Finite element computations for the Reissner-Mindlin plate model
✍ Scribed by Xenophontos, Christos A.
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 168 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1069-8299
No coin nor oath required. For personal study only.
✦ Synopsis
We consider the ®nite element (FE) approximation of the Reissner±Mindlin (RM) plate model, and indicate how to design meshes that yield accurate results when the p/hp version of the standard FE method is used. These guidelines allow quantities of engineering interest to be predicted numerically with great con®dence near the boundary. We illustrate this through numerical computations in the case when both boundary layers and corner singularities are present.
📜 SIMILAR VOLUMES
Based on the Helmholtz decomposition of the transverse shear strain, Brezzi and Fortin in [7] introduced a three-stage algorithm for approximating the Reissner-Mindlin plate model with clamped boundary conditions and established uniform error estimates in the plate thickness. The first and third sta
We investigate a new rectangular element for the Reissner-Mindlin model based on the primitive variable system. Nonconforming rotated Q1 element is used to approximate the transverse displacement, and the biquadratic element is used for the rotation. A convergent error estimate is obtained, which is
A valuable variational approach for plate problems based on the Reissner-Mindlin theory is presented. The new MiSP (Mixed Shear Projected) approach is based on the Hellinger-Reissner variational principle, with a particular representation of transversal shear forces and transversal shear strains. Th
A formulation for ®nite element plane strain limit analysis of rigidly perfectly plastic solids governed by von Mises' plasticity condition is presented. The approach is based on the kinematic theorem of limit analysis formulated as a minimum problem for a convex and non-smooth dissipation functiona