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
Author to whom correspondence should be addressed.
Received: 2 March 2019 / Revised: 15 March 2019 / Accepted: 16 March 2019 / Published: 21 March 2019
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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:
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
, time exponent
, strain rate
parameter are discussed. The yield stress
, saturation stress
, steady stress
and critical strain
are expressed as the functions of the
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.
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MDPI and ACS Style
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.
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(3):365.
Zhang, Yan; Fan, Qichao; Zhang, Xiaofeng; Zhou, Zhaohui; Xia, Zhihui; Qian, Zhiqiang. 2019. "Avrami Kinetic-Based Constitutive Relationship for Armco-Type Pure Iron in Hot Deformation." Metals 9, no. 3: 365.
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