TANG Xu-hai, WU Sheng-chuan, ZHENG Chao, ZHANG Jian-hai. A Novel Virtual Node Method for Polygonal Elements[J]. Applied Mathematics and Mechanics, 2009, 30(10): 1153-1164. doi: 10.3879/j.issn.1000-0887.2009.10.003
 Citation: TANG Xu-hai, WU Sheng-chuan, ZHENG Chao, ZHANG Jian-hai. A Novel Virtual Node Method for Polygonal Elements[J]. Applied Mathematics and Mechanics, 2009, 30(10): 1153-1164.

# A Novel Virtual Node Method for Polygonal Elements

##### doi: 10.3879/j.issn.1000-0887.2009.10.003
• Received Date: 2008-12-22
• Rev Recd Date: 2009-09-03
• Publish Date: 2009-10-15
• A novel polygonal finite element method (PFEM), which is based on partition of unity, was proposed and named as virtual node method (VNM). To test the perform ance of present method, intensive numerical examples were carried out for solid mechanic problems. With polynomial form, virtual node method achieves better results than that of traditional PFEM, including Wachspress method and mean value method in standard patch test Compared with standard triangular FEM, virtual node method can achieve better accuracy. With the ability to construct shape function on polygonal elements, virtual node method provides greater flexibility in mesh generation. Therefore, several fracture problems were studied to demonstrate poten tialim plemen tation. With the advantage of virtual node method, convenien trefinement and remeshing strategy are applied.
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