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

Result code in 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>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

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

Original language description

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.

Czech name

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Czech description

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Type

O - Miscellaneous

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

<a href="/en/project/FV10202" target="_blank" >FV10202: Database of Digital Material Microstructures for Additive Manufacturing</a><br>

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