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Strain-Compensated Arrhenius-Type Constitutive Model for Flow Behavior of Al-12Zn-2.4Mg-1.2Cu Alloy
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Strain-Compensated Arrhenius-Type Constitutive Model for Flow Behavior of Al-12Zn-2.4Mg-1.2Cu Alloy
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Nature Science Foundation of Ningbo (2014A6100061)

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    摘要:

    在Gleeble-3500热模拟试验机上进行了挤压态Al-12Zn-2.4Mg-1.2Cu合金的等温压缩试验,获得了温度523~723 K、真应变0.1~0.6和应变速率0.001, 0.01, 0.1和1 s-1下的应力应变试验数据。基于Arrhenius本构模型,采用了含有Zener-Holloman参数的幂指数方程来描述温度和应变速率对流变行为的影响。采用线性回归分析的方法,研究了不同温度和应变速率下,材料常数随应变的变化规律。结果表明:除加工硬化率n外,其他材料常数Q,α,β和lnA3的数值均随着应变数值的增大而呈现出增大趋势;同时拟合出不同试验条件下不同材料常数的应变补偿方程,并借助于调整判定系数进行了应变补偿材料常数方程的拟合优度分析,在此基础上建立了试验合金的应变补偿本构模型。通过对比,分析了不同试验条件下的真实应力-应变曲线和建立模型的预测应力-应变曲线,并以相关系数R和平均绝对误差(AARE)为评价因子研究了考虑应变补偿Arrhenius本构模型的可靠性和适宜性,预测结果与试验结果相比较的R和AARE数值分别为0.995 82和6.66%,表明该模型精度高,可靠性好。

    Abstract:

    The isothermal hot compression tests of as-extruded Al-12Zn-2.4Mg-1.2Cu alloy were performed on a Gleeble-3500 thermo-simulation machine. Based on the Arrhenius-type constitutive model, the experimental stress-strain data over a wide range of temperatures (523~723 K), strains (0.1~0.6) and strain rates (0.001, 0.01, 0.1 and 1 s-1) were employed to develop a suitable constitutive model to predict the elevated temperature flow behavior. The effects of temperature and strain rate on deformation behavior were represented by Zener-Holloman parameter in an exponent-type equation. The influence of strain was incorporated in constitutive analysis by considering the effect of strain on material constants. Suitability of the developed constitutive model was evaluated by comparing experimental and predicted data in terms of correlation coefficient (R) and average absolute relative error (AARE). Results show that the values of R and ARRE are 0.995 82 and 6.66%, respectively, which indicate that the developed model considering the compensation of stain can predict flow stress of experimental alloy and has good correlation and generalization.

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陈 刚,陈 伟,马 力,郭安振,吕 娟,张治民,郑顺奇. Strain-Compensated Arrhenius-Type Constitutive Model for Flow Behavior of Al-12Zn-2.4Mg-1.2Cu Alloy[J].稀有金属材料与工程,2015,44(9):2120~2125.[Chen Gang, Chen Wei, Ma Li, Guo Anzhen, Lü Juan, Zhang Zhimin, Zheng Shunqi. Strain-Compensated Arrhenius-Type Constitutive Model for Flow Behavior of Al-12Zn-2.4Mg-1.2Cu Alloy[J]. Rare Metal Materials and Engineering,2015,44(9):2120~2125.]
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  • 收稿日期:2014-11-18
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  • 在线发布日期: 2016-02-25
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