Co-rotational flat facet triangular elements for shell instability analyses

Computer Methods in Applied Mechanics and Engineering

Volumn 156, Issue 1-4, 1998, Pages 75-110

  Pacoste, Costin ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002786897     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)80004-2     Document Type: Article

References (27)

1. B. Nour-Omid and C.C. Rankin, Finite rotation analysis and consistent linearization using projectors, Comput. Methods Appl. Mech. Engrg. 93 (1991) 353-384.
2. A. Eriksson, Fold lines for sensitivity analyses in structural instability, Comput. Methods Appl. Mech. Engrg. 114 (1994) 77-101.
3. A. Cardona and M. Geradin, A beam finite element non-linear theory with finite rotations, Int. J. Numer. Methods Engrg. 26 (1988) 2403-2438.
4. C. Pacoste and A. Eriksson, Beam elements in instability problems, Comput. Methods Appl. Mech. Engrg., (1996) accepted for publication.
5. J. Argyris and L. Tenek, A natural triangular layered element for bending analysis of isotropic, sandwich, laminated composite and hybrid plates, Comput. Methods Appl. Mech. Engrg. 109 (1993) 197-218.
6. J. Argyris and L. Tenek, Buckling of multilayered composite plates by natural shear deformation matrix theory, Comput. Methods Appl. Mech. Engrg. 111 (1994) 37-59.
7. J. Argyris and L. Tenek, Linear and geometrically nonlinear bending of isotropic and multilayered composite plates by the natural mode method, Comput. Methods Appl. Mech. Engrg. 113 (1994) 207-251.
8. D.J. Allman, Evaluation of the constant strain triangle with drilling rotations, Int. J. Numer. Methods Engrg. 26 (1988) 2645-2655.
9. O.C. Zienkewicz, The Finite Element Method, 3rd. edition, (McGraw-Hill, London, 1977).
10. M.A. Crisfield, A consistent co-rotational formulation for non-linear, three-dimensional, beam-elements, Comput. Methods Appl. Mech. Engrg. 81 (1990) 131-150.
11. A. Ibrahimbegović, F. Frey and I. Kožar, Computational aspects of vector like parameterization of three-dimensional finite rotations, Int. J. Numer. Methods Engrg. 38 (1995) 3653-3673.
12. A. Eriksson, On a thin shell element for non-linear analysis, based on the isoparametric concept, Comput. Struct. 42 (1992) 927-939.
13. B.W. Char, K.O. Geddes, G.H. Gonnet, B.L. Leong, M.B. Monagan and S.M. Watt, Maple V Language Reference Manual (Springer-Verlag, 1991).
14. J. Argyris and L. Tenek, Practicable and locking-free laminated plate and shell elements, in K. Bell, ed., From Finite Elements to the Troll Platform, The Norwegian Institute of technology (Trondheim, 1994) 25-64.
15. A. Eriksson, A note on the development of efficient simple finite elements, Dept. Struct. Engng., Royal Inst. Techn., Stockholm, 1996.
16. A. Eriksson, Equilibrium subsets for multi-parametric structural analysis, Comput. Methods Appl. Mech. Engrg. 140 (1997) 305-327.
17. A. Eriksson, Cutsets and augmented equilibrium equations for multi-parametric structural analysis models, Dept. Struct. Engng., Royal Inst. Techn., Stockholm, 1993.
18. C. Pacoste and A. Eriksson, Element behaviour in post-critical plane frames analysis, Comput. Methods Appl. Mech. Engrg. 125 (1995) 319-343.
19. T. Kawai and N. Yoshimura, Analysis of large deflection of plates by the finite element method, Int. J. Numer. Methods Engrg. 1 (1969) 123-133.
20. J.C. Simo, D.D. Fox and M.S. Rifai, On a stress resultant geometrically exact shell model. Part III: Computational aspects of the nonlinear theory, Comput. Methods Appl. Mech. Engrg. 79 (1990) 21-70.
21. M.L. Bucalem and K.J. Bathe, Higher-order MITC general shell elements, Int. J. Numer. Methods Engrg. 36 (1993) 3729-3754.
22. K.S. Surana, Geometrically nonlinear formulation for the curved shell elements, Int. J. Numer. Methods Engrg. 19 (1983) 581-615.
23. K.M. Mathisen and K.M. Okstad, Interactive-adaptive geometrically nonlinear analysis of shell structures, Engrg. Comput. 12 (1996) 63-83.
24. K.M. Okstad and K.M. Mathisen, Towards automatic adaptive geometrically non-linear shell analysis. Part I: Implementation of an h-adaptive mesh refinement procedure, Int. J. Numer. Methods Engrg. 37 (1994) 2657-2678.
25. A.B. Sabir and A.C. Lock, The application of finite elements to the large deflection geometrically non linear behaviour of cylindrical shells, in C. A. Brebia and H. Tottenham, eds., Variational Methods in Engineering, University Press, Southampton, 1973, 7/66-7/75.
26. A.D. Lanzo, G. Garcea and R. Casciaro, Asymptotic post-buckling analysis of rectangular plates by HC finite elements, Int. J. Numer. Methods Engrg. 38 (1995) 2325-2345.
27. T. Lidström, Computational methods for finite element instability analyses, Ph.D. Thesis Dept. Struct. Engng., Royal Inst. Techn., Stockholm, 1996.