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General Information
Prof. Adrian Olaru
University Politehnica of Bucharest, Romania
I'm happy to take on the position of editor in chief of IJMO. It's a journal that shows promise of becoming a recognized journal in the area of modelling and optimization. I'll work together with the editors to help it progress.
IJMO 2011 Vol.1(3): 210-215 ISSN: 2010-3697
DOI: 10.7763/IJMO.2011.V1.37

Cyclic Loading of Beams Based on Kinematic Hardening Models: A Finite Element Approach

Ehsan Hashemi and Behrooz Farshi

Abstract—two major kinematic hardening models are employed in this article to study the behavior of Euler-Bernoulli beams by a finite element formulation of the plasticity problem. The proposed finite element formulation uses a variable stiffness matrix in each incremental step reflecting the yield surface movement. Moreover, complete formulation is presented for both load and deformation controlled cases. Examples are worked out for the Ziegler-Prager and the Armstrong-Frederick theories, to show the stress-strain behavior under cyclic symmetric and asymmetric flexural loading. The results have been graphically illustrated in plots of the stress-strain curves and are compared to the published and experimental ones. It was observed that Ziegler-Prager theory for isotropic cases with symmetric and asymmetric loading conditions. The presented simulation results confirm that the anisotropic cases with symmetric loading exhibit a ratcheting response. While the results show agreement with published ones; it was also observed that the two kinematic hardening theories do not show similar responses of reverse plasticity or ratcheting for Euler-Bernoulli beams in all the example cases.

Index Terms—Classical beams, Cyclic loading, Kinematic hardening, Ratcheting, Reverse plasticity

Ehsan Hashemi is with the Department of Industrial and Mechanical Engineering, Islamic Azad University, Qazvin Branch, Qazvin, Iran. (e-mail: e.hashemi@qiau.ac.ir).
Behrooz Farshi is with the Department of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran. (e-mail: farshi@iust.ac.ir).


Cite: Ehsan Hashemi and Behrooz Farshi, "Cyclic Loading of Beams Based on Kinematic Hardening Models: A Finite Element Approach," International Journal of Modeling and Optimization vol. 1, no. 3, pp. 210-215, 2011.

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