𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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


Least-squares finite element approximati
✍ Zhiqiang Cai; Xiu Ye; Huilong Zhang 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 106 KB 👁 1 views

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

A rectangular element for the Reissner–M
✍ Xiu Ye 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 109 KB 👁 1 views

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 new hybrid-mixed variational approach
✍ Rezak Ayad; Gouri Dhatt; Jean Louis Batoz 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 415 KB 👁 1 views

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 mixed finite element model for plane s
✍ Capsoni, A. 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 169 KB 👁 1 views

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