MIXED VARIATIONAL-PRINCIPLES AND STABILIZATION OF SPURIOUS MODES IN THE 9-NODE ELEMENT

被引：21

作者：

BELYTSCHKO, T

LIU, WK

ONG, JSJ

机构：

[1] Northwestern Univ, Evanston, IL, USA, Northwestern Univ, Evanston, IL, USA

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1987年 / 62卷 / 03期

关键词：

BEAMS AND GIRDERS - Testing - MATHEMATICAL TECHNIQUES - Variational Techniques;

D O I：

10.1016/0045-7825(87)90063-6

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The stabilization matrix for the 9-node plane stress element is developed through mixed variational principles. Through suppression of appropriate stresses, the element is constructed so that it exceeds the accuracy of both the underintegrated and fully integrated elements in various structural problems. One layer of elements is generally sufficient to match Euler-Bernoulli beam solutions within less than 1%; this property is termed flexural superconvergence. Results are given for a variety of problems to demonstrate the effectiveness of this procedure.

引用

页码：275 / 292

页数：18

共 18 条

[1]

BATHE KJ, 1985, P NUMETA, V85, P551

[2] HOURGLASS CONTROL IN LINEAR AND NONLINEAR PROBLEMS [J].