Membrane elements insensitive to distortion using the quadrilateral area coordinate method
By Xiao-Ming Chen, S. Cen, Y. Long, Zhenhan Yao. 2004
115 citations recorded by the source corpus.
Subfields: Civil and Structural Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/3b386c8fcb287c14e173f7da2409dc1982228e98
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Civil and Structural Engineering
- Xiaoying Zhuang
- Yongchang Cai
- Trung Nguyen-Thoi
- Charles E. Augarde
- S. Cen
- Khin Yong Lam
- G. Liu
- Chenfeng Li
In Mechanics of Materials
- Trung Nguyen-Thoi
- Timon Rabczuk
- Xiaoying Zhuang
- Charles E. Augarde
- Guirong Liu
- G. Liu
- Khin Yong Lam
- Hung Nguyen-Xuan
Citations in the corpus
- A novel FEM by scaling the gradient of strains with factor α (αFEM) (2009, methodology): “[10], QACM4—the membrane elements using the quadrilateral area coordinate approach by Cen et al.”
- A new partition of unity finite element free from the linear dependence problem and possessing the delta property (2010, result): “The vertical displacement at point C (vc), the minimum principal stress at point B ( Bmin σ ) and the maximum principal stress at point A ( Amax σ ) are compared in Table 2, between the results using the present method and the reference results in [25].”
- Application of the quadrilateral area co‐ordinate method: a new element for Mindlin–Reissner plate (2006, methodology): “Based on the quadrilateral area co-ordinate method presented in References [2, 3], several 4-node [4] and 8-node [5] membrane elements, a 4-node thin plate-bending element ACGCQ [6], and a shell element for explicit dynamic analysis [7] were successfully developed.”
- An unsymmetric 4‐node, 8‐DOF plane membrane element perfectly breaking through MacNeal's theorem (2015, methodology): “However, as the prediction of MacNeal’s theorem, the two elements cannot strictly pass the C0 patch test (only pass the weak form of the C0 patch test [31]).”
- An isostatic quadrilateral membrane finite element with drilling rotations and no spurious modes (2012, unknown): “The element proposed in [23], based on area coordinates, reduces the sensitivity to mesh distortion but implies the violation of compatibility, as outlined in [24] with reference to some interesting benchmarks.”