Abstract
<p>In this paper we present our recent work focused on the analysis of the abilities of Wang Tiles method and Automatic tile design method to synthesize the micro-structure of cellular materials, especially particular type of metal foam.</p><p>Wang Tiles method stores and compress the micro-structure in a set of Wang Tiles and by the means of stochastic tiling algorithms the planar domain is reconstructed. The used tiles are created by the Automatic tile design method from respective number of small specimens extracted from the original micro-structure image. As an additional step the central areas of automatically designed tiles are patched to suppress the influence of repeating tile edges (and relevant tile quarters) on inducing artifacts. In the presented analysis the performance of raw and patched tiles of different sizes in conjunction of various tile sets is investigated.</p>
Highlights
Detailed understanding and insight in the characteristic behaviour of real world processes are integral part to withstand the continuously increasing pressure to the ultimate materials performance
For heterogeneous materials with regular lattice (Fig. 1a) the common concept in multi-scale modelling called Periodic Unit Cell (PUC) can be used. This method compress the regular micro-structure into the single cell (Fig. 1b) corresponding to the representative volume element (RVE)
The Statistically Equivalent Periodic Unit Cell (SEPUC) method can be used for heterogeneous materials with random micro-structures
Summary
Detailed understanding and insight in the characteristic behaviour of real world processes are integral part to withstand the continuously increasing pressure to the ultimate materials performance. For heterogeneous materials with regular lattice (Fig. 1a) the common concept in multi-scale modelling called Periodic Unit Cell (PUC) can be used. This method compress the regular micro-structure into the single cell (Fig. 1b) corresponding to the representative volume element (RVE). The Statistically Equivalent Periodic Unit Cell (SEPUC) method can be used for heterogeneous materials with random micro-structures. Despite the utility of these methods (PUC or SEPUC) in cases like numerical homogenization [2] Both apply the concept of single cell which leads to periodic patterns in reconstructed domains. Contrary to unit cell frameworks, the Wang tiles are capable to reproduce non-periodic micro-structural patterns
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