Abstract
The hot deformation behavior of a high strength low carbon steel was investigated using hot compression test at the temperature range of 850–1100 °C and under strain rates varying from 0.001 to 1 s−1. It was found that the flow curves of the steel were typical of dynamic recrystallization at the temperature of 950 °C and above; at tested strain rates lower than 1 s−1. A very good correlation between the flow stress and Zener–Hollomon parameter was obtained using a hyperbolic sine function. The activation energy of deformation was found to be around 390 kJ mol−1. The kinetics of dynamic recrystallization of the steel was studied by comparing it with a hypothetical dynamic recovery curve, and the dynamically fraction recrystallized was modeled by the Kolmogorov–Johnson–Mehl–Avrami relation. The Avrami exponent was approximately constant around 1.8, which suggested that the type of nucleation was one of site saturation on grain boundaries and edges.
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Appendix
Appendix
It is known through curve fitting that \(\sigma = y\left( \varepsilon \right)\), and further \(\theta = d\sigma /d\varepsilon = y^{\prime}\left( \varepsilon \right)\). Thus, it can be written:
According to the chain rule
Similarly,
when in Eq. (19) \(d\rho /d\varepsilon = 0\), it can be considered that there is an equilibrium in net formation and annihilation of dislocations with proceeding deformation; according to the Eq. (18), it gives that:
where ρs is the saturated dislocation density. The stress corresponding to this condition is the saturated stress (σs) shown on the DRV curve of Fig. 1, which can be calculated using Eq. (20) as:
rearranging the Eq. (20) gives:
Through differentiation, it leads to:
and by inserting Eqs. (30), (31) and (32) in Eq. (16), we come to:
That, finally, leads to the Eq. (23).
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Shahriari, B., Vafaei, R., Mohammad Sharifi, E. et al. Modeling Deformation Flow Curves and Dynamic Recrystallization of BA-160 Steel During Hot Compression. Met. Mater. Int. 24, 955–969 (2018). https://doi.org/10.1007/s12540-018-0113-8
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DOI: https://doi.org/10.1007/s12540-018-0113-8