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An effective quadrilateral plate bending element
Author(s) -
HeXiang Lü,
ShuNing Xu
Publication year - 1989
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620280511
Subject(s) - quadrilateral , rectangle , bending of plates , element (criminal law) , stiffness matrix , mathematics , bending , mathematical analysis , finite element method , structural engineering , convergence (economics) , constant (computer programming) , geometry , computer science , engineering , political science , law , economics , programming language , economic growth
An effective arbitrary quadrilateral thin plate bending element with a quasi‐conforming, QCQ element, is presented in this paper. The elements pass the patch test with constant strain and the patch test with linear strains approximately. When the element degenerates to a rectangle the patch test with linear strains is passed. The calculation of the element stiffness matrix is simple without numerical integration. The numerical examples show that the QCQ element has a higher accuracy and a faster convergence rate.