Wang tiling for particle heterogeneous materials: algorithms for generation of tiles/cubes via molecular dynamics
Date issued
2019
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
University of West Bohemia
Abstract
This paper aims at a reduction of periodicity artefacts during a generation of random heterogeneous material
models. The traditional concept of the Periodic Unit Cell is compared with a novel approach of the stochastic
Wang tiling. Since modelled structures consist of hard circular/spherical particles in a matrix, the algorithm for
placement of inclusions is based on themodifiedmolecular dynamics.We introduce two types ofWang tile boundary
conditions to decrease periodicity artefacts. Tested samples for 2D applications form sets of both monodisperse and
polydisperse microstructures. The overall volume fractions of these samples are approximately 0.2, 0.4, and 0.6,
respectively. The generated sets are analysed both visually and statistically via a two-point probability function.
An extension of the stochastic Wang tiling enables to create 3D structures, as well. Therefore, artificial periodicity
is also investigated on a 3D sample consisting of spherical particles of identical radii distributed in a continuous
phase.
Description
Subject(s)
náhodný heterogenní materiál, Wangovo dláždění, periodická jednotková buňka, molekulární dynamiky
Citation
Applied and Computational Mechanics. 2019, vol. 11, no. 1, p. 53-76.