Simulating Self-Avoiding Isometric Plate Bending

Superconvergent eigenvalue bending plate element

Stress boundary conditions for plate bending

The determination of the appropriate boundary conditions for a two-dimensional theory of elastic flat plates (and shells) consistent with the expected order of accuracy of the theory is both critical and challenging. The reciprocal theorem of elasticity will be applied in a novel way to obtain the appropriate stress boundary conditions for plate bending accurate to all order (with respect to th...

Analyzing Plane-plate Bending with EFGM

The moving least-square technique is used to construct shape function in the Element Free Galerkin Method at present, but sometimes the algebra equations system obtained from the moving least-square approximation is ill-conditioned and the shape function needs large quantity of inverse operation. In this paper, the weighted orthogonal functions are used as basis ones, the application in the cal...

The Mitc7 and Mitc9 Plate Bending Elements

We present in this paper two plate bending elements that have been proposed and mathematically analyzed previousIy by Bathe, Brezzi and Fortin: the MITC7 (a triangular) element and the MITC9 (a quad~late~l) element. The formation of these elements is summarized and example solutions are given that demonstrate the high accuracy of these elements. 1. lNTRODUCHON Although much research effort has ...

Mixed Rectangular Finite Elements for Plate Bending

The paper describes three different rectangular plate bending elements based on Reissner's type stationary variational principles. They differ in the number of dependent variables approximated independently and also in the number of nodes per element. The first element types treats the transverse deflection and the three moments as unknowns at each of the corner nodes; the second element type t...