An effective quadrilateral plate bending element | Zendy

HeXiang Lü | Zendy; ShuNing Xu | Zendy

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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.

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