Direct determination of asymptotic structural postbuckling behaviour by the finite element method

International Journal for Numerical Methods in Engineering

Volumn 42, Issue 4, 1998, Pages 685-702

  Poulsen, Peter Noe ^a   Damkilde, Lars ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Asymptotic postbuckling; Finite element method; Smooth stresses; Stability

Indexed keywords

BUCKLING; CONVERGENCE OF NUMERICAL METHODS; DYNAMIC RESPONSE; FINITE ELEMENT METHOD; STRESS ANALYSIS;

ASYMPTOTIC POSTBUCKLING;

STRUCTURAL ANALYSIS;

EID: 0032097209     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19980630)42:4<685::AID-NME381>3.0.CO;2-9     Document Type: Article

References (20)

1. T. von Kármán, L. G. Dunn and H. S. Tsien, 'The influence of curvature on the buckling characteristics of structures', J. Aeronaut. Sci., 7(7), 276-289 (1940).
2. W. T. Koiter, 'On the Stability of Elastic Equilibrium', Dissertation, Delft University, H. J. Paris, Amsterdam; also NASA TT-F10, 833 (1967); also Air Force Flight Dynamics Laboratory, AFFDL-TR-70-25, (1970), 1945 (in Dutch).
3. W. T. Koiter, 'On the Stability of Elastic Equilibrium', Dissertation, Delft University, H. J. Paris, Amsterdam; also NASA TT-F10, 833 (1967); also Air Force Flight Dynamics Laboratory, AFFDL-TR-70-25, (1970), 1945 (in Dutch).
4. W. T. Koiter, 'General theory of mode interaction in stiffened plate and shell structures', Report WTHD-91, Delft University of Technology, Delft, The Netherlands, 1976.
5. E. Byskov and J. W. Hutchinson, 'Mode interaction in axially stiffened cylindrical shells', AIAA J., 15(7), 941-948 (1977).
6. L. Damkilde, Stability of plates of elastic-plastic material, Ph.D. Thesis, Department of Structural Engineering, Technical University of Denmark, 1984. R 187.
7. J. F. Olesen and E. Byskov, 'Accurate determination of asymptotic postbuckling stresses by the finite element method', Comp. Struct., 15(2), 157-163 (1982).
8. E. Byskov, 'Smooth postbuckling stresses by a modified finite element method', Int. J. Numer. Meth. Engng., 28, 2877-2888 (1989).
9. H. Møllmann and P. Goltermann, 'Interactive buckling in thin-walled beams - I. theory', Int. J. Solids Struct., 25(7), 715-728 (1989).
10. M. Pignataro, A. Di Carlo and R. Casciaro, 'On nonlinear beam model from the point of view of computational post-buckling analysis', Int. J. Solids Struct., 18(4), 327-347 (1982).
11. R. Casciaro, G. Salerno and A. D. Lanzo, 'Finite element asymptotic analysis of slender elastic structures: A simple approach', Int. J. Numer. Meth. Engng., 35, 1397-1426 (1992).
12. A. D. Lanzo, G. Garcea and R. Casciaro, 'Asymptotic post-buckling analysis of rectangular plates by HC finite elements', Int. J. Numer. Meth. Engng., 38, 2325-2345 (1995).
13. A. D. Lanzo and G. Garcea, 'Koiter's analysis of thin-walled structures by a finite element approach', Int. J. Numer. Meth. Engng., 39, 3007-3031 (1996).
14. B. Budiansky and J. W. Hutchinson, 'Dynamic buckling of imperfection-sensitive structures', Proc. 11th Int. Congress on Applied Mechanics, 1964, pp. 636-651.
15. W. T. Koiter, 'Post-buckling analysis of a simple two-bar frame', in Recent Progress in Applied Mechanics-The Folke Odquist Volume, 1967, pp. 337-354.
16. M. Pignataro, A. Di Carlo and N. Rizzi, 'A discussion on "Accurate determination of asymptotic post-buckling stresses by the finite element method" by J. F. Olesen and E. Byskov', Comp. Struct., 21(5), 933-935 (1985).
17. J. Roorda, 'Stability of structures with small imperfections', J. Engng. Mech. Division, 91(EM1), 87-106 (1965).
18. J. M. T. Thompson and G. W. Hunt, Elastic Instability Phenomena, Wiley, New York, 1984.
19. P. N. Poulsen and L. Damkilde, 'A flat triangular shell element with loof nodes', Int. J. Numer. Meth. Engng., 39, 3867-3887 (1996).
20. P. N. Poulsen, 'Nonlinear plate and shell elements for structural analysis', Ph.D. Thesis, Technical University of Denmark, 1997, to be published.