CONTRIBUTION TO THE TRIANGULAR ELEMENT FOR PLATE BENDING

Superconvergent eigenvalue bending plate element

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...

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...

A simple locking-free discrete shear triangular plate element

A new three node triangular plate element, labeled here as DST-S6 (Discrete Shear Triangular element with 6 extra Shear degrees of freedom), is proposed for the analyses of plate/shell structures comprising of thin or thick members. The formulation is based on the DKT (Discrete Kirchhoff Technique) and an appropriate use of the independent shear DOF(Degrees Of Freedom). The shear locking is com...