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Linear and Geometrically Nonlinear Analysis with 4-Node Plane Quasi-Conforming Element with Internal Parameters

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Abstract

A linear 4-node quadrilateral quasi-conforming plane element with internal parameters is proposed. The element preserves advantages of the quasi-conforming technique, including an explicit stiffness matrix, which can be applied to nonlinear problems. The weak patch test guarantees the convergence of the element. Then the linear element is extended to the geometrically nonlinear analysis in the framework of Total Lagrangian (TL) formulation. The numerical tests indicate that the present element is accurate and insensitive to mesh distortion.

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Authors and Affiliations

  1. School of Automotive Engineering, Dalian University of Technology, 116024, Dalian, China

    Changsheng Wang, Xiangkui Zhang & Ping Hu

  2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, 116024, Dalian, China

    Changsheng Wang, Xiangkui Zhang, Ping Hu & Zhaohui Qi

  3. Department of Engineering Mechanics, Dalian University of Technology, 116024, Dalian, China

    Zhaohui Qi

Authors
  1. Changsheng Wang
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  2. Xiangkui Zhang
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  3. Ping Hu
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  4. Zhaohui Qi
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Correspondence to Changsheng Wang.

Additional information

Project supported by the Fundamental Research Funds for the Central Universities (DUT14RC(3)092), the Key Project of the NSFC (Nos. 11272075 and 11472071), the ‘863’ Project of China (No. 2009AA04Z101) and the ‘973’ National Basic Research Project of China (No. 2010CB832700).

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Wang, C., Zhang, X., Hu, P. et al. Linear and Geometrically Nonlinear Analysis with 4-Node Plane Quasi-Conforming Element with Internal Parameters. Acta Mech. Solida Sin. 28, 668–681 (2015). https://doi.org/10.1016/S0894-9166(16)30008-8

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  • DOI: https://doi.org/10.1016/S0894-9166(16)30008-8

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