Publication Details

Lu, H. Na., Wei, D. Bin. & Jiang, Z. Yi. (2012). Application of centroidal voronoi diagram in numerical model of microforming process. In 3rd International Conference on Manufacturing Science and Engineering, ICMSE 2012, 27-2 March 2012, Xiamen, China. Advanced Materials Research, 476-478 508-512.


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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