A penalty plate‐bending element for the analysis of laminated anisotropic composite plates Academic Article uri icon


  • A C0 (penalty) finite element is developed for the equations governing the heterogeneous laminated plate theory of Yang, Norris and Stavsky. The YNS theory is a generalization of Mindlin's theory for homogeneous, isotropic plates to arbitrarily laminated anisotropic plates and includes shear deformation and rotary inertia effects. The present element can also be used in the analysis of thin plates by appropriately specifying the penalty parameter. A variety of problems are solved, including those for which solutions are not available in the literature, to show the material effects and the parametric effects of plate aspect ratio, length‐to‐thickness ratio, lamination scheme, number of layers and lamination angle on the deflections, stresses, and vibration frequencies. Despite its simplicity, the present element gives very accurate results. Copyright © 1980 John Wiley & Sons, Ltd

author list (cited authors)

  • Reddy, J. N.

citation count

  • 161

publication date

  • August 1980