Postbuckling performance of the TRIC natural mode triangular element for isotropic and laminated composite shells

Computer Methods in Applied Mechanics and Engineering

Volumn 166, Issue 3-4, 1998, Pages 211-231

  Argyris, John ^a   Tenek, Lazarus ^a   Papadrakakis, Manolis ^b   Apostolopoulou, Constantina ^b  

^a UNIVERSITY OF STUTTGART   (Germany)

^b NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

BUCKLING; COMPUTATIONAL GEOMETRY; DEFORMATION; LAMINATED COMPOSITES; SHELLS (STRUCTURES); STRUCTURAL ANALYSIS;

EULERIAN MOTION; NATURAL MODE TRIANGULAR ELEMENTS;

FINITE ELEMENT METHOD;

EID: 0032202664     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00071-1     Document Type: Article

References (20)

1. [1] M.A. Crisfield, Non-linear finite element analysis of solids and structures, Vol. 2: Advanced Topics (John Wiley and Sons, Ltd., West Sussex, UK, 1993).
2. [2] M. Papadrakakis, Solving large-scale non-linear problems in solid and structural mechanics, in: M. Papadrakakis, ed., Solving Large-Scale Problems in Mechanics (John Wiley and Sons, 1993) 183-223.
3. [3] J. Argyris, L. Tenek and L. Olofsson, Tric: a simple but sophisticated 3-node triangular element based on 6 rigid-body and 12 straining modes for fast computational simulations of arbitrary isotropic and laminated composite shells, Comput. Methods Appl. Mech. Engrg. 145 (1997) 11-85.
4. [4] J. Argyris and L. Tenek, Natural mode method: A practicable and novel approach to the global analysis of laminated composite plates and shells, Appl. Mech. Rev. 49 (1996) 381-400.
5. [5] L. Tenek and J. Argyris, Computational aspects of the natural-mode finite element method, Comm. Numer. Methods Engrg 13 (1997).
6. [6] J.H. Argyris and L. Tenek, An efficient and locking-free flat anisotropic plate and shell triangular element, Comput. Methods Appl. Mech. Engrg. 118 (1994) 63-119.
7. [7] J.H. 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. [8] E. Riks, An incremental approach to the solution of snapping and buckling problems, Int. J. Solids Struct. 15 (1979) 524-551.
9. [9] M.A. Crisfield, A fast incremental/iterative solution procedure that handles 'snap-through', Comput. Struct. 13 (1981) 55-62.
10. [10] E. Ramm, Strategies for tracing nonlinear responses near limit points, in: K.J. Bathe, E. Stein and W. Wunderlich, eds., Nonlinear Finite Element Analysis in Structural Mechanics (Springer-Verlag, 1981) 63-89.
11. [11] M. Papadrakakis, A truncated Newton-Lanczos method for overcoming limit and bifurcation points, Int. J. Numer. Methods Engrg. 29 (1990) 1065-1077.
12. [12] 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).
13. [13] K.H. Schweizerhof and P. Wriggers, Consistent linearization for path following methods in nonlinear FE analysis, Comput. Methods Appl. Mech. Engrg. 59 (1986) 261-279.
14. [14] W. Wagner, A note on FEM buckling analysis, Comm. Numer. Methods Engrg. 11 (1995) 149-158.
15. [15] A. Eriksson, On the numerical treatment of the stability properties of elastic equilibrium solutions, in: Publication TRITA-BRO-90001, Department of Structural Engineering, The Royal Institute of Technology, Sweden, 1990.
16. [16] J.-P. Juesette, G. Laschet and S. Idelsohn, An effective automatic incremental/iterative method for static nonlinear structural analysis, Comput. Struct. 32 (1989) 125-135.
17. [17] X. Peng and M.A. Crisfield, A consistent co-rotational formulation for shells using the constant stress/constant moment triangle, Int. J. Numer. Methods Engrg. 35 (1992) 1829-1847.
18. [18] E. Hinton and D.R.J. Owen, Finite Element Software for Plates and Shells (Pineridge Press, Swansea, UK, 1984).
19. [19] N. Stander, A. Matzenmiller and E. Ramm, An assessment of assumed strain methods in finite rotation shell analysis, Engrg. Comput. 6 (1989) 58-66.
20. [20] M.A. Crisfield and X. Peng, Short communication - Instabilities induced by coarse meshes for a nonlinear shell problem, Engrg. Comput. 13 (1966) 110-114.