Computation of thin structures at large strains and large rotations using a simple C0 isoparametric three-node shell element

Computers and Structures

Volumn 58, Issue 2, 1996, Pages 249-261

  Boisse, P ^a,b   Gelin, J C ^a   Daniel, J L ^a  

^a CNRS   (France)

^b SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; COMPUTER AIDED ANALYSIS; DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; INTERPOLATION; KINEMATICS; NUMERICAL ANALYSIS; PROBLEM SOLVING; SHELLS (STRUCTURES); STRAIN; TENSORS; VECTORS;

FRECHET DERIVATIVE; ISOPARAMETRIC AHMAD KINEMATICS; LAGRANGIAN FORMULATION; SHEAR LOCKING; THREE NODE FINITE ELEMENT; VIRTUAL DISPLACEMENT VECTOR;

STRUCTURAL ANALYSIS;

EID: 0029731819     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7949(95)00143-5     Document Type: Article

References (31)

1. E. N. Dvorkin and K. J. Bathe, A continuum mechanics based four node shell element for general non-linear analysis. Engng Comput. 1, 77-78 (1984).
2. J. C. Simo and G. J. Kennedy, Finite strain elastoplasticity in stress resultant geometrically exact shells. In: Proc. 2nd Int. Conf. on Computational Plasticity, Barcelona, pp. 651-673 (1989).
3. T. Belytschko, B. L. Wong and H. Y. Chiang, Advances in one-point quadrature shell elements. Comput. Meth. appl. Mech. Engng 102, 93-107 (1992).
4. J. L. Batoz, K. J. Bathe and L. O. Ho, A study of three node triangular plate bending elements. Int. J. numer. Meth. Engng 15, 1771-1812 (1980).
5. J. L. Batoz, An explicite formulation for an efficient triangular plate bending element. Int. J. numer Meth. Engng 18, 1077-1089 (1982).
6. M. Bernadou, Some finite element approximations of thin shell problems. In: Finite Element Methods for Plates and Shell Structures (Edited by T. J. R. Hughes and E. Hinton), Vol. 1. pp. 62-85. Pineridge Press, Swansea (1986).
7. J. L. Batoz and P. Lardeur. A discret shear triangular nine d.o.f. element for the analysis of thick to very thin plates. Int. J. numer. Meth. Engng 28, 533-560 (1989).
8. O. C. Zienkiewicz, R L. Taylor, P. Papadopoulos and E. Onate, Plate bending elements with discrete constraints: new triangular elements. Comput. Struct. 35, 505-522 (1990).
9. J. L. Batoz and I. Katili, On a simple triangular Reissner-Mindlin plate element based on incompatible modes and discret constraints. Int. J. numer. Meth. Engng 35, 1603-1632 (1992).
10. T. J. R. Hughes and R. L. Taylor. The linear triangular bending element. In: Mathematics of Finite Elements and Applications, Vol. 4, pp. 127-142. Academic Press, London (1982).
11. 0 triangular plate element with one-point quadrature. Int. J. numer. Meth. Engng 20, 787-802 (1984).
12. P. Boisse, J. L. Daniel and J. C. Gelin, A simple isoparametric three node shell finite element. Comput. Struct. 44, 1263-1273 (1992).
13. S. Ahmad, B. M. Irons and O. C. Zienkiewicz, Analysis of thick and thin shell structures by curved finite elements. Int. J. numer. Meth. Engng 2, 419-451 (1971).
14. J. C. Simo and D. D. Fox, On a stress resultant geometrically exact shell model. Part. I: formulation and optimal parametrization. Comput. Meth. appl. Mech. Engng 72, 267-304 (1971).
15. J. C. Simo, D. D. Fox and M. S. Rifai, On a stress resultant geometrically exact shell model. Part. II: the linear theory; computational aspects. Comput. Meth. appl. Mech. Engng 73, 53-92 (1989).
16. J. C. Simo and G. J. Kennedy, Finite strain elastoplasticity in stress resultant geometrically exact shells. In: Proc. 2nd Int. Conf. on Computational Plasticity, Barcelona, pp. 651-673 (1989).
17. T. J. R. Hughes and T. E. Tezduyar, Finite element based upon Mindlin plate theory with particular reference to the four node bilinear isoparametric element. J. appl. Mech. 48, 587-596 (1981).
18. T. J. R. Hughes, The finite element method. In: Linear Static and Dynamic Finite Element Analysis, Prentice-Hall, Englewood Cliffs, NJ (1987).
19. 0 plate elements. Eur. J. Mech. A/Solids, 8, 53-72 (1989).
20. G. Stanley, Continuum based shell elements. Ph.D. thesis, Stanford University (1985).
21. H. Parisch, A critical survey of the 9-node degenerated shell element with special emphasis on thin shell application and reduced integration. Comput. Meth. appl. Mech. Engng 20, 323-350 (1979).
22. K. J. Bathe and N. Dvorkin, A formulation of general shell elements the use of mixed interpolation of tensorial components. Int. J. numer. Meth. Engng 22, 697-722 (1986).
23. H. C. Huang and E. Hinton, Lagrangian and serendipity plate and shell elements through thick and thin. In: Finite Element Methods for Plates and Shell Structures. (Edited by T. J. R. Hughes and E. Hinton), Vol. 1, pp. 46-61. Pineridge Press, Swansea (1986).
24. K. J. Bathe, Finite Element Procedures in Engineering Analysis. Prentice-Hall, Englewood Cliffs, NJ (1982).
25. J. H. Argvris, An excursion into large rotations. Comput. Meth. appl. Mech. Engng 32, 85-155 (1982).
26. Y. Ding, Finite-rotations elemente zur geometrisch nicht linearen analyse allgemeiner Flächentragwerke. Rapport technique. 89, no. 6. Institut für Konstruktiven Ingenieurbau, Ruhr Universität Bochum (1989).
27. 0 elements. Comput. Meth. appl. Mech. Engng 41, 279-293 (1983).
28. T. Belytschko, H. Stolarski, W. K. Liu, N. Carpenter and J. Ong, Stress projection for membrane and shear locking in shell finite elements. Comput. Meth. appl. Mech. Engng 51, 221-258 (1985).
29. P. Boisse, J. L. Daniel and J. C. Gelin, Elément fini de coque à trois noeuds pour le calcul des structures minces en grandes déformations. Rev. Eur. Elements Finis 2, 139-209 (1993).
30. J. L. Batoz and G. Dhatt, Modélisation des structures par éléments finis. Vol. 3, coque. Hermès, Paris (1992).
31. O. C. Zienkiewicz, The Finite Element Method, 3th Edn. McGraw-Hill, New York (1977).