A novel virtual node method for polygonal elements  

作　　者：唐旭海 吴圣川 郑超 张建海 

机构地区：[1]State Key Lab of Hydraulics and Mountain River Engineering,Sichuan University [2]Centre for Advanced Materials Joining and Computations (AMJC),School of Materials Science and Engineering,Hefei University of Technology [3]Centre for Advanced Computations in Engineering Science (ACES),Department of Mechanical Engineering,National University of Singapore

出　　处：《Applied Mathematics and Mechanics(English Edition)》2009年第10期1233-1246,共14页应用数学和力学（英文版）

摘　　要：A novel polygonal finite element method （PFEM） based on partition of unity is proposed, termed the virtual node method （VNM）. To test the performance of the present method, numerical examples are given for solid mechanics problems. With a polynomial form, the VNM achieves better results than those of traditional PFEMs, including the Wachspress method and the mean value method in standard patch tests. Compared with the standard triangular FEM, the VNM can achieve better accuracy. With the ability to construct shape functions on polygonal elements, the VNM provides greater flexibility in mesh generation. Therefore, several fracture problems are studied to demonstrate the potential implementation. With the advantage of the VNM, the convenient refinement and remeshing strategy are applied.A novel polygonal finite element method （PFEM） based on partition of unity is proposed, termed the virtual node method （VNM）. To test the performance of the present method, numerical examples are given for solid mechanics problems. With a polynomial form, the VNM achieves better results than those of traditional PFEMs, including the Wachspress method and the mean value method in standard patch tests. Compared with the standard triangular FEM, the VNM can achieve better accuracy. With the ability to construct shape functions on polygonal elements, the VNM provides greater flexibility in mesh generation. Therefore, several fracture problems are studied to demonstrate the potential implementation. With the advantage of the VNM, the convenient refinement and remeshing strategy are applied.

关 键 词：virtual node method polygonal finite element method partition of unity crack propagation 

分 类 号：O302[理学—力学]