A modified constitutive model based on Arrhenius-type equation to predict the flow behavior of Fe-36% Ni Invar alloy
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-yi Huang School of Metallurgic Engineering, Anhui University of Technology, Ma’Anshan 243000, China
Jian-jun Zheng State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang 110819, China (Received 25 March 2017; accepted 8 June 2017)
The predictability of modified constitutive model, based on Arrhenius type equation, for illustrating the flow behavior of Fe–36%Ni Invar alloy was investigated via isothermal hot compression tests. The hot deformation tests were carried out in a temperature range of 850–1100 °C and strain rates from 0.01 to 10 s1. True stress-true strain curves exhibited the dependence of the flow stress on deformation temperatures and strain rates, which then described in Arrhenius-type equation by Zener–Holloman parameter. Moreover, the related material constants and hot deformation activation energy (Q) in the constitutive model were calculated by considering the effect of strain as independent function on them and employing sixth polynomial fitting. Subsequently, the performance of the modified constitutive equation was verified by correlation coefficient and average absolute relative error which were estimated in accordance with experimental and predicted data. The results showed that the modified constitutive equation possess reliable and stable ability to predict the hot flow behavior of studied material under different deformation conditions. Meanwhile, Zener–Holloman parameter map was established according to the modified constitutive equation and used to estimate the extent of dynamic recrystallization.
I. INTRODUCTION
It is well known that the hot deformation processes (forging, rolling, and extruding et al.) of metals and alloys are extremely complex and regarded as a crucial part in the industrial production.1–3 In this context, a considerable amount of research has been devoted to acquire the accurate predictability of the material models to simulate the deformation process. Moreover, the modeling of hot deformation behavior is generally established through the constitutive equations. Accordingly, a number of constitutive models have occurred through hot compressive or tensile experiments to clarify the relationship between the flow stress and deformation parameters (i.e., temperatures and strain rates) for different metals and alloys so as to better guide the hot working process.4–7 According to recent research, Samantaray et al.8 carried out a study to compare the predictability of Johnson–Cook (JC), modified Zerilli–Armstrong (ZA) and strain-compensated Arrhenius-type constitutive Contributing Editor: Michael E. McHenry a) Address all correspondence to this author. e-mail: [email protected] DOI: 10.1557/jmr.2017.259
models for the flow behavior of 9Cr–1Mo steel, and eventually found that Arrhenius-type constitutive models revealed a higher prediction accuracy than the other models in the hot working domain. Abbasi-Bani et al.9 introduced two phenomenological constitutive equations (Johnson Cook and Arrhenius-type ones) to depict the high temperature flow behavior of M
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