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Compressing random microstructures via stochastic Wang tilings.

Jan Novák1, Anna Kučerová, Jan Zeman

  • 1Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, 166 29 Praha, Czech Republic. novakj@cml.fsv.cvut.cz

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 11, 2012
PubMed
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This study introduces a novel stochastic Wang tiling method for microstructure compression and reconstruction. It accurately reproduces long-range orders efficiently, outperforming single unit cell approaches.

Area of Science:

  • Materials Science
  • Computational Physics
  • Statistical Mechanics

Background:

  • Disordered microstructures are challenging to model and reconstruct accurately.
  • Existing methods often rely on single unit cells, limiting their ability to capture long-range order.
  • Accurate representation of microstructures is crucial for predicting material properties.

Purpose of the Study:

  • To present a stochastic Wang tiling-based technique for compressing and reconstructing disordered microstructures.
  • To enable accurate reproduction of long-range orientation orders.
  • To offer a computationally efficient alternative to existing methods.

Main Methods:

  • Utilizes a finite set of tiles assembled by a stochastic tiling algorithm.
  • Applies Wang tiling principles to microstructure modeling.

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  • Demonstrates the method on a two-dimensional particulate suspension.

    • Main Results:

    • The stochastic Wang tiling technique successfully compresses and reconstructs disordered microstructures.
    • The method accurately reproduces long-range orientation orders.
    • Achieves computational efficiency compared to single unit cell approaches.

    Conclusions:

    • The stochastic Wang tiling method provides an effective framework for microstructure reconstruction.
    • The technique is extensible to generic multidimensional media.
    • Offers a powerful tool for materials science and computational physics.