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- Title
Avrami Kinetic-Based Constitutive Relationship for Armco-Type Pure Iron in Hot Deformation.
- Authors
Zhang, Yan; Fan, Qichao; Zhang, Xiaofeng; Zhou, Zhaohui; Xia, Zhihui; Qian, Zhiqiang
- 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.
- Subjects
AVRAMI equation; STRESS-strain curves; STRAIN hardening; YIELD stress; STRAIN rate; DISLOCATION structure
- Publication
Metals (2075-4701), 2019, Vol 9, Issue 3, p365
- ISSN
2075-4701
- Publication type
Article
- DOI
10.3390/met9030365