HAN New Plate Bending Macro-Element

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...

Bending Analysis of Composite Sandwich Plates with Laminated Face Sheets: New Finite Element Formulation

The bending behavior of composites sandwich plates with multi-layered laminated face sheets has been investigated, using a new four-nodded rectangular finite element formulation based on a layer-wise theory. Both, first order and higher-order shear deformation; theories are used in order to model the face sheets and the core, respectively. Unlike any other layer-wise theory, the number of degre...