Numerical Analysis on the Spatiotemporal Characteristics of the Portevin-Le Chatelier Effect in Ti-12Mo Alloy

Shiyuan LuoIRDL, Yongxin JiangIRDL, Sandrine ThuillierIRDL, Philippe CastanyISCR, Liangcai Zeng
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Abstract

A simplified 3D FE model based on McCormick's model is developed to numerically predict the spatiotemporal behaviors of the PLC effect in Ti-12Mo alloy tensile tests at 350 degrees C with strain rates from the order of $10^{-4}$ s$^{-1}$ to $10^{-2}$ s$^{-1}$. The material parameter identification procedure is firstly presented in details, and the simulated results are highly consistent with experimental ones, especially in terms of stress drop magnitudes and PLC band widths. The distribution of simulated stress drop magnitudes at a constant tensile velocity (0.01 mm/s) follows a normal distribution and its peak value is in the range of 26-28 MPa. Furthermore, the simulated band width slightly fluctuates with the increase of true strain and its average value is about 1.5 mm. Besides, the staircase behavior of strain-time curves and the hopping propagation of the PLC band are observed in Ti-12Mo alloy tensile process, which are related to the strain localization and stress drop magnitudes.
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钛-12Mo 合金中波特文-勒夏特列效应时空特征的数值分析
基于麦考密克模型建立了简化的三维有限元模型,以数值形式预测了应变速率从 10^{-4}$ s$^{-1}$ 到 10^{-2}$ s$^{-1}$ 的 350 摄氏度 Ti-12Moalloy 拉伸试验中 PLC 效应的时空行为。首先详细介绍了材料参数识别过程,模拟结果与实验结果高度一致,尤其是在应力降幅和 PLC 带宽方面。在恒定拉伸速度(0.01 毫米/秒)下,模拟应力压降的分布遵循正态分布,其峰值在 26-28 兆帕之间。此外,模拟带宽随真实应变的增加而略有波动,其平均值约为 1.5 mm。此外,在钛-12Mo 合金拉伸过程中观察到应变-时间曲线的阶梯行为和 PLC 带的跳跃传播,这与应变定位和应力下降幅度有关。
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