Optimisation of Size-controllable Centroidal Voronoi Tessellation for FEM Simulation of Micro Forming Processes

• DOI: 10.1016/j.proeng.2014.10.342
• Publication Date: 2014-10-15T17:49:03Z
• Authors: Liang Luo; Zhengyi Jiang; Haina Lu; Dongbin Wei; Kezhi Linghu; Xianming Zhao; Di Wu
• Keywords: Centroidal Voronoi tessellation; Tessellation (computer graphics); Quadrilateral; Hexahedron

Voronoi tessellation has been employed to characterise material features in Finite Element Method (FEM) simulation, however, a poor mesh quality of the voronoi tessellations causes problems explicit dynamic simulation forming processes. Although centroidal can partly improve by homogenisation tessellations, small features, such as short edges and facets, lead an inferior quality. Further, cannot represent all real micro structures materials because almost equal shape size. In this paper, density function is applied control size distribution then Laplacian operator optimise tessellations. After optimisation, be eliminated elements are quadrilateral 2D hexahedral 3D cases. Moreover, significantly higher than that generated on original or tessellation. This work beneficial for processes, deep drawing