Application of Centroidal Voronoi Diagram in Numerical Model of Microforming Process

Hai Na Lu; Dong Bin Wei; Zheng Yi Jiang

doi:10.4028/www.scientific.net/AMR.476-478.508

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 476-478Application of Centroidal Voronoi Diagram in...

Application of Centroidal Voronoi Diagram in Numerical Model of Microforming Process

Abstract:

Grain size, shape and orientation play an important role on the deformability of micro workpiece as the geometrical dimensions approach to a characteristic scale in micro-forming process. This paper addresses the three-dimensional (3D) finite element (FE) model with weighed centroidal voronoi diagram (WCVD). Steady-state grains are generated when the voronoi generating points approach the grain centroid utilising a simplex integration algorithm. As a result of the centroidal process, the topological features of grains advance the uniform and steady state gradually, which may cause a decrease of interfacial energy. The grain size distribution is compared between the 3D domain and random cross-sectional plan. The effects of centroidal process on the distributions of grain size and number of grain corners, facet and edge are analysed.

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Periodical:

Advanced Materials Research (Volumes 476-478)

Pages:

508-512

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.476-478.508

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Online since:

February 2012

Authors:

Hai Na Lu, Dong Bin Wei, Zheng Yi Jiang

Keywords:

Centroidal Voronoi Diagram, Microfingming, Simplex Integration, Size Effect

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