A 4-node plane parameterized element based on quadrilateral area coordinate

作者：Li Gen^*; Huang Lin Chong

来源：Engineering Mechanics, 2014, 31(7): 15-22.

DOI：10.6052/j.issn.1000-4750.2013.01.0056

• Area coordinates
• Generalized conforming
• Mesh distortion
• Patch tests
• Quadrilateral elements

A 4-node plane parameterized element named AQGβ6-I is constructed based on quadrilateral area coordinate, a generalized conforming principle and projection technique with variable β∈[0,1]. The element performance has been tested by four numerical examples and compared with many famous elements. The results show that: when β=0 the element degenerates into its original formulation with all excellent performances; when β=1 the element can accurately pass strong patch test, its performance is same as that of many famous elements and significantly better than a bilinear-displacement quads isoparametric element (Q4); when β=0.5 the element is both well insensitive to distortion and convergence speed. It has also provided a useful method to alleviate a finite element trouble (The 4-node element has poor performance in bending problem but can pass the strong patch test. Conversely, it has excellent performance in bending problem but cannot pass the strong patch test).

• 出版日期2014
• 单位中山大学