Second Order Nonlinear Inelastic Analysis of Composite Steel–Concrete Members. II: Applications
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Volume 132, Issue 5
Abstract
In the companion paper, a total Lagrangian finite element (FE) model was formulated for the second order nonlinear inelastic analysis of steel–concrete composite members. This paper describes the implementation of the incremental–iterative procedure for the FE model. It has been found that using the standard tangent modulus matrix in an incremental–iterative solution procedure may cause error accumulations. These errors in turn lead to an unsafe drift from the yield surfaces, and the yield criteria may be violated. Consequently, the quadratic asymptotic rate of convergence of the Newton–Raphson method is lost. To solve this problem, a consistent tangent modulus matrix is needed in the incremental–iteration solution process, and this is described. This paper presents the implementation of the FE model and shows how to use the constitutive models in the companion paper in association with the uniaxial stress–strain relations including that for confined concrete. Some of the applications of the FE model to various problems are also shown in this paper. The comparisons between numerical and experimental results demonstrate that the FE model provides excellent numerical performance for the nonlinear inelastic analysis of steel–concrete composite members.
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Acknowledgments
This work has been supported by an Australian Professorial Fellowship awarded to the second writer, and a Discovery Project awarded to the second and third writers, by the Australian Research Council.
References
Ansourian, P. (1981). “Experiments on continuous composite beams.” Proc., Inst. Civ. Eng., 71(2), 25–71.
Ayoub, A., and Fillippou, F. C. (2000). “Mixed formulation of nonlinear steel-concrete composite beam element.” J. Struct. Eng. 126(3), 371–381.
Bridge, R. Q. (1976). “Concrete filled steel tubular columns.” Civ. Eng. Trans., Institution of Engineers, Australia, 18, 127–133,
Chapman, J. C., and Balakrishnan, S. (1964). “Experiments on composite beams.” Struct. Eng. 42(11), 369–383.
Crisfield, M. A. (1986). “Snap-through and snap-back response in concrete structures and the dangers of underintegration.” Int. J. Numer. Methods Eng. 22, 751–767.
Gilbert, R. I., and Warner, R. F. (1978). “Tension stiffening in reinforced concrete slabs.” J. Struct. Div. ASCE 104(12), 1885–1900.
Han, L. H. (2000). “Tests on concrete filled steel tubular columns with high slenderness ratio.” Adv. Struct. Eng. 3(4), 337–344.
Hu, H. T., Huang, C. S., Wu, M. H., and Wu, Y. M. (2003). “Nonlinear analysis of axially loaded concrete-filled tube columns with confinement effect.” J. Struct. Eng.129(10), 1322–1329.
Huang, C. S., et al. (2002). “Axial load behaviour of stiffened concrete-filled steel columns.” J. Struct. Eng. 128(9), 1222–1230.
Lemaitre, L., and Chaboche, J. -L. (1994). Mechanics of solid materials, Cambridge University Press, Cambridge, U.K.
Loh, H. Y., Uy, B., and Bradford, M. A. (2004). “The behaviour of composite beams in hogging moment regions- Part I: Experimental study.” J. Constr. Steel Res. 60, 897–919.
McGarraugh, J. B., and Baldwin, J. W. (1971). “Lightweight concrete-on-steel composite beams.” Eng. J. 8(3), 90–98.
O’Brien, A. D., and Rangan, B. V. (1993). “Test on slender tubular steel columns filled with high strength concrete.” Australian Civil Engineering Trans., Institution of Engineers, Australia, CE35(4), 287–292.
Oehlers, D. J., and Bradford, M. A. (1995). “Composite steel and concrete structural members: Fundamental behaviour.” Pergamon Press, Oxford, U.K.
Pi, Y.- L., Bradford, B. A., and Uy, B. (2006). “Second order nonlinear inelastic analysis of composite steel-concrete members. I: Theory.” J. Struct. Eng. 132(5), 751–761.
Ranzi, G., Bradford, M. A., and Uy, B. (2004). “A direct stiffness analysis of composite beams.” Int. J. Numer. Methods Eng. (in press).
Richart, F. E., Brandtzaeg, A., and Brown, R. L. (1928). “A study of the failure of concrete under combined compressive stresses.” Bulletin 185, Univ. of Illinois Experimental Station, Champaign, Ill.
Saenz, L. P. (1964). “Discussion of equation for the stress-strain curve of concrete.” J. Am. Concr. Inst. 61(9), 1227–1239.
Schneider, S. P. (1988). “Axially loaded concrete-filled steel tubes.” J. Struct. Eng. 124(10), 1125–1138.
Simo, J. C., and Taylor, R. L. (1985). “Consistent tangent operators for rate-independent elastoplasticity.” Comput. Methods Appl. Mech. Eng.48(1), 101–118.
Warner, R. F., Rangan, B. V., Hall, A. S., and Faulkes, K. A. (1998). Concrete structures, Longman, Melbourne, Australia.
Zienkiewicz, O. C., and Taylor, R. L. (1989). The finite element method, 4th Ed., McGraw–Hill, New York.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 132 • Issue 5 • May 2006
Pages: 762 - 771
Copyright
© 2006 ASCE.
History
Received: Apr 20, 2004
Accepted: Jun 27, 2005
Published online: May 1, 2006
Published in print: May 2006
Notes
Note. Associate Editor: Sherif El-Tawil
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