𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A rectangular element for the Reissner–Mindlin plate

✍ Scribed by Xiu Ye

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
109 KB
Volume
16
Category
Article
ISSN
0749-159X

No coin nor oath required. For personal study only.

✦ Synopsis

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 independent of the thickness of the plate.

📜 SIMILAR VOLUMES

Finite element computations for the Reis
Finite element computations for the Reissner-Mindlin plate model
✍ Xenophontos, Christos A. 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 168 KB 👁 2 views

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

Least-squares finite element approximati
Least-squares finite element approximations for the Reissner-Mindlin plate
✍ 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

Refined quadrilateral element based on M
Refined quadrilateral element based on Mindlin/Reissner plate theory
✍ Chen Wanji; Y. K. Cheung 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 202 KB 👁 1 views

A new quadrilateral thin/thick plate element RDKQM based on the Mindlin/Reissner plate theory is proposed. The exact displacement function of the Timoshenko's beam is used to derive the element displacements of the re"ned element RDKQM. The convergence for the very thin plate can be ensured theoreti

A new hybrid-mixed variational approach
A new hybrid-mixed variational approach for Reissner–Mindlin plates. The MiSP model
✍ 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 FOUR-NODE DIFFERENTIAL QUADRATURE METH
A FOUR-NODE DIFFERENTIAL QUADRATURE METHOD FOR STRAIGHT-SIDED QUADRILATERAL REISSNER/MINDLIN PLATES
✍ LIEW, K. M. ;HAN, J.-B. 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 297 KB

A four-node dierential quadrature (4NDQ) method is proposed as a simple, accurate and ecient numerical technique for bending analysis of Reissner/Mindlin plates in an arbitrarily straight-sided quadrilateral domain. For demonstration, a clamped skew rhombic plate is used as an example to illustrate