STUDIES ON THE PLATE-BENDING ELEMENT OF MORLEY

Superconvergent eigenvalue bending plate element

Modified Specht ’ S Plate Bending Element and Its Convergence Analysis

This paper discusses Specht’s plate bending element, shows the relationships between ∫ Fρ w ds or ∫ Fρ ∂w ∂n ds and the nodal parameters (or degrees of freedom), further it sheds lights on the construction methods for that element, and finally it introduces a new plate bending element with good convergent properties (which passes the F-E-M-Test (cf.[11])) is derived.

Superconvergence in Projected-Shear Plate-Bending Finite Element Methods

Projected-shear nite element methods for periodic Reissner-Mindlin plate model are analyzed for rectangular meshes. A projection operator is applied to the shear stress term in the bilinear form. Optimal error estimates in the L 2-norm, H 1-norm, and the energy norm for both displacement and rotations are established and gradient superconvergence along the Gauss lines is justiied in some weak s...

Mixed Finite Element Models for Plate Bending Analysis

The theoretical background of mixed finite element models, in general for nonlinear problems, is briefly reexamined. In the first part of the paper, several alternative “mixed” formulations for 3-D continua undergoing large elastic deformations under the action of time dependent external loading are outlined and are examined incisively. It is concluded that mixed finite element formulations, wh...

On nonconforming an mixed finite element methods for plate bending problems. The linear case

This paper deals with the approximate solution ofhnear 4th-order elhptic boundaryvalue problems by thefimte element method For a displacement method using the nonconforming plate element of M orley and for a mixed method known as Herrmann-Miyoshi-scheme quasi optimal Land L^-error estimâtes are denved The proof essenüally uses L-estimâtes for regularized Green's functwns and then disaere amiloq...