Dynamic constitutive model of Fe–Cr–Ni stainless steel based on isothermal true stress-strain curves

Chenchong Du, Feng Jiang, Bicheng Guo, Yong Zhang
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Abstract

Austenitic Fe–Cr–Ni stainless steel is widely used in aviation, chemistry, energy, due to its excellent properties of high-temperature performance. In this study, the splitting Hopkinson pressure bar with high-temperature system was employed to evaluate the dynamic mechanical properties of Fe–Cr–Ni stainless steel. The true stress-strain curves were obtained under varying conditions, including variable strains, strain rates and temperatures. The true stress increases and levels off as the true strain increases, while increases as the strain rate increases, but decreases sharply as the deformation temperature rises. The deformation temperature is consist of healing temperature and adiabatic temperature. The adiabatic temperature rise related to the specific heat capacity was calculated. The actual deformation temperatures were calculated under different strains by combining the true stress-strain curves. The true stress-strain curve under variable temperature was corrected to the stress-strain curve under isothermal state by using the thermal softening rate, which decoupled the strain and temperature. The Power-Law and Johnson-Cook constitutive models were fitted based on the real stress-strain isothermal curve. The fitting accuracy of Power-Law model was 1.61% for different strain rates at room temperature in average, 3.51% for fixed strain rate at different temperatures. While the fitting accuracy of Johnson-Cook model was 2.94% for different strain rates at room temperature in average, 6.18% for fixed strain rate at different temperatures.
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基于等温真实应力-应变曲线的 Fe-Cr-Ni 不锈钢动态构成模型
奥氏体 Fe-Cr-Ni 不锈钢因其优异的高温性能而被广泛应用于航空、化工、能源等领域。本研究采用了带有高温系统的霍普金森分裂压力棒来评估 Fe-Cr-Ni 不锈钢的动态力学性能。在不同的条件下,包括不同的应变、应变速率和温度下,获得了真实应力-应变曲线。真应力随着真应变的增加而增加,然后趋于平稳;真应变随着应变速率的增加而增加,但随着变形温度的升高而急剧下降。变形温度由愈合温度和绝热温度组成。计算得出的绝热温升与比热容有关。结合真实应力-应变曲线,计算出不同应变下的实际变形温度。利用热软化率将变温条件下的真实应力应变曲线修正为等温条件下的应力应变曲线,使应变和温度脱钩。根据真实应力-应变等温曲线拟合出 Power-Law 和 Johnson-Cook 构成模型。对于室温下的不同应变率,Power-Law 模型的拟合精度平均为 1.61%,对于不同温度下的固定应变率,拟合精度平均为 3.51%。而约翰逊-库克模型对室温下不同应变速率的拟合精度平均为 2.94%,对不同温度下固定应变速率的拟合精度平均为 6.18%。
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