Research Article

Eight-node Reissner–Mindlin plate element based on boundary interpolation using Timoshenko beam function

  1. Hexin Zhang1,
  2. J. S. Kuang2,*

Article first published online: 31 JUL 2006

DOI: 10.1002/nme.1809

Issue

International Journal for Numerical Methods in Engineering

International Journal for Numerical Methods in Engineering

Volume 69, Issue 7, pages 1345–1373, 12 February 2007

Additional Information

How to Cite

Zhang, H. and Kuang, J. S. (2007), Eight-node Reissner–Mindlin plate element based on boundary interpolation using Timoshenko beam function. Int. J. Numer. Meth. Engng., 69: 1345–1373. doi: 10.1002/nme.1809

Author Information

  1. 1

    School of the Built Environment, Napier University, Edinburgh, Scotland, U.K.

  2. 2

    Department of Civil Engineering, Hong Kong University of Science and Technology, Hong Kong

*Department of Civil Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong

Publication History

  1. Issue published online: 10 JAN 2007
  2. Article first published online: 31 JUL 2006
  3. Manuscript Accepted: 24 MAY 2006
  4. Manuscript Received: 17 MAY 2006

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Keywords:

  • Reissner–Mindlin plate element;
  • Timoshenko beam function;
  • eight-node element;
  • thick plates

Abstract

A new eight-node Reissner–Mindlin plate element is developed with a special interpolation within the element. This special interpolation is an extension of the element boundary interpolation that employs Timoshenko beam function for the boundary segment interpolation. The element function can effectively capture the structural behaviours of thick plates and achieve high precision in the analysis of thick plates. Patch tests and numerical investigations are conducted. It can be seen that the proposed element successfully passes all the patch tests. The results of the numerical investigation show that the proposed element is free of the shear locking phenomenon and possesses a higher accuracy in the analyses, as compared to the earlier research in the literature. Copyright © 2006 John Wiley & Sons, Ltd.

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