On the linear analysis of plates and shells using a new-16 degrees of freedom flat shell element

Computers and Structures

Volumn 78, Issue 1, 2000, Pages 11-20

  Batoz, J L ^a   Hammadi, F ^a   Zheng, C ^a   Zhong, W ^b  

^a UNIVERSITÉ DE TECHNOLOGIE DE COMPIÈGNE   (France)

^b DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; SHELLS (STRUCTURES); STRUCTURAL ANALYSIS;

KIRCHHOFF FLAT SHELL ELEMENT THEORY; RATIONAL ELEMENT METHOD;

PLATES (STRUCTURAL COMPONENTS);

EID: 0034325742     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(00)00104-8     Document Type: Article

References (34)

1. Batoz JL, Dhatt G. Modélisation des Structures par Éléments Finis. Coques, Hermès, Paris, 1992.
2. Zhong W.X., Zeng J. Rational finite elements. J Comp Struct Mech Appl. 13:1996;1-8.
3. Batoz JL, Hammadi F, Zheng CL, Zhong WX. A new discrete Kirchhoff 8 DOF quadrilateral element for plate bending analysis. Internal Report, UTC, LGZMS, 1998.
4. Dawe D.J. Shell analysis using a simple facet element. J Strain Analysis. 7:1972;226-270.
5. Bathe K.J., Dvorkin E. Our discrete Kirchhoff and isoparametric shell elements for nonlinear analysis. An assessment. Comput Struct. 16:1983;89-98.
6. Dhatt G., Marcotte L., Matte Y. A new triangular discrete Kirchhoff plate shell element. Int J Num Meth Engng. 23:1986;453-470.
7. Clough R.W., Johnson C.P. A finite element approximation for the analysis of thin shell. Int J Solids Struct. 4:1968;43-60.
8. Horrigmoe G. Finite element instability analysis of free-form shells. Report No 77-2, NIT, University of Trondheim, Norway, 1977.
9. Argyris J.H., Haase M., Mlejnek H.P., Schmolz P.K. TRUNC for shell - an element possibly to the taste of Bruce Irons. Int J Num Meth Engng. 22:1986;93-115.
10. Morley L.S.D. The constant moment plate bending element. J Strain Analysis. 6:1971;20-24.
11. Wilson EL, Taylor RL, Doherty WP, Ghaboussi J. Incompatible displacement models. Numerical and computer methods in structural mechanics. Academic Press: New York, 1973. p. 43-57.
12. Taig IC, Kerr R. Some problems in the discrete element representation of aircraft structure. Matrix method of the structural analysis. Pergamon: London, 1964. p. 267-315.
13. Taylor R.L., Beresford P.J., Wilson E.L. A non-conforming element for stress analysis. Int J Num Meth Engng. 10:1976;1211-1219.
14. Bergan PG, Hanssen L. A new approach for deriving good finite elements. In: Whiteman JR, editor. The Mathematics of Finite Elements and Applications, vol. II, MAFELAP II Conference, Brunel University, 1975, Academic Press: London, 1976. p. 483-97.
15. Bergan P.G., Nygard M.K. Finite elements with increased freedom in closing shape functions. Int J Num Meth Engng. 20:1984;643-664.
16. Park K.C., Stanley G.M. A curved C° shell element based on assumed natural-coordinate strains. J Appl Mech. 53:1986;51-54.
17. Tang L.M., Chen W.J., Liu Y.X. Formulation of quasi-conforming element and Hu-Washizu principle. Comput Struct. 19:1984;247-250.
18. Pian T.H.H., Chen D.P. Alternative ways for formulation of hybrid stress elements. Int J Num Meth Engng. 18:1982;1679-1684.
19. Pian T.H.H., Sumihara K. Rational approach for assumed stress finite element. Int J Num Meth Engng. 20:1984;1685-1695.
20. Simo J.C., Rifai M.S. A class of mixed assumed strain methods and the method of incompatible modes. Int J Num Meth Engng. 29:1990;1595-1638.
21. Chen W., Cheung Y.K. A new approach for the hybrid element method. Int J Num Meth Engng. 24:1987;1697-1709.
22. Bathe K.J., Dvorkin E.H. A four-node plate bending element based on Mindlin-Reissner plate bending theory and mixed interpolation. Int J Num Meth Engng. 21:1985;367-383.
23. Pugh E.D., Hinton E., Zienkiewicz O.C. A study of quadrilateral plate bending element with reduced integration. Int J Num Meth Engng. 12:1978;1059-1078.
24. McNeal R. A simple quadrilateral shell element. Comput Struct. 8:1978;175-183.
25. Saleeb A.F., Chang T.Y. An efficient quadrilateral element of plate bending analysis. Int J Num Meth Engng. 24:1987;1123-1155.
26. Sze K.Y., Chow C.L. An efficient hybrid quadrilateral Kirchhoff plate bending element. Int J Num Meth Engng. 32:1991;149-169.
27. Batoz J.L., Tahar M.B. Evaluation of a new quadrilateral thin plate bending element. Int J Num Meth Engng. 18:1982;1655-1677.
28. Yang H.T.Y., Saigal S., Liaw D.G. Advances of the thin shell finite elements and some applications. ver. 1. Comput Struct. 35:1990;481-504.
29. Crisfield M. Finite elements and solution procedures for structural analysis. Linear analysis. 1986;Pineridge, Swansea.
30. Onate E. A review of some finite element families for thick and thin plate and shell analysis. In: Hughes TJR, Onate E, Zienkiewicz OC, editors. Recent Developments in Finite Element Analysis, CIMNE, Barcelona, Spain, 1994. p. 98-111.
31. Donea J., Lamain L.G. A modified representation of transverse shear in C° quadrilateral plate elements. Comp Meth Appl Mech Engng. 63:1987;183-207.
32. Prathap G., Wiswanath S. An optimally integrated four node quadrilateral plate bending element. Int J Num Meth Engng. 19:1983;831-840.
33. Ibrahimbegovic A. Quadrilateral finite elements for thick and thin plates. Comp Meth Appl Mech Engng. 110:1993;195-209.
34. MacNeal R., Harder R.L. A proposed standard set of problems to test finite element accuracy. Finite Element Analysis Design. 1:1985;3-20.