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

Phys Rev E Stat Nonlin Soft Matter Phys

Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, 166 29 Praha, Czech Republic.

Published: December 2014

AI Article Synopsis

  • - The paper introduces a method for compressing and reconstructing complex material structures using a technique called Wang tilings, which involves a set of pieces (tiles) that can cover a plane without gaps.
  • - A stochastic tiling algorithm is utilized for the reconstruction of the microstructures, and the study focuses on optimizing the parameters for automatic tile design through statistical analysis.
  • - The effectiveness of this method is showcased by applying it to four different two-dimensional systems, including various types of materials like hard and soft disks, sandstone, and metallic foam with high porosity.

Article 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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http://dx.doi.org/10.1103/PhysRevE.90.062118DOI Listing

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