A 17-node quadrilateral spline finite element using the triangular area coordinates

Applied Mathematics and Mechanics (English Edition)

Volumn 31, Issue 1, 2010, Pages 125-134

  Chen, Juan ^a   Li, Chong Jun ^a   Chen, Wan Ji ^a,b  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^b SHENYANG AEROSPACE UNIVERSITY   (China)

Author keywords

17 node quadrilateral element; B net method; Bivariate spline interpolation basis; Fourth order completeness; Triangular area coordinates

Indexed keywords

ACCURACY LOSS; AREA COORDINATES; BIVARIATE; BIVARIATE SPLINE; CONFORMALITY; DISPLACEMENT FIELD; FINITE ELEMENT; FOURTH-ORDER; HIGH PRECISION; MESH DISTORTION; QUADRILATERAL ELEMENTS; QUARTIC SPLINE; SPLINE FUNCTIONS;

INTERPOLATION;

SPLINES;

EID: 74849089381     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10483-010-0113-1     Document Type: Article

References (13)

1. Zienkiewicz, O. C. and Taylor, R. L. The Finite Element Method, 5th Ed., Elsevier Pte Ltd., Singapore (2005)
2. N. S. Lee K. J. Bathe 1993 Effects of element distortion on the performance of isoparametric elements Int. J. Numer. Methods Engrg. 36 20 3553 3576 0800.73465 10.1002/nme.1620362009
3. Y. Q. Long J. X. Li Z. F. Long S. Cen 1999 Area coordinates used in quadrilateral elements Commun. Numer. Methods Engrg. 15 8 533 545 0959.74068 10.1002/(SICI)1099-0887(199908)15:8<533::AID-CNM265>3.0.CO;2-D 1707165
4. S. Cen X. M. Chen X. R. Fu 2007 Quadrilateral membrane element family formulated by the quadrilateral area coordinate method Comput. Methods Appl. Mech. Engrg. 196 41-44 4337 4353 1173.74403 10.1016/j.cma.2007.05.004 (Pubitemid 47194338)
5. Y. D. Li W. J. Chen 1997 Refined nonconforming 8-node plane elements Chinese J. Comput. Mech. 14 3 276 285
6. C. J. Li R. H. Wang 2006 A new 8-node quadrilateral spline finite element J. Comput. Appl. Math. 195 1-2 54 65 1096.65018 10.1016/j.cam.2005.07.017 2244626 (Pubitemid 43929184)
7. Chen, J., Li, C. J., and Chen, W. J. Area coordinates and B-net method for quadrilateral spline elements (in Chinese). Chinese J. Theory Appl. Mech., in press.
8. Chen, J., Li, C. J., and Chen, W. J. A new method of quadrilateral elements by area coordinates interpolation (in Chinese). Engineering Mechanics, in press.
9. H. T. Rathod S. Kilari 2000 General complete Lagrange family for the cube in finite element interpolations Comput. Methods Appl. Mech. Engrg. 181 1-3 295 344 0964.74069 10.1016/S0045-7825(99)00080-8 1734670 (Pubitemid 32212089)
10. S. P. Ho Y. L. Yeh 2006 The use of 2D enriched elements with bubble functions for finite element analysis Computers and Structures 84 29-30 2081 209 10.1016/j.compstruc.2006.04.008 (Pubitemid 44646535)
11. R. H. Wang 1975 The structural characterization and interpolation for multivariate splines (in Chinese) Acta Math. Sinica 18 2 91 106 0358.41004 454458
12. Wang, R. H. Multivariate Spline Functions and Their Applications, Science Press/Kluwer Academic Publishers, Beijing/New York/Dordrecht/Boston/London (2001)
13. G. Farin 1986 Triangular Bernstein-Bézier patches Computer Aided Geometric Design 3 2 83 127 10.1016/0167-8396(86)90016-6 867116