A novel virtual node method for polygonal elements |
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Authors: | Xu-hai Tang Sheng-chuan Wu Chao Zheng Jian-hai Zhang |
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Institution: | 1. State Key Lab of Hydraulics and Mountain River Engineering, Sichuan University,Chengdu 610065, P. R. China 2. Centre for Advanced Materials Joining and Computations (AMJC), School of Materials Science and Engineering, Hefei University of Technology, Hefei 230009,P.R.China;Centre for Advanced Computations in Engineering Science (ACES), Department of Mechanical Engineering, National University of Singapore, 117576, Singapore |
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Abstract: | 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. |
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Keywords: | virtual node method polygonal finite element method partition of unity crack propagation |
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