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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 79
PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping and C.A. Mota Soares
Paper 150
Analytical Evaluation of Local Buckling Behaviour of H-Section Steel Members T. Ohtsuka+ and S. Motoyui*
+Department of Mechanical Systems Engineering, Toyama Prefectural University, Japan
Full Bibliographic Reference for this paper
T. Ohtsuka, S. Motoyui, "Analytical Evaluation of Local Buckling Behaviour of H-Section Steel Members", in B.H.V. Topping, C.A. Mota Soares, (Editors), "Proceedings of the Seventh International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 150, 2004. doi:10.4203/ccp.79.150
Keywords: local buckling, H-section steel member, multiple yield surfaces, softening, thermodynamics, plastic dissipation, beam element.
Summary
It is important to analyze the collapse behavior of designed structures. For the
strength degradation behavior of the structures composed of H-section member, it is
necessary to evaluate local buckling. In order to evaluate the influence of local
buckling, we usually use the finite element method with a discrete model, but it is
very costly to evaluate the local buckling using a discrete model because the model
requre many elements to acheve accurate results. So far, to analyze a huge structural
model economically, special simplified method like the simple plastic hinge model
and multi spring model were proposed and the strength degradation by the local
buckling was taken into account on their element. These elements indeed involve
characteristics of local buckling, but the theoritical background and validity of
mechanics in its treatment are not clear.
In previous papers, we proposed a useful beam element for truss beam involving
elastoplastic buckling of chord members [1]. In this method, we regard the effect of
the chord member's buckling as the softening, that is, multi yield surfaces in the
space of
In this formulation, we introduce an effective plastic-buckling components and an
effective elastic components of the nodal relative displacement. Then we consider
free energy with respect to this effective elastic displacement. And the
Clausius-Duhem inequality which means the second law of thermodynamics gives the elastic
constitutive equation and the plastic dissipation. Here, the principle of maximum
plastic dissipation is introduced to the elastoplastic local buckling behavior
subjected to the yielding condition according to the yielding or buckling reference
point. Then we obtain the evolution equations. Similar to truss beam, we evaluate
the influence of local buckling as softening. In this method, multi-surfaces for
yielding and buckling behavior are considered in the space of
Furthermore we show the numerical implementations to calculate nodal forces for the local buckling and examine the validity and the useful of our method through some numerical examples under monotonic and cyclic loading. References
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