Reissner-Mindlin Plate Element for Large Deflection Problem

  • Y. Ueda
  • H. Murakawa
  • H. Masuda
Conference paper


The primary objective of this work is to develop a simple and practical displacement finite element model for elastic-plastic large deflection problems of thin plates. The applicability of existing Mindlin plate elements to the problem is examined for this purpose. It is revealed that the Mindlin element with low order of interpolation results in poor accuracy for geometrically nonlinear problems. To overcome the deficiency, element with heterogeneous interpolation is proposed. Also, locking associated with the element is discussed and a proper technique to remove it is proposed.


Transverse Shear Transverse Displacement Thinness Ratio Mindlin Plate Internal Constraint 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Hughes, T.J.R., Taylor, R.L. and Kanoknukulchai, W., ‘A simple and efficient finite element for plate bending’, Int. J. Num. Meth. Engng., 11 (1977), 1529–1543.MATHCrossRefGoogle Scholar
  2. 2.
    Levy, S., ‘Bending of rectangular plates with large deflections’, NACA Report, No. 737 (1942).Google Scholar
  3. 3.
    Greimann, L.F. and Lynn, P.P., ‘Finite element analysis of plate bending with transverse shear deformation’, Nucl. Engng. Design, 14 (1970), 223–230.CrossRefGoogle Scholar
  4. 4.
    Batoz, J.L. and Tahar, M.B., ‘Evaluation of a new quadrilateral thin plate bending element’, Int. J. Num. Meth. Engng., 18 (1982), 1655–1677.MATHCrossRefGoogle Scholar
  5. 5.
    Zienkiewicz, O.C. and Cheung, Y.K., ‘The finite element method for analysis of elastic isotropic and orthotropic slabs’, Proc. Inst. Civ. Engng., 28 (1964), 471–488CrossRefGoogle Scholar

Copyright information

© Springer Japan 1986

Authors and Affiliations

  • Y. Ueda
    • 1
  • H. Murakawa
    • 1
  • H. Masuda
    • 2
  1. 1.Welding Research InstituteOsaka UniversitySuita, Osaka, 565Japan
  2. 2.Institute of TechnologyOsaka UniversitySuita, Osaka, 565Japan

Personalised recommendations