Engineering Mechanics

Proceedings Vol. 21 (2015)

ENGINEERING MECHANICS 2015

Copyright © 2015 Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

 

M. Doškář, J. Novák
pages 50 - 51, full text

Wang tilings have been recently shown to bring novel insights to microstructure representation efforts generalizing the conventional unit-cell approach. It allows to reconstruct stochastic realizations of the compressed medium without prior periodic assumptions on microstructural patterns. Moreover, once the microstructure is compressed, realizations of various sizes can be generated at almost negligible cost. We follow the standard numerical homogenization procedure and utilize the Wang tiles-based microstructure representation to generate computational domains. In order to alleviate computational cost, ideas of domain decomposition are adopted benefiting from the repetitive patterns in the computational domains.

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