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Metals 2019, 9(3), 365; https://doi.org/10.3390/met9030365

Avrami Kinetic-Based Constitutive Relationship for Armco-Type Pure Iron in Hot Deformation

Institute of Machinery Manufacturing Technology, Chinese Academy of Engineering Physics, Mianyang 621900, China
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Received: 2 March 2019 / Revised: 15 March 2019 / Accepted: 16 March 2019 / Published: 21 March 2019
(This article belongs to the Special Issue Constitutive Modelling for Metals)
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Abstract

The work presents a full mathematical description of the stress-strain compression curves in a wide range of strain rates and deformation temperatures for Armco-type pure iron. The constructed models are based on a dislocation structure evolution equation (in the case of dynamic recovery (DRV)) and Avrami kinetic-based model (in the case of dynamic recrystallization (DRX)). The fractional softening model is modified as: X = ( σ 2 σ r 2 ) / ( σ d s 2 σ r 2 ) considering the strain hardening of un-recrystallized regions. The Avrami kinetic equation is modified and used to describe the DRX process considering the strain rate and temperature. The relations between the Avrami constant k , time exponent n , strain rate ε ˙ , temperature T and Z parameter are discussed. The yield stress σ y , saturation stress σ r s , steady stress σ d s and critical strain ε c are expressed as the functions of the Z parameter. A constitutive model is constructed based on the strain-hardening model, fractional softening model and modified Avrami kinetic equation. The DRV and DRX characters of Armco-type pure iron are clearly presented in these flow stress curves determined by the model. View Full-Text
Keywords: Avrami kinetic; constitutive model; dynamic recovery; dynamic recrystallization; hot deformation; pure iron Avrami kinetic; constitutive model; dynamic recovery; dynamic recrystallization; hot deformation; pure iron
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Zhang, Y.; Fan, Q.; Zhang, X.; Zhou, Z.; Xia, Z.; Qian, Z. Avrami Kinetic-Based Constitutive Relationship for Armco-Type Pure Iron in Hot Deformation. Metals 2019, 9, 365.

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