New rectangular plate elements based on twist-Kirchhoff theory

被引：11

作者：

Brezzi, F. ^{[3
,4
]}

Evans, J. A. ^{[1
]}

Hughes, T. J. R. ^{[1
]}

Marini, L. D. ^{[2
,4
]}

机构：

[1] Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA

[2] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy

[3] Ist Univ Studi Super, I-27100 Pavia, Italy

[4] CNR, Ist Matemat Applicata & Tecnol Informat, I-27100 Pavia, Italy

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2011年 / 200卷 / 33-36期

基金：

美国国家科学基金会;

关键词：

Plates; Finite elements; One-point quadrature; Twist-Kirchhoff theory; FINITE-ELEMENT; ISOGEOMETRIC ANALYSIS; SHELLS;

D O I：

10.1016/j.cma.2011.04.012

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We introduce a new framework for the development of thin plate finite elements, the "twist-Kirchhoff theory". A family of rectangular plate elements is derived that takes advantage of the special structure of this new theory. Particular attention is focused on the lowest-order member of the family, an eight degree-of-freedom, four-node element with mid-side rotations whose stiffness matrix is exactly computed with one-point Gaussian quadrature. We prove a convergence theorem for it and various error estimates. These are also generalized to the higher-order elements in the family. Numerical tests corroborate the theoretical results. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：2547 / 2561

页数：15

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