基于修正Johnson-Cook本构模型的Cu-Sn合金热变形行为

Thermal deformation behavior of the Cu-Sn alloy based on the modified Johnson-Cook constitutive model

  • 摘要: 为了研究Cu-Sn合金的应变速率、变形温度和应变量对其微观结构和力学性质的影响规律,在550~700 ℃,应变速率为0.001~10 s-1的情况下,利用Gleeble-3800型高温模拟试验装置对其进行了热压缩试验。本文研究了铜锡合金在不同温度下的真应力-真应变关系,并构建了相应的新的Johnson-Cook(JC)本构关系。研究发现,铜锡合金在变形过程中,其流变应力随变形速度、变形温度的升高而增大;采用传统JC模型进行预测时,其平均相对误差(AARE)和相关系数(R)分别为34.698 7%和0.969 6;经改进的JC模型预测,其AARER分别为7.896 7%和0.972 7。所以,改进后的JC本构模型可以更精确地反映铜锡合金在高温下的流变性能。

     

    Abstract: To study the influence of strain rate, deformation temperature, and strain on the microstructure and mechanical properties of Cu-Sn alloys, high-temperature and high-pressure tests were conducted using a Gleeble-3800 high-temperature simulation test apparatus at temperatures ranging from 550 to 700℃ and strain rates from 0.001 to 10 s-1. The true stress-strain relationship of copper-tin alloys at different temperatures was investigated, and a new Johnson-Cook (JC) constitutive relationship was established accordingly. The study shows that during deformation, the rheological stress of copper-tin alloys increases with the deformation rate and temperature. Using the traditional JC model for prediction, the mean relative error (AARE) and correlation coefficient (R) were 34.698 7% and 0.969 6, respectively. With the improved JC model, the AARE and correlation coefficient R were 7.896 7% and 0.972 7, respectively. Therefore, the improved JC constitutive relationship better matches the experimental data and can more accurately reflect the rheological properties of copper-tin alloys at high temperatures.

     

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