Some basic formulae for area co-ordinates in quadrilateral elements

Authors
Long, ZF Li, JX Cen, S Long, YQ
Citation
Zf. Long et al., Some basic formulae for area co-ordinates in quadrilateral elements, COMMUN NUM, 15(12), 1999, pp. 841-852
Citations number
4
Categorie Soggetti
Engineering Mathematics
Journal title
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
ISSN journal
10698299 → ACNP
Volume
15
Issue
12
Year of publication
1999
Pages
841 - 852
Database
ISI
SICI code
1069-8299(199912)15:12<841:SBFFAC>2.0.ZU;2-J
Abstract
The area co-ordinate method, which is an efficient tool in the construction of triangular elements, has been recently generalized to construct straigh t-sided quadrilateral elements. In this paper, the differential and integra l formulae for area co-ordinates in quadrilateral elements are presented. C onsequently, the numerical integration method that must be used in the form ulation of the stiffness matrix in isoparametric elements can now be discar ded. Copyright (C) 1999 John Wiley & Sons, Ltd.