An approach in parametric identification of high strain rate constitutive model using Hopkinson pressure bar test results

An approach in parametric identification of high strain rate constitutive model using Hopkinson pressure bar test results
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DOI:
10.1016/j.msea.2010.02.025
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发表时间:
2010-06
影响因子:
6.4
通讯作者:
M. Sedighi;M. Khandaei;H. Shokrollahi
M. Sedighi;M. Khandaei;H. Shokrollahi
中科院分区:
材料科学1区
文献类型:
--
作者:
M. Sedighi;M. Khandaei;H. Shokrollahi

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在目前的工作中,已介绍了一种优化方法的基础上Levenberg-Marquardt方法来识别两种不同的材料本构模型在高应变率下的参数。该方法已被用于识别两种不同的钢,即1018和4340钢在一定的应变速率范围内的参数。实验数据取自文献中的分离式霍普金森压杆数据。首先,实验数据已被处理使用的有限元优化程序,其中变形已被施加到一个标本。通过最小化从实验数据中数值获得的应力-应变曲线的标准差,计算了Johnson-Cook(JC)和Zerilli-Armstrong(ZA)本构模型的最佳材料常数集。然后,新的程序和新的识别参数已被成功地验证。已经表明,数值算法对参数的初始猜测具有非常低的依赖性。最后,证明了该算法的稳定性,并可以从高斯噪声的数据中获得可接受的结果。
In the present work, an optimization approach has been introduced based on Levenberg–Marquardt method to identify the parameters of two different material constitutive models at high strain rate. This new procedure has been used to identify the parameters of two different steels, i.e. 1018 and 4340 steel within definite strain rate ranges. The experimental data has been taken from the split Hopkinson pressure bar data found in the literature. Firstly, the experimental data have been processed using the finite element optimization procedure in which the deformation has been applied to a specimen. An optimal set of material constants for Johnson–Cook (JC) and Zerilli–Armstrong (ZA) constitutive models have been computed by minimizing the standard deviation of the numerically obtained stress–strain curve from the experimental data. Then, the new procedure and new identified parameters have been validated successfully. It has been shown that the numerical algorithm has a very low dependency on the initial guess for the parameters. Finally, it has been shown that the algorithm is stable, and acceptable results can be obtained from data with Guassian noise.