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Cyclic loading of beams based on the Chaboche model

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Abstract

The time independent non-unified version of the Chaboche constitutive model for the cyclic loading which includes the kinematic and isotropic hardening is discussed in detail. The performance of the Chaboche constitutive model in predicting ratcheting response of CS1026 steel for a broad set of mechanical uniaxial and biaxial loading histories is considered. A numerical iterative method is used to calculate the stresses and strains in beams due to cyclic loading. The reported experimental data of the stainless steel, available in the literature, is used for the verification of the results. It is concluded that the Chaboche model performs quite well in predicting the uniaxial ratcheting or shakedown responses. In addition, imposing the isotropic hardening effect to the constitutive equations results to lower ratcheting rate at initial cycles. While the kinematic hardening effect remains the major factor in prediction of the ratcheting response.

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Acknowledgment

The authors wish to thank the National Elite Foundations to provide the grant of this research.

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Authors and Affiliations

  1. Mechanical Engineering Department, Louisiana State University, CEBA building, Baton Rouge, LA, USA

    A. Shojaei

  2. Mechanical Engineering Department, Amirkabir University of Technology, Hafez Street, Tehran, Iran

    M. R. Eslami

  3. Mechanical Engineering Department, Islamic Azad University, Central Tehran Branch, Tehran, Iran

    H. Mahbadi

Authors
  1. A. Shojaei
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  2. M. R. Eslami
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  3. H. Mahbadi
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Correspondence to M. R. Eslami.

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Shojaei, A., Eslami, M.R. & Mahbadi, H. Cyclic loading of beams based on the Chaboche model. Int J Mech Mater Des 6, 217–228 (2010). https://doi.org/10.1007/s10999-010-9131-5

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