A novel four-node quadrilateral element with continuous nodal stress

被引：37

作者：

Tang, Xu-hai ^{[1
]}

Zheng, Chao ^{[1
]}

Wu, Sheng-chuan ^{[2
,3
]}

Zhang, Jian-hai ^{[1
]}

机构：

[1] Sichuan Univ, State Key Lab Hydraul & Mt River Engn, Chengdu 610065, Peoples R China

[2] Hefei Univ Technol, Ctr Adv Mat Joining & Computat AMJC, Sch Mat Sci & Engn, Hefei 230009, Peoples R China

[3] Natl Univ Singapore, Dept Mech Engn, Ctr Adv Computat Engn Sci ACES, Singapore 117576, Singapore

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2009年 / 30卷 / 12期

关键词：

Q4-CNS; four-node quadrilateral element; partition of unity; continuous nodal stress; accuracy; mesh distortion; MESHFREE QUAD4 ELEMENT; PARTITION;

D O I：

10.1007/s10483-009-1204-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Formulation and numerical evaluation of a novel four-node quadrilateral element with continuous nodal stress (Q4-CNS) are presented. Q4-CNS can be regarded as an improved hybrid FE-meshless four-node quadrilateral element (FE-LSPIM QUAD4), which is a hybrid FE-meshless method. Derivatives of Q4-CNS are continuous at nodes, so the continuous nodal stress can be obtained without any smoothing operation. It is found that, compared with the standard four-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 derivatives of Q4-CNS shape functions are continuous at nodes, Q4-CNS is potentially useful for the problem of bending plate and shell models.

引用

页码：1519 / 1532

页数：14

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