Mixed plate bending elements based on least-squares formulation uri icon

abstract

  • AbstractA finite element formulation for the bending of thin and thick plates based on leastsquares variational principles is presented. Finite element models for both the classical plate theory and the firstorder shear deformation plate theory (also known as the Kirchhoff and Mindlin plate theories, respectively) are considered. Highorder nodal expansions are used to construct the discrete finite element model based on the leastsquares formulation. Exponentially fast decay of the leastsquares functional, which is constructed using the L2 norms of the equations residuals, is verified for increasing order of the nodal expansions. Numerical examples for the bending of circular, rectangular and skew plates with various boundary conditions and plate thickness are presented to demonstrate the predictive capability and robustness of the new plate bending elements. Plate bending elements based on this formulation are shown to be insensitive to both shearlocking and geometric distortions. Copyright 2004 John Wiley & Sons, Ltd.

published proceedings

  • INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

author list (cited authors)

  • Pontaza, J. P., & Reddy, J. N.

citation count

  • 29

complete list of authors

  • Pontaza, JP||Reddy, JN

publication date

  • June 2004

publisher