A Novel Four-Node Quadrilateral Element With Continuous Nodal Stress

TANG Xu-hai; ZHENG Chao; WU Sheng-chuan; ZHANG Jian-hai

doi:10.3879/j.issn.1000-0887.2009.12.004

Volume 30 Issue 12

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Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(12): 1427-1439

TANG Xu-hai, ZHENG Chao, WU Sheng-chuan, ZHANG Jian-hai. A Novel Four-Node Quadrilateral Element With Continuous Nodal Stress[J]. Applied Mathematics and Mechanics, 2009, 30(12): 1427-1439. doi: 10.3879/j.issn.1000-0887.2009.12.004

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A Novel Four-Node Quadrilateral Element With Continuous Nodal Stress

doi: 10.3879/j.issn.1000-0887.2009.12.004

1.
State Key Lab of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610065, P. R. China;

Received Date: 2009-03-13
Rev Recd Date: 2009-09-03
Publish Date: 2009-12-15

Abstract

Abstract

Formulation and numerical evaluation of a novel QUAD4 with continuous nodal stress(Q4-CNS)were presented.And Q4-CNS can be regarded as an improved FE-LSPIM QUAD4,which is a hybrid FE-Meshless method.The derivatives of Q4-CNS are continuous at nodes,so continuous nodal stress can be obtained without any smoothing operation.It is found that,compared with standard 4-node quadrilateral element(QUAD4),Q4-CNS can achieve significantly better accuracy and higher convergence rate.It is also found that Q4-CNS exhibits high tolerance to mesh distortion. Moreover,since the derivatives of Q4-CNS shape functions are continuous at nodes,Q4-CNS is potentially useful for the problem of bending plate and shell models.
- Q4-CNS,
- partition of unity,
- continuous nodal stress,
- accuracy,
- mesh distortion