Area co-ordinates used in quadrilateral elements

Communications in Numerical Methods in Engineering

Volumn 15, Issue 8, 1999, Pages 533-545

  Long, Yuqiu ^a   Juxuan, Li ^a   Long, Zhifei ^b   Song, Cen ^a  

^a TSINGHUA UNIVERSITY   (China)

^b CHINA UNIVERSITY OF MINING AND TECHNOLOGY   (China)

Author keywords

Area co ordinates; Finite element; Quadrilateral element

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTATIONAL METHODS; THEOREM PROVING;

AREA COORDINATES; QUADRILATERAL ELEMENTS;

FINITE ELEMENT METHOD;

EID: 0032688363     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1099-0887(199908)15:8<533::aid-cnm265>3.0.co;2-d     Document Type: Article

References (7)

1. I.C. Taig, 'Structural analysis by the matrix displacement method', Engl. Electric Aviation Report, S017, 1961.
2. B. M. Irons, 'Engineering application of numerical integration in stiffness method', Journal of the American Institute of Aeronautics and Astronautics, 14, 2035-2037 (1966).
3. C. Hua, 'An inverse transformation for quadrilateral isoparametric elements: analysis and applications', Finite Elem. Anal. Des., 7, 159-166 (1990).
4. J. B. Mertie, 'Transformation of trilinear and quadriplanar coordinates to and from Cartesian coordinates', Am. Mineral., 49(7/8), 926-936 (1964).
5. M. A. Eisenberg and L. E. Malvern, 'On finite element integration in natural coordinates', Int. J. Numer. Methods Eng., 7(4), 574-575 (1973).
6. Cen Song, Long Zhifei and Zhang Chunsheng, Two eight-node quadrilateral elements constructed by area coordinates', Proceedings of the Seventh National Conference on Structural Engineering, Shijiazhuang, China (in Chinese), 7-12 October 1998, pp. 237-241.
7. Long Zhifei, Li Juxuan, Cen Song and Long Yuqiu, 'Quadrilateral plate bending elements constructed by area coordinates', Eng. Mech., 14(4), 1-9 (1997) (in Chinese).