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Journal cover: Engineering Computations

Engineering Computations

ISSN: 0264-4401

Online from: 1984

Subject Area: Mechanical & Materials Engineering

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Some low-order quadrilateral elements based on novel integration rules


Document Information:
Title:Some low-order quadrilateral elements based on novel integration rules
Author(s):B. Daya Reddy, (Centre for Research in Computational and Applied Mechanics, University of Cape Town, South Africa), Martin Küssner, (Centre for Research in Computational and Applied Mechanics, University of Cape Town, South Africa)
Citation:B. Daya Reddy, Martin Küssner, (1998) "Some low-order quadrilateral elements based on novel integration rules", Engineering Computations, Vol. 15 Iss: 6, pp.700 - 720
Keywords:Integration, Mesh accuracy, Quadrilateral element
Article type:Research Paper
DOI:10.1108/02644409810231853 (Permanent URL)
Publisher:MCB UP Ltd
Abstract:This work explores the properties of four-noded quadrilateral elements for which integration is carried out using low-order integration rules, based on one-point integration over subelements making up the quadrilaterals. The purpose is to identify those rules which lead to elements having the desirable properties of high coarse-mesh accuracy, and stability in the incompressible limit. A two-point rule is investigated in detail, as is its counterpart for problems of incompressible media, in which the volumetric term is integrated using a one-point rule. Numerical results indicate that the new elements perform well in general when compared with existing enhanced strain or equivalent elements, and appear to be particularly efficient in cases in which meshes are severely distorted.



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