Uncertainty quantification of magnetically driven quasi-isentropic compression experiments based on the Monte Carlo method

PAN Xintong; LUO Binqiang; ZHANG Xuping; PENG Hui; CHEN Xuemiao; WANG Guiji; TAN Fuli; ZHAO Jianheng; SUN Chengwei

doi:10.11883/bzycj-2022-0408

Volume 43 Issue 3

Mar. 2023

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PAN Xintong, LUO Binqiang, ZHANG Xuping, PENG Hui, CHEN Xuemiao, WANG Guiji, TAN Fuli, ZHAO Jianheng, SUN Chengwei. Uncertainty quantification of magnetically driven quasi-isentropic compression experiments based on the Monte Carlo method[J]. Explosion And Shock Waves, 2023, 43(3): 031101. doi: 10.11883/bzycj-2022-0408

Citation:

PAN Xintong, LUO Binqiang, ZHANG Xuping, PENG Hui, CHEN Xuemiao, WANG Guiji, TAN Fuli, ZHAO Jianheng, SUN Chengwei. Uncertainty quantification of magnetically driven quasi-isentropic compression experiments based on the Monte Carlo method[J]. Explosion And Shock Waves, 2023, 43(3): 031101. doi: 10.11883/bzycj-2022-0408

Citation:

PAN Xintong, LUO Binqiang, ZHANG Xuping, PENG Hui, CHEN Xuemiao, WANG Guiji, TAN Fuli, ZHAO Jianheng, SUN Chengwei. Uncertainty quantification of magnetically driven quasi-isentropic compression experiments based on the Monte Carlo method[J]. Explosion And Shock Waves, 2023, 43(3): 031101. doi: 10.11883/bzycj-2022-0408

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Uncertainty quantification of magnetically driven quasi-isentropic compression experiments based on the Monte Carlo method

doi: 10.11883/bzycj-2022-0408

1.
Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621999, Sichuan, China
2.
Institute of Applied Electronics, China Academy of Engineering Physics, Mianyang 621999, Sichuan, China

Received Date: 2022-09-22
Rev Recd Date: 2022-12-19

Available Online: 2023-02-08

Publish Date: 2023-03-05

Abstract

Abstract

Magnetically driven quasi-isentropic compression is one of the important experimental techniques to study high-pressure physics and dynamic behaviors of materials under off Hugoniot states. It is of great significance to carry out quantitative evaluation of experimental uncertainty. By combining with the process analysis of magnetically driven quasi-isentropic compression experiments and two forward data processing methods, an uncertainty quantitative evaluation method was established for such experiments based on the Monte Carlo method (MCM). The uncertainty quantification evaluations of physical quantities such as sound speed, stress, strain, and the parameters of equations of state and constitutive models were realized. Compared with the conventional method such as guide to the expression of uncertainty in measurement (GUM), the MCM uncertainty evaluation is more applicable to the cases in which the probability distribution of the input quantities is non-symmetric and the measurement model is non-linear. In fact, the uncertainty evaluation results obtained by the MCM is reasonable and not the ones under the maximum estimation condition. Employing the law of large numbers, nested cycle setting of the probability density functions (PDF) and nested loop construction of virtual samples makes the uncertainty evaluation results more accurate. By using the established MCM uncertainty evaluation method, the uncertainty evaluations of the experimental results of tantalum and copper samples under magnetically-driven quasi-isentropic compression were quantitatively analyzed firstly. The results are consistent with the data proposed in the literatures, which proves the correctness and reliability of our method. And then, the quantitative evaluation was conducted on magnetically-driven quasi-isentropic compression experiments of NiTi alloy carried out on a CQ-4 device. The results show that the experiments on the CQ-4 device are reliable and precise for high-pressure physics and material dynamics studies. Finally, the error correlation and sensitivity of magnetically-driven quasi-isentropic compression experiments were discussed in depth, and the results show that the measurements of step sample thickness and particle velocity are the main factors affecting the experimental accuracy but have different influence weights. This work has important guiding significance for studying high-pressure physics and dynamic behaviors of materials by using magnetically-driven quasi-isentropic compression experimental technology.
- magnetically-driven quasi-isentropic compression,
- uncertainty,
- Monte Carlo method,
- quantitative evaluation

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References(27)

References

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