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Recent Developments in the Theory of Shells pp 711–725Cite as

On Performance of Nine-Node Quadrilateral Shell Elements 9-EAS11 and MITC9i

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Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 110))

Abstract

The chapter concerns nine-node quadrilateral shell elements derived for the Reissner-Mindlin kinematics and Green strain. They are based on the potential energy functional extended to include drilling rotations. A standard element of this class suffers from locking and over-stiffening; several special techniques are needed to improve its performance. We developed three nine-node shell elements with the membrane strains enhanced by the EAS11 representation of Bischoff and Ramm (Int. J. Num. Meth. Eng. 40:4427–4449, 1997 [2]). The transverse shear strains are treated either by the ANS method of Jang and Pinsky (Int. J. Num. Meth. Eng. 24:2389–2411, 1987 [6]), or are enhanced by the EAS6 representation of Sansour and Kollmann (Comput. Mech. 24:435–447, 2000 [17]), or remain unmodified. We also modify the EAS transformation rule, extending the idea put forward in Park and Lee (Comput. Mech. 15:473–484, 1995 [15]) for curved shells. Several numerical examples provide comparison of three 9-EAS11 elements to our MITC9i shell element of Wisniewski and Turska (Comput. Mech. 62, 499–523, 2018 [20]).

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Author information

Authors and Affiliations

  1. Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw, Poland

    K. Wiśniewski

  2. Polish Japanese Academy of Information Technology, Warsaw, Poland

    E. Turska

Authors
  1. K. Wiśniewski
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  2. E. Turska
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Corresponding author

Correspondence to K. Wiśniewski .

Editor information

Editors and Affiliations

  1. Faculty of Mechanical Engineering, Otto-von-Guericke-Universität Magdeburg, Magdeburg, Germany

    Holm Altenbach

  2. Faculty of Civil and Environmental Engineering, Gdańsk University of Technology, Gdańsk, Poland

    Jacek Chróścielewski

  3. Faculty of Civil and Environmental Engineering, Gdańsk University of Technology, Gdańsk, Poland

    Victor A. Eremeyev

  4. Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw, Poland

    Krzysztof Wiśniewski

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Wiśniewski, K., Turska, E. (2019). On Performance of Nine-Node Quadrilateral Shell Elements 9-EAS11 and MITC9i. In: Altenbach, H., Chróścielewski, J., Eremeyev, V., Wiśniewski, K. (eds) Recent Developments in the Theory of Shells . Advanced Structured Materials, vol 110. Springer, Cham. https://doi.org/10.1007/978-3-030-17747-8_35

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