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Microstructure generation of severely deformed materials using Voronoi diagram in Laguerre geometry: Full algorithm
, Article Computational Materials Science ; Volume 50, Issue 9 , July , 2011 , Pages 2698-2705 ; 09270256 (ISSN) ; Kazeminezhad, M ; Sharif University of Technology
2011
Abstract
A new Voronoi diagram in Laguerre geometry based on closed-pack non-overlapping circles was proposed. This diagram was used to simulate microstructure of severely deformed materials at different applied strains. Grains size and their fractions were introduced by controlling the size and distribution of nuclei. Edge number distribution and neighboring cells edge number along with area distribution of the simulated Voronoi cells were determined. The edge number distribution was observed to fit gamma distribution more accurately. However, due to high inhomogeneity in the microstructure of the deformed samples at low strains, edge number distribution could not be matched by any distribution...