Refined nonconforming plane quadrilateral element

Computers and Structures

Volumn 78, Issue 5, 2000, Pages 699-709

  Cheung, Y K ^a   Zhang, Y X ^a   Chen, W J ^b  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

^b DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL ANALYSIS; STRUCTURAL ANALYSIS; VIBRATIONS (MECHANICAL);

PATCH TESTS; PLANE QUADRILATERAL ELEMENTS;

STRUCTURAL MEMBERS;

EID: 0034367833     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(00)00049-3     Document Type: Article

References (26)

1. Wilson EL, Taylor RL, Doherty WP, Ghaboussi J. Incompatible displacement models. In: Fenves SJ, et al., editors. Numerical and Computer Methods in Structural Mechanics. New York: Academic Press, 1973. p. 43-57.
2. Taylor RL, Beresford PJ, Wilson EL. A nonconforming element for stress analysis. Int J Numer Meth Engng 1976;10:1211-9.
3. Wachspress EL. Incompatible quadrilateral basis functions. Int J Numer Meth Engng 1978;12:589-95.
4. Pian THH. Derivation of element stiffness matrices by assumed stress distributions. AIAA 1964;2:1333-6.
5. Pian THH, Sumihara K. Rational approach for assumed stress finite elements. Int J Numer Meth Engng 1984; 20:1685-96.
6. Punch EF, Atluri SN. Development and testing of stable, invariant, isoparametric curvilinear 2- and 3-D hybrid stress elements. Comput Meth Appl Mech Engng 1984; 47(3)331-56.
7. Pian THH, Wu CC. General formulation of incompatible shape function and an incompatible isoparametric element. Proc Invitational China-America on FEM, Chenda, China, 1986.
8. Chen W, Cheung YK. A new approach for the hybrid element method. Int J Numer Meth Engng 1987;24:1697-709.
9. Cheung YK, Chen W. Refined hybrid method for plane isoparametric element using an orthogonal approach. Comput Struct 1992;42(5):638-94.
10. Chen W, Cheung YK. A robust refined quadrilateral plane element. Int J Numer Meth Engng 1995;38:649-66.
11. Bouzeghoub MC, Gunn MJ. On stress interpolation for hybrid models. Int J Numer Meth Engng 1994;37:895-904.
12. Yeo ST, Lee BG. New stress assumption for hybrid stress elements and refined four-node plane and eight-node brick elements. Int J Numer Meth Engng 1997;40:2933-52.
13. Nagtegaal JC, Parks DM, Rice JR. On numerically accurate finite element solutions in the fully plastic range. Comp Meth Appl Mech Engng 1974;4:153-77.
14. Willan KJ. Finite element analysis of cellular structures. Ph.D Thesis, University of California, Berkeley.
15. Hughes TJR. Generalization of selective integration procedures to anisotropic and nonlinear media. Int J Numer Meth Engng 1980;15:1413-8.
16. Simo JC, Taylor RL, Pister KS. Variational and projection methods for the volume constraint in finite deformation elastoplasticity. Comp Meth Appl Mech Engng 1985;51: 177-208.
17. Simo JC, Rifai MS. A class of mixed assumed strain methods and the method of incompatible modes. Int J Numer Meth Engng 1990;29:1595-638.
18. Cheung YK, Chen W. Refined nine-parameter triangular thin plate bending element by using refined direct stiffness methods. Int J Numer Meth Engng 1995;38: 283-98.
19. Chen W, Cheung YK. Refined triangular discrete Kirchhoff thin plate bending element for thin plate bending, vibration and buckling analysis. Int J Numer Meth Engng 1998;41:1507-25.
20. Chen W, Cheung YK. Refined quadrilateral discrete Kirchhoff thin plate bending element. Int J Numer Meth Engng 1997;41:3937-53.
21. Chen W, Li Y. Refined nonconforming element method using Cartesian interpolation. J Dalian Univ Technol 1997;37:371-5 [in Chinese].
22. Petyt M. Introduction to finite element vibration analysis. New York: Cambridge University Press, 1990.
23. Yunus SM, Saigal S, Cook RD. On improved hybrid finite elements with rotational degrees of freedom. Int J Numer Meth Engng 1989;28:785-800.
24. Sze KY, Chen W, Cheung YK. An efficient quadrilateral plane element with drilling degrees of freedom using orthogonal stress modes. Comput Struct 1992;42:695-705.
25. Carr JB. The effect of shear flexibility and rotatory inertia on the natural frequencies of uniform beams. Aeronaut Quart 1970;21:79-90.
26. Clough RW, Chopra AK. Earthquake stress analysis in earth dams. J Engng, Mech Proc, ASCE 1966;92(EM2): 197-211.