Vol. 5, No. 3, pp. 224-236 (2009)
PRACTICAL FINITE ELEMENT PROCEDURE FOR ACHIEVING MESH
OBJECTIVITY IN LOCAL BUCKLING ANALYSIS OF STEEL STRUCTURES BY BEAM ELEMENTS
Eiki Yamaguchi
Professor, Department of Civil Engineering,
Kyushu Institute of Technology, Tobata, Kitakyushu, Japan
E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received: 31 May 2007; Revised: 24 March 2008; Accepted: 27 March 2008
 View Article |
Export Citation:Plain Text | RIS | Endnote |
ABSTRACT:
Since the nonlinear finite element analysis of a steel structure by shell/solid elements is expensive, effort has been made to conduct the local buckling analysis of a steel structure by beam elements. To this end, the structural deterioration due to local buckling of a steel member is implemented in constitutive relationship. The approach inevitably leads to the constitutive relationship of softening type, which however does not readily yield mesh objective result. The present study proposes a finite element procedure to overcome the problem: in a local-buckling zone, average state variables instead of local state variables are used. The effectiveness of the proposed procedure is verified by solving example problems. Moreover, the applicability of a simple trilinear type of constitutive relationship associated with the proposed beam-element analysis is investigated in comparison with shell-element analysis by ABAQUS.
KEYWORDS:
Steel structure; local buckling; beam element; mesh objective; softening-type constitutive relationship
REFERENCES
[1] Public Works Research Institute et al., “Seismic Design for Highway Bridge Piers”, Technical Report of Joint Research, PWRI, Ministry of Construction, Japan, 1997.
[2] Goto, Y., Wang, Q. and Obata, M., “FEM Analysis for Hysteretic Behavior of Thin-walled Column”, Journal of Structural Engineering, ASCE, 1998, Vol. 124, pp. 1290-1301.
[3] Yamaguchi, E., Nagamatsu, T. and Kubo, Y., “Influence of Finite Element Mesh on Buckling Analysis of Steel Pipe-sectioned Bridge Piers”, Fifth World Congress on Computational Mechanics (WCCM V), Paper No. 80566, 2002.
[4] Yamaguchi, E., Abe, K. and Kubo, Y, “Analysis of Steel Bridge Piers Undergoing Local Buckling by Beam Elements”, Proceedings of 5th International Colloquium on Stability and Ductility of Steel Structures, 1997, pp. 267-272.
[5] Sakimoto, T., Watanabe, H. and Nakashima, K., “Hysteretic Models of Steel Box Members with Local Buckling Damage”, Journal of Structural Mechanics and Earthquake Engineering, JSCE, 2000, No.647/I-51, pp. 343-355.
[6] Watanabe, H. and Sakimoto, T., “Seismic Response Analysis of Concrete-filled Steel Box Piers Considered on Local Buckling”, Journal of Structural Mechanics and Earthquake Engineering, JSCE, 2000, No. 647/I-51, pp. 357-368.
[7] Little, G.H., “Rapid Analysis of Plate Collapse by Live Energy Minimisation", International Journal of Mechanical Science, 1974, Vol. 19, No. 12, pp. 725-744.
[8] Hillerborg, A., Modeer, M. and Peterson, P.E., “Analysis of Crack Formation and Crack Growth in Concrete by Means of Fracture Mechanics and Finite Elements”, Cement and Concrete Research, 1976, Vol. 6, pp. 773-782.
[9] Bazant, Z.P. and Oh, B.H., “Crack Band Theory for Fracture of Concrete”, Materials and Structures, RILEM, 1983, Vol. 16, pp. 155-177.
[10] Yamaguchi, E. and Chen, W.F., “Cracking Model for Finite Element Analysis of Concrete Materials”, Journal of Engineering Mechanics, ASCE, 1990, Vol. 116, pp. 1242-1260.
[11] Cook, R.D., Malkus, D.S. and Plesha, M.E., “Concepts and Applications of Finite Element Analysis”, 3rd Edition, New York , NY, John Wiley & Sons, 1989.
[12] Nishino, F. and Hasegawa, A., "Elastic Analysis of Structures", Gihoudo, 1983.
[13] Usami, T. (editor), “Guidelines for Seismic and Damage Control Design of Steel Bridge”, Tokyo, Japan, Gihodo, 2006.
[14] Bazant, Z.P., “Nonlocal Damage Theory Based on Micromechanics of Crack Interactions”, Journal of Engineering Mechanics, ASCE, 1994, Vol. 120, pp. 593-617.
[15] Khaloo, A.R. and Tariverdilo, S., “Localization Analysis of Reinforced Concrete Members with Softening Behavior”, Journal of Structural Engineering, 2002, Vol. 128, pp.1148-1157.
[16] ABAQUS/Standard User’s Manual, Ver.5.7, HKS, 1997.