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Prediction of Single-Peak Flow Stress Curves at High Temperatures Using a New Logarithmic-Power Function

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Abstract

In this study, using a nonlinear estimation of strain hardening rate versus strain, a new phenomenological constitutive equation is developed. Utilizing the presented model, three new equations were presented to determine the peak strain, critical strain for initiation of dynamic recrystallization (DRX), and transition strain associated with the maximum softening rate of DRX. Also, two temperature and strain rate-sensitive parameters were introduced to generate flow stress curve at any desired deformation conditions. The predicted results were found to be in a good agreement with the ones measured experimentally. Maximum errors in prediction of peak strain, critical strain, and transition strain were about 8, 11, and 4%, respectively. In addition, evaluation of maximum errors in prediction of flow stress indicates that the presented constitutive equation gives a more precise estimation of flow stress curves in comparison with the previous models pertaining modeling of single-peak flow stress curves.

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Authors and Affiliations

  1. Department of Mining and Metallurgical Engineering, Amirkabir University of Technology, Tehran, Iran

    Ehsan Shafiei & Kamran Dehghani

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  1. Ehsan Shafiei
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  2. Kamran Dehghani
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Correspondence to Kamran Dehghani.

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Shafiei, E., Dehghani, K. Prediction of Single-Peak Flow Stress Curves at High Temperatures Using a New Logarithmic-Power Function. J. of Materi Eng and Perform 25, 4024–4035 (2016). https://doi.org/10.1007/s11665-016-2228-8

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  • DOI: https://doi.org/10.1007/s11665-016-2228-8

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