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A Piecewise Linear Isotropic-Kinematic Hardening Model with Semi-Implicit Rules for Cyclic Loading and Its Parameter Identification

M. Ohsaki1, T. Miyamura2, J. Y. Zhang3
Department of Architecture, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima 739-8527, Japan; Currently, Department of Architecture and Architectural Engineering, Kyoto University, Kyoto-Daigaku Katsura, Nishikyo, Kyoto 615-8540, Japan,
Department of Computer Science, Nihon University, 1 Nakagawara, Tokusada, Tamura, Koriyama 963-8642, Japan,
Department of Architecture and Urban Design, Nagoya City University, 2-1-10 Kita-Chigusa, Chigusa, Nagoya 464-0083, Japan,

Computer Modeling in Engineering & Sciences 2016, 111(4), 303-333.


A simple constitutive model, called semi-implicit model, for cyclic loading is proposed for steel materials used for structures such as building frames in civil engineering. The constitutive model is implemented in the E-Simulator, which is a software package for large-scale seismic response analysis. The constitutive relation is defined in an algorithmic manner based on the piecewise linear combined isotropic-kinematic hardening. Different rules are used for the first and subsequent loading states to incorporate characteristics such as yield plateau and Bauschinger effect of rolled mild steel materials. An optimization method is also presented for parameter identification from the results of cyclic and monotonic loading tests. Therefore, the proposed model is readily applicable to practical elastoplastic analysis of building frames. Accuracy of the model is demonstrated in an example of a cantilever subjected to various types of cyclic loading.


Combined isotropic-kinematic hardening, Piecewise linear hardening, Steel material, Parameter optimization, Cyclic load

Cite This Article

Ohsaki, M., Miyamura, T., Zhang, J. Y. (2016). A Piecewise Linear Isotropic-Kinematic Hardening Model with Semi-Implicit Rules for Cyclic Loading and Its Parameter Identification. CMES-Computer Modeling in Engineering & Sciences, 111(4), 303–333.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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