneous materials

Popis výsledku v původním jazyce

We present a methodology for the RVE size determination that addressed the both bottlenecks, building on the representation of microstructural geometry by means of the abstract tiling concept. Our approach generalizes the concept of Statistically Equivalent Periodic Unit Cell (SEPUC). Instead to a single cell, geometrical characteristics of an investigated microstructure are attributed to a handful of domains with predefined mutual compatibility, which we describe adopting the formalism of Wang tiles. The approach decouples the generation of microstructural samples into the off-line and the on-line phase. In the computationally intensive off-line phase, the microstructure is compressed within a set of domains -- tiles-- using similar methods developed for designing a SEPUC. However, unlike SEPUC, tiles do not represent the investigated microstructure individually; only when the tiles are assembled into a tiling, placing side-by-side only the tiles compatible at the congruent edges, the assembled system resembles the investigated microstructure in terms of spatial statistics. In the on-line phase, random but statistically consistent microstructural realizations are reconstructed almost instantly with a simple stochastic assembly algorithm, making it particularly appealing for the outlined RVE size determination where multiple microstructural samples are required.

Název v anglickém jazyce

Tiling concept in the RVE size determination: a step beyond Periodic Unit Cell in modelling heterogeneous materials

Popis výsledku anglicky

We present a methodology for the RVE size determination that addressed the both bottlenecks, building on the representation of microstructural geometry by means of the abstract tiling concept. Our approach generalizes the concept of Statistically Equivalent Periodic Unit Cell (SEPUC). Instead to a single cell, geometrical characteristics of an investigated microstructure are attributed to a handful of domains with predefined mutual compatibility, which we describe adopting the formalism of Wang tiles. The approach decouples the generation of microstructural samples into the off-line and the on-line phase. In the computationally intensive off-line phase, the microstructure is compressed within a set of domains -- tiles-- using similar methods developed for designing a SEPUC. However, unlike SEPUC, tiles do not represent the investigated microstructure individually; only when the tiles are assembled into a tiling, placing side-by-side only the tiles compatible at the congruent edges, the assembled system resembles the investigated microstructure in terms of spatial statistics. In the on-line phase, random but statistically consistent microstructural realizations are reconstructed almost instantly with a simple stochastic assembly algorithm, making it particularly appealing for the outlined RVE size determination where multiple microstructural samples are required.

Druh

O - Ostatní výsledky

CEP obor

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OECD FORD obor

20505 - Composites (including laminates, reinforced plastics, cermets, combined natural and synthetic fibre fabrics; filled composites)

Projekt

<a href="/cs/project/FV10202" target="_blank" >FV10202: Databáze digitalizovaných materiálových mikrostruktur pro aditivní výrobu</a><br>

Návaznosti

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

Rok uplatnění

2018

Kód důvěrnosti údajů

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