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A novel four-node quadrilateral element with continuous nodal stress

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Abstract

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.

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Authors and Affiliations

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

    Xu-hai Tang  (唐旭海), Chao Zheng  (郑超) & Jian-hai Zhang  (张建海)

  2. Centre for Advanced Materials Joining and Computations (AMJC), School of Materials Science and Engineering, Hefei University of Technology, Hefei, 230009, P. R. China

    Sheng-chuan Wu  (吴圣川)

  3. Centre for Advanced Computations in Engineering Science (ACES), Department of Mechanical Engineering, National University of Singapore, Singapore, 117576, Singapore

    Sheng-chuan Wu  (吴圣川)

Authors
  1. Xu-hai Tang  (唐旭海)
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  2. Chao Zheng  (郑超)
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  3. Sheng-chuan Wu  (吴圣川)
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  4. Jian-hai Zhang  (张建海)
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Correspondence to Xu-hai Tang  (唐旭海).

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Communicated by Xing-ming GUO

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Tang, Xh., Zheng, C., Wu, Sc. et al. A novel four-node quadrilateral element with continuous nodal stress. Appl. Math. Mech.-Engl. Ed. 30, 1519–1532 (2009). https://doi.org/10.1007/s10483-009-1204-1

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  • DOI: https://doi.org/10.1007/s10483-009-1204-1

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2000 Mathematics Subject Classification

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