Steel and Composite Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Modeling of local buckling in tubular steel frames by using plastic hinges with damage

  • Published : 2002.02.25
⟨ Previous Next ⟩

Abstract

A model of the process of local buckling in tubular steel structural elements is presented. It is assumed that this degrading phenomenon can be lumped at plastic hinges. The model is therefore based on the concept of plastic hinge combined with the methods of continuum damage mechanics. The state of this new kind of inelastic hinge is characterized by two internal variables: the plastic rotation and the damage. The model is valid if only one local buckling appears in the plastic hinge region; for instance, in the case of framed structures subjected to monotonic loadings. Based on this damage model, a new finite element that can describe the development of local buckling is proposed. The element is the assemblage of an elastic beamcolumn and two inelastic hinges at its ends. The stiffness matrix, that depends on the level of damage, the yielding function and the damage evolution law of the two hinges define the new finite element. In order to verify model and finite element, several small-scale frames were tested in laboratory under monotonic loading. A lateral load at the top of the frame was applied in a stroke-controlled mode until local buckling appears and develops in several locations of the frame and its ultimate capacity was reached. These tests were simulated with the new finite element and comparison between model and test is presented and discussed.

Keywords

References

  1. Chaboche, J.-L. (1978), "Description thermodynamique et phenemenologique de la viscoplasticite avec endommagement", (in French), Doctoral Thesis, University of Paris VI, France.
  2. Chan, S.L., Kitipornchai S. and Faris, G.A. (1991), "Elasto-plastic analysis of box-beam-columns including local buckling effects", J. Struct. Engrg., ASCE 117(1), 1946-1962. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:7(1946)
  3. Chen W.F. and Sohal I. (1995), Plastic Design and Second-Order Analysis of Steel Frames Springer-Verlag, NY.
  4. "Collapse tests of short tubular columns subjected to combined loads", (1985), Final rep. Prepared by Penzoil/ Joint Industry Project, Chicago Bridge and Iron, Plainfield, III.
  5. "Effects of external hydrostatic pressure on tubular beam-columns", (1988), Final Rep. Proj. No. 06-1184, American Petroleum Institute, San Antonio, Tex.
  6. Faella, C., Mazzolani, F.M., Piluso, V. and Rizzano, G. (2000), "Local buckling of aluminum members: testing and classification", J. Struct. Engrg., ASCE 126(3), 353-360. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:3(353)
  7. Febres, R. (2002), "A damage model for steel planar frames under hysteretic loading", (in Spanish) PhD Thesis University of Los Andes, Venezuela,
  8. "Eurocode 9: design of aluminum alloy structures. part 1.1. (1998). PrENV 1999-1.1, European Committee for Standardization, Brussels, Belgium.
  9. Florez-Lopez, J. (1998), "Frame analysis and continuum damage mechanics" J. Eur. Mech. 17(2), 269-283.
  10. "Hydrostatic beam-column tests (phase II)", (1989). Final Rep., Contract No C92731, American Petroleum Institute Project N0. 87-56, Chicago Bridge and Iron, Plainfield, III.
  11. Inglessis, P. (2000), "Modelado del comportamiento de porticos de acero mediante la teoria del dano concentrado", (in Spanish). Doctoral Thesis, University of Los Andes, Venezuela.
  12. Inglessis, P., Gomez, G., Quintero, G., and Florez-Lopez, J. (1999), "Model of damage for steel frame members", Engrg. Struct., 21(10), 954-964. https://doi.org/10.1016/S0141-0296(98)00038-8
  13. Inglessis, P., Medina, S., Lopez, A. and Florez-Lopez, J. (2000), "Modeling of cracking and local buckling in steel frames by using plastic hinges with damage", Proc. Int. Conf. On Behavior of steel structures in seismic areas STESSA 2000, Montreal, Canada.
  14. Ju, G.T. and Kyriakides, S. (1992), "Bifurcation and localization instabilities in cylindrical shells under bending II. Predictions", Int. J. Solids and Struct., 29(9), 1143-1171. https://doi.org/10.1016/0020-7683(92)90140-O
  15. Karamanos, S.A. and Tassoulas J.L. (1996), "Tubular members. II: Local buckling and experimental verification", J. Engrg. Mech., ASCE, 122(1), 72-78. https://doi.org/10.1061/(ASCE)0733-9399(1996)122:1(72)
  16. Key, P.W. and Hancock, G.J. (1985), "An experimental investigation of the column behavior of cold-formed square hollow section", Res. Report No. R493, Department of Civil and Mining Engineering, University of Sydney, Sydney, New South Wales, Australia.
  17. Kyriakides, S. and Ju, G.T. (1992), "Bifurcation and localization instabilities in cylindrical shells under bending I. Experiments", Int. J. Solids and Struct., 29(9), 1117-1142. https://doi.org/10.1016/0020-7683(92)90139-K
  18. Mazzolani, F.M., Piluso, V. (1992), "Evaluation of the rotation capacity of steel beams and beam-columns", Proc., 1st COST C1 Workshop, Strasbourg, 517-529.
  19. Medina, S. (1998), "Evaluacion de un modelo de daño para porticos de acero", (in Spanish). MsC. Thesis, University of Los Andes, Venezuela.
  20. Perdomo, M.E., Ramirez, A. and Florez-Lopez, J. (1999), "Simulation of damage in RC frames with variable axial forces", Earthquake Engrg. & Struct. Dyn. 28(3), 311-328. https://doi.org/10.1002/(SICI)1096-9845(199903)28:3<311::AID-EQE819>3.0.CO;2-D
  21. Reddy, B.D. (1979), "An experimental study of the plastic buckling of circular cylinders in pure bending", Int. J. Solids and Struct., 15, 669-683. https://doi.org/10.1016/0020-7683(79)90066-0
  22. Sohal, S.I. and Chen, W.F. (1987), "Local buckling and sectional behavior of fabricated tubes", J. Struct. Engrg., ASCE, 113(3), 519-533. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:3(519)

Cited by

  1. Element-size independent, elasto-plastic damage analysis of framed structures using the adaptively shifted integration technique vol.89, pp.23-24, 2011, https://doi.org/10.1016/j.compstruc.2011.09.002
  2. Analysis of localization in frame members with plastic hinges vol.41, pp.14, 2004, https://doi.org/10.1016/j.ijsolstr.2004.02.014
  3. Portal of damage: a web-based finite element program for the analysis of framed structures subjected to overloads vol.36, pp.5, 2005, https://doi.org/10.1016/j.advengsoft.2004.06.017
  4. Model of local buckling in steel hollow structural elements subjected to biaxial bending vol.63, pp.6, 2007, https://doi.org/10.1016/j.jcsr.2006.08.006
  5. Modeling of local buckling in tubular steel frames subjected to cyclic loading vol.81, pp.22-23, 2003, https://doi.org/10.1016/S0045-7949(03)00292-X