Application of the quadrilateral area coordinate method: A new element for laminated composite plate bending problems

Acta Mechanica Sinica/Lixue Xuebao

Volumn 23, Issue 5, 2007, Pages 561-575

  Cen, Song ^a   Fu, Xiangrong ^b   Long, Yuqiu ^a   Li, Hongguang ^a   Yao, Zhenhan ^a  

^a TSINGHUA UNIVERSITY   (China)

^b CHINA AGRICULTURAL UNIVERSITY   (China)

Author keywords

Finite element; First order shear deformation theory (FSDT); Hybrid post processing procedure; Laminated composite plate; Quadrilateral Area Coordinate (QAC)

Indexed keywords

DEFORMATION; NUMERICAL METHODS; QUADRATIC PROGRAMMING; STRESS ANALYSIS;

FIRST-ORDER SHEAR DEFORMATION THEORY (FSDT); HYBRID POST-PROCESSING PROCEDURE; QUADRILATERAL AREA COORDINATE (QAC);

FINITE ELEMENT METHOD;

EID: 38149021470     PISSN: 05677718     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10409-007-0088-z     Document Type: Article

References (30)

1. Long Y.Q., Li J.X., Long Z.F. and Cen S. (1999). Area coordinates used in quadrilateral elements. Commun. Numer. Methods Eng. 15(8): 533-545
2. Long Z.F., Li J.X., Cen S. and Long Y.Q. (1999). Some basic formulae for area coordinates used in quadrilateral elements. Commun. Numer. Methods Eng. 15(12): 841-852
3. Cen S., Long Y.Q., Yao Z.H. and Chiew S.P. (2006). Application of the quadrilateral area coordinate method: a new element for Mindlin-Reissner plate. Int. J. Numer. Methods Eng. 66(1): 1-45. doi:10.1002/nme.1533
4. Lee N.S. and Bathe K.J. (1993). Effects of element distortion on the performance of isoparametric elements. Int. J. Numer. Methods Eng. 36: 3553-3576
5. Chen X.M., Cen S., Long Y.Q. and Yao Z.H. (2004). Membrane elements insensitive to distortion using the quadrilateral area coordinate method. Comput. Struct. 82(1): 35-54. doi:10.1016/j.compstruc.2003.08.004
6. Zhu Y.Q., Lin Z.Q. and Zhang W.G. (2003). A quadrilateral thin shell element based on area co-ordinate for explicit dynamic analysis. Commun. Numer. Methods Eng. 19: 169-178. doi:10.1002/cnm.579
7. Zhu Y.Q. and Wu C.F. (2005). An improved area-coordinate based quadrilateral shell element in dynamic explicit FEA. Int. J. Mod. Phys. B 19(1-3): 687-690
8. Soh A.K., Long Y.Q. and Cen S. (2000). Development of eight-node quadrilateral membrane elements using the area coordinates method. Comput. Mech. 25(4): 376-384. doi:10.1007/s004660050484
9. Soh A.K., Long Z.F. and Cen S. (2000). Development of a new quadrilateral thin plate element using area coordinates. Comput. Methods Appl. Mech. Eng. 190(8-10): 979-987. doi:10.1016/S0045-7825(99)00457-0
10. Cardoso R.P.R., Yoon J.W. and Valente R.A.F. (2006). A new approach to reduce membrane and transverse shear locking for one-point quadrature shell elements: linear formulation. Int. J. Numer. Methods Eng. 66(2): 214-249. doi:10.1002/nme.1548
11. Brunet M. and Sabourin F. (2006). Analysis of a rotation-free 4-node shell element. Int. J. Numer. Methods Eng. 66(9): 1483-1510. doi:10.1002/nme.1608
12. Long Y.Q., Long Z.F. and Cen S. (2001). Method of area coordinate-from triangular to quadrilateral elements. Adv. Struct. Eng. 4(1): 1-11. doi:10.1260/1369433011502282
13. Long, Y.Q., Cen, S., Long, Z.F.: Generalized conforming element (GCE) and quadrilateral area coordinate method (QACM). In: Yao, Z.H., Yuan, M.W., Zhong, W.X. (eds.) Proceedings of the Sixth World Congress on Computational Mechanics in Conjunction with the Second Asian-Pacific Congress on Computational Mechanics, pp. 462-467. Tsinghua University Press & Springer, Beijing (2004)
14. Yan X.Q. (2006). Finite element modeling of consolidation of composite laminates. Acta Mech. Sin. 22(1): 62-67. doi:10.1007/s10409-005-0092-0
15. Cen S., Long Y.Q. and Yao Z.H. (2002). A new hybrid-enhanced displacement-based element for the analysis of laminated composite plates. Comput. Struct. 80(9-10): 819-833
16. Cen S., Soh A.K., Long Y.Q. and Yao Z.H. (2002). A new 4-node quadrilateral FE model with variable electrical degrees of freedom for the analysis of piezoelectric laminated composite plates. Compos. Struct. 58(4): 583-599
17. Sadek E.A. (1998). Some serendipity finite element for the analysis of laminated plates. Comput. Struct. 69: 37-51
18. Singh G., Raju K.K. and Rao G.V. (1998). A new lock-free, material finite element for flexure of moderately thick rectangular composite plates. Comput. Struct. 69: 609-623
19. Auricchio F. and Sacco E. (1999). A mixed-enhanced finite-element for the analysis of laminated composite plates. Int. J. Numer. Methods Eng. 44: 1481-1504
20. Alfano G., Auricchio F., Rosati L. and Sacco E. (2001). MITC finite elements for laminated composite plates. Int. J. Numer. Methods Eng. 50: 707-738
21. Zhang Y.X. and Kim K.S. (2004). Two simple and efficient displacement-based quadrilateral elements for the analysis of composite laminated plates. Int. J. Numer. Methods Eng. 61(11): 1771-1796. doi:10.1002/nme.1123
22. Zhang Y.X. and Kim K.S. (2005). A simple displacement-based 3-node triangular element for linear and geometrically nonlinear analysis of laminated composite plates. Comput. Methods Appl. Mech. Eng. 194(45-47): 4607-4632. doi:10.1016/j.cma.2004.11.011
23. Cazzani A., Garusi E., Tralli A. and Atluri S.N. (2005). A four-node hybrid assumed-strain finite element for laminated composite plates. CMC Comput. Mater. Contin. 2(1): 23-38
24. Park T.Y., Kim K.D. and Han S.C. (2006). Linear static and dynamic analysis of laminated composite plates and shells using a 4-node quasi-conforming shell element. Compos. Part B Eng. 37(2-3): 237-248. doi:10.1016/j.compositesb.2005.05.007
25. Kärger L., Wetzel A., Rolfes R. and Rohwer K. (2006). A three-layered sandwich element with improved transverse shear stiffness and stresses based on FSDT. Comput. Struct. 84(13-14): 843-854. doi:10.1016/j. compstruc.2006.02.007
26. Chen Y.L., Cen S., Yao Z.H., Long Y.Q. and Long Z.F. (2003). Development of triangular flat-shell element using a new thin-thick plate bending element based on SemiLoof constrains. Struct. Eng. Mech. 15(1): 83-114
27. Pagano N.J. and Hatfield S.J. (1972). Elastic behavior of multilayered bi-directional composites. AIAA J. 10: 931-933
28. Reddy J.N. (1997). Mechanics of Laminated Composite Plates-Theory and Analysis. CRC Press, Boca Raton
29. Lardeur P. and Batoz J.L. (1989). Composite plate analysis using a new discrete shear triangular finite element. Int. J. Numer. Methods Eng. 27: 343-359
30. Pagano N.J. (1970). Exact solutions for rectangular bidirectional composites and sandwich plates. J. Compos. Mater. 4: 20-34