Aperiodic compression and reconstruction of real-world material systems based on Wang tiles

Martin Doškář, Jan Novák, and Jan Zeman
Phys. Rev. E 90, 062118 – Published 11 December 2014

Abstract

The paper presents a concept to compress and synthesize complex material morphologies that is based on Wang tilings. Specifically, a microstructure is stored in a set of Wang tiles and its reconstruction is performed by means of a stochastic tiling algorithm. A substantial part of the study is devoted to the setup of optimal parameters of the automatic tile design by means of parametric studies with statistical descriptors at heart. The performance of the method is demonstrated on four two-dimensional two-phase target systems, monodisperse media with hard and soft disks, sandstone, and high porosity metallic foam.

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  • Received 3 July 2014

DOI:https://doi.org/10.1103/PhysRevE.90.062118

©2014 American Physical Society

Authors & Affiliations

Martin Doškář1,*, Jan Novák1,2,†, and Jan Zeman1,‡

  • 1Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, 166 29 Praha, Czech Republic
  • 2Institute of Structural Mechanics, Faculty of Civil Engineering, Brno University of Technology, Veveří 95/331, 602 00 Brno, Czech Republic

  • *martin.doskar@fsv.cvut.cz
  • novakj@cml.fsv.cvut.cz
  • zemanj@cml.fsv.cvut.cz

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Issue

Vol. 90, Iss. 6 — December 2014

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