Large displacement analysis of thin plates and shells using a flat facet finite element formulation

Computer Methods in Applied Mechanics and Engineering

Volumn 145, Issue 3-4, 1997, Pages 285-299

  Meek, J L ^a   Ristic, S ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

FLAT FACETED FINITE ELEMENT METHOD; LARGE DISPLACEMENT ANALYSIS;

DEGREES OF FREEDOM (MECHANICS); EQUATIONS OF MOTION; FINITE ELEMENT METHOD; LAGRANGE MULTIPLIERS; PLATES (STRUCTURAL COMPONENTS); ROTATION; SHELLS (STRUCTURES);

STRUCTURAL ANALYSIS;

EID: 0031170091     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)01220-0     Document Type: Article

References (26)

1. J. Argyris, H. Balmer and I. St. Doltsinis, Implantation of a nonlinear capability on a linear software system, Comput. Methods Appl. Mech. Engrg. 65 (1987) 267-291.
2. J.H. Argyris and P.C. Dunne, On the application of the natural mode technique to small strain large displacement problems, in: World Congress on Finite Element Methods in Structural Mechanics (Bournemouth, 1975).
3. J.H. Argyris, P.C. Dunne, G.A. Malejannakis and E. Schelkle, A simple triangular facet shell element with applications to linear and nonlinear equilibrium and elastic stability problems, Comput. Methods Appl. Mech. Engrg. 11 (1977) 97-131.
4. P.G. Bergan and R.W. Clough, Large deflection analysis of plates and shallow shells using the finite element method, Int. J. Numer. Methods Engrg. 5 (1973) 543-556.
5. T.Y. Chang and K. Sawamiphakdi, Large deflection and post-buckling analysis of shell structures, Comput. Methods Appl. Mech. Engrg. 32 (1982) 311-326.
6. M.A. Crisfield, A fast incremental/iterative solution procedure that handles snap-through, Comput. Struct. 13 (1981) 55-62.
7. G.S. Dhatt, Instability of thin shells by the finite element method, in: IASS Symposium for folded plates and prismatic structures, Vienna, September 1970.
8. H. Goldstein. Classical Mechanics, 2nd edition (Addison-Wesley, 1980).
9. G. Horrigmoe and P.G. Bergan, Nonlinear analysis of free-form shells by flat finite elements, Comput. Methods Appl. Mech. Engrg. 16 (1978) 11-35.
10. K-M. Hsiao, Nonlinear analysis of general shell structures by flat triangular shell element, Comput. Struct. 25 (1987) 665-675.
11. K-M. Hsiao and H-C. Hung, Large-deflection analysis of shell structure by using co-rotational total Lagrangian formulation, Comput. Methods Appl. Mech. Engrg. 73 (1989) 209-22.
12. J.L. Meek and H.S. Tan, A faceted shell element with Loof nodes, Int. J. Numer. Methods Engrg. 23 (1986) 49-67.
13. R.H. Leicester, Finite deformations of shallow shells, J. Engrg. Mech. Div. EM, ASCE 94 (1968) 1409-1423.
14. S. Levy, Bending of rectangular plates with large deflection, Technical Note No. 846, N.A.C.A, 1942.
15. J.L. Meek and H.S. Tan, Instability analysis of thin plates and arbitrary shells using a faceted shell element with Loof nodes, Comput. Methods Appl. Mech. Engrg. 57 (1986) 143-170.
16. J.L. Meek and S. Tan, A discrete Kirchhoff plate bending element with Loof nodes, Comput. Struct. 21(6) (1985) 1197-1212.
17. D.W. Murray and E.L. Wilson, Finite element large deflection analysis of plates, J. Engrg. Mech. Div. EM, ASCE 95 (1969) 143-165.
18. A. Pica, R.D. Wood and E. Hinton, Finite element analysis of geometrically nonlinear plate behaviour using a Mindlin formulation, Comput. Struct. 11 (1980) 203-215.
19. S. Ristic, The substructure technique for nonlinear analysis of thin plates and shells, Ph.D. Thesis, University of Queensland, Australia, 1996, submitted.
20. A.B. Sabir and A.C. Lock, The application of finite elements to the large deformation geometrically nonlinear behaviour of cylindrical shells, in: C.A. Brebbia and H. Tottenham, eds., Variational Methods in Engineering (Southampton University Press, London, 1973).
21. J.G. Simmonds and D.A. Danielson, Nonlinear shell theory with finite rotations and stress-function vectors, J. Appl. Mech., ASME 39 (1972) 1085-1090.
22. E. Stein, F. Gruttmann and K.H. Lambertz, Elastic-plastic analysis of thin shells and folded plate structures with finite rotations, in: W.B. Kratzig and E. Onate, eds., Computational Mechanics of Nonlinear Response of Shells (Springer-Verlag, 1990) 56-82.
23. J.J. Stoker, Nonlinear Elasticity (Nelson, 1968).
24. H. Stumpf, Buckling and post-buckling of shells for unrestricted and moderate rotations, in: E.L. Axelrad and F.A. Emmerling, eds., Flexible shells - Theory and Applications (Springer-Verlag, 1984).
25. H.S. Tan, Finite element analysis of the elastic, non-linear response of frames, plates and arbitrary shells to static loads, Ph.D. Thesis, University of Queensland, Australia, 1985.
26. G. Wempner, Finite element, finite rotations and small strains of flexible shells, Int. J. Solids Struct. 5 (1969) 117-153.