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

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Explosion And Shock Waves > 2023 > 43(3): 031101

ZHANG Qingming. Introduction to special issue on hypervelocity impact[J]. Explosion And Shock Waves, 2021, 41(2): 021400.

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

ZHANG Qingming. Introduction to special issue on hypervelocity impact[J]. Explosion And Shock Waves, 2021, 41(2): 021400.

Citation:

PDF( 4167 KB)

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

FullText(HTML)

References(27)

References

[1]	SINARS D B, SWEENEY M A, ALEXANDER C S, et al. Review of pulsed power-driven high energy density physics research on Z at Sandia [J]. Physics of Plasmas, 27(7):, 2020, 27(7): 070501. DOI: 10.1063/5.0007476.
[2]	王桂吉, 罗斌强, 陈学秒, 等. 磁驱动平面准等熵加载装置, 实验技术及应用研究新进展 [J]. 爆炸与冲击, 2021, 41(12): 62–83. DOI: 10.11883/bzycj-2021-0119. WANG G J, LUO B Q, CHEN X M, et al. Recent progress on the experimental facilities, techniques and applications of magnetically driven quasi-isentropic compression [J]. Explosion and Shock Waves, 2021, 41(12): 62–83. DOI: 10.11883/bzycj-2021-0119.
[3]	孙承纬, 赵剑衡, 王桂吉, 等. 磁驱动准等熵平面压缩和超高速飞片发射实验技术原理、装置及应用 [J]. 力学进展, 2012, 42(2): 206–219. DOI: 10.6052/1000-0992-2012-2-20120208. SUN C W, ZHAO J H, WANG G J, et al. Progress in magnetic loading techniques for isentropic compression experiments and ultra-high velocity flyer launching [J]. Advances in Mechanics, 2012, 42(2): 206–219. DOI: 10.6052/1000-0992-2012-2-20120208.
[4]	DAVIS J P, KNUDSON M D , SHULENBURGER L, et al. Mechanical and optical response of [100] lithium fluoride to multi-megabar dynamic pressures [J]. Journal of Applied Physics, 2016, 120(16): 165901. DOI: 10.1063/1.4965869.
[5]	DAVIS J P, BROWN J L, KNUDSON M D, et al. Analysis of shockless dynamic compression data on solids to multi-megabar pressures: application to tantalum [J]. Journal of Applied Physics, 2014, 116(20): 2734–2224. DOI: 10.1063/1.4902863.
[6]	DAVIS J P. Experimental measurement of the principal isentrope for aluminum 6061-T6 to 240 GPa [J]. Journal of Applied Physics, 2006, 99(10): 782. DOI: 10.1063/1.2196110.
[7]	HALL C A, ASAY J R, KNUDSON M D, et al. Experimental configuration for isentropic compression of solids using pulsed magnetic loading [J]. Review of Scientific Instruments, 2001, 72(9): 3587–3595. DOI: 10.1063/1.1394178.
[8]	SEAGLE C T, DAVIS J P, MD KNUDSON. Mechanical response of lithium fluoride under off-principal dynamic shock-ramp loading [J]. Journal of Applied Physics, 2016, 120(16): 033515–984. DOI: 10.1063/1.4965990.
[9]	罗斌强, 张红平, 种涛, 等. 磁驱动斜波压缩实验结果的不确定度分析 [J]. 高压物理学报, 2017, 31(3): 295–300. DOI: 10.11858/gywlxb.2017.03.011. LUO B Q, ZHANG H P, CHONG T, et al. Experimental uncertainty analysis of magnetically driven ramp wave compression [J]. Chinese Journal of High Pressure Physics, 2017, 31(3): 295–300. DOI: 10.11858/gywlxb.2017.03.011.
[10]	张红平, 罗斌强, 王桂吉, 等. 基于特征线反演的斜波加载实验数据处理与分析 [J]. 高压物理学报, 2016, 30(2): 7. DOI: 10.11858/gywlxb.2016.02.006. ZHANG H P, LUO B Q, WANG G J, et al. Inverse characteristic analysis of ramp loading experiments [J]. Chinese Journal of High Pressure Physics, 2016, 30(2): 7. DOI: 10.11858/gywlxb.2016.02.006.
[11]	BROWN J L, ALEXANDER C S, ASAY J R, et al. Extracting strength from high pressure ramp-release experiments [J]. Journal of Applied Physics, 2013, 114(22): 223518–223516. DOI: 10.1063/1.4847535.
[12]	WANG G J, LUO B Q, ZHANG X P, et al. A 4 MA, 500 ns pulsed power generator CQ-4 for characterization of material behaviors under ramp wave loading [J]. The Review of Scientific Instruments, 2013, 84(1): 015117. DOI: 10.1063/1.4788935.
[13]	经福谦. 动高压原理与技术 [M]. 2版. 北京: 科学出版社, 1999: 222–223.
[14]	SONG H, WU X, HUANG C, et al. Measurement of fast-changing low velocities by photonic Doppler velocimetry [J]. The Review of Scientific Instruments, 2012, 83(7): 073301. DOI: 10.1063/1.4731014.
[15]	马云, 胡绍楼, 汪小松, 等. 样品-窗口界面运动速度的VISAR测试技术 [J]. 高压物理学报, 2003, 17(4): 290–294. DOI: 10.3969/j.issn.1000-5773.2003.04.008. MA Y, HU S L, WANG X S, et al. VISAR measurement on interface velocity between shocked specimen and window [J]. Chinese Journal of High Pressure Physics, 2003, 17(4): 290–294. DOI: 10.3969/j.issn.1000-5773.2003.04.008.
[16]	罗斌强, 张红平, 赵剑衡, 等. 斜波压缩实验数据的正向Lagrange处理方法研究 [J]. 爆炸与冲击, 2017, 37(2): 243–248. DOI: 10.11883/1001-1455(2017)02-0243-06. LUO B Q, ZHANG H P, ZHAO J H, et al. Lagrangian forward analysis in data processing of ramp wave compression experiments [J]. Explosion And Shock Waves, 2017, 37(2): 243–248. DOI: 10.11883/1001-1455(2017)02-0243-06.
[17]	LUO B Q, JIN Y S, LI M, et al. Direct calculation of sound speed of materials under ramp wave compression [J]. AIP Advances, 2018, 8(11). DOI: 10.1063/1.5047479.
[18]	张红平, 孙承纬, 李牧, 等. 准等熵实验数据处理的反积分方法研究 [J]. 力学学报, 2011, 43(1): 105–111. DOI: 10.6052/0459-1879-2011-1-lxxb2010-053. ZHANG H P, SUN C W, LI M, et al. Backward integration method in data processing of quasi-isentropic compression experiment [J]. Chinese Journal of Theoretical Applied Mechanics, 2011, 43(1): 105–111. DOI: 10.6052/0459-1879-2011-1-lxxb2010-053.
[19]	HAYES D B. Backward integration of the equations of motion to correct for free surface perturbations: AC04-94AL85000 [R]. Office of Scientific & Technical Information Technical Reports, 2001. DOI: 10.2172/783087.
[20]	许淑艳. 蒙特卡罗方法在实验核物理中的应用 [M]. 2版. 北京: 原子能出版社, 2006: 3.
[21]	国家质量监督检验检疫总局. 用蒙特卡洛法评定测量不确定度: JJF 1059.2—2012 [S]. 北京: 中国质检出版社, 2013.
[22]	国家市场监督管理总局, 中国国家标准化管理委员会. 测量不确定度评定和表示补充文件1: 基于蒙特卡洛方法的分布传播: GB/T 27419—2018 [S]. 北京: 中国标准出版社, 2018.
[23]	DENG J X, DENG Y, CHEONG K H. Combining conflicting evidence based on Pearson correlation coefficient and weighted graph [J]. International Journal of Intelligent Systems, 2021, 36(12): 7443–7460. DOI: 10.1002/int.22593.
[24]	BROWN J L, ALEXANDER C S, ASAY J R, et al. Flow strength of tantalum under ramp compression to 250GPa [J]. Journal of Applied Physics, 2014, 115(4): 10340–1177. DOI: 10.1063/1.4863463.
[25]	VALE C D, MAURELLI V A. Simulating multivariate nonnormal distributions [J]. Psychometrika, 1983, 48(3): 465–471. DOI: 10.1007/BF02293687.
[26]	KRAUS R G, DAVIS J P, SEAGLE C T, et al. Dynamic compression of copper to over 450 GPa: a high-pressure standard [J]. Physical Review B, 2016, 93(13): 134105. DOI: 10.1103/physrevb.93.134105.
[27]	ZHANG X P, WANG G J, LUO B Q, et al. Mechanical response of near-equiatomic NiTi alloy at dynamic high pressure and strain rate [J]. Journal of Alloys, 2017, 731: 569–576. DOI: 10.1016/j.jallcom.2017.10.080.

Relative Articles

[1]	LYU Jinxian, WU Hao, LU Yonggang, CHEN De. High-efficiency assessment method of damage for building structures under explosions[J]. Explosion And Shock Waves, 2025, 45(1): 015101. doi: 10.11883/bzycj-2024-0053
[2]	DAI Quan, LI Xiangdong, ZHOU Lanwei, JI Yangziyi. An assessment method for ammunition damage effectiveness based on multiple rectangular cookie cutter function[J]. Explosion And Shock Waves, 2024, 44(3): 031404. doi: 10.11883/bzycj-2023-0316
[3]	LIANG Xiao, WANG Ruili, HU Xingzhi, CHEN Jiangtao. Uncertainty analysis of C-J detonation parameters based on polynomial chaos theory[J]. Explosion And Shock Waves, 2023, 43(10): 104202. doi: 10.11883/bzycj-2023-0030
[4]	LU Yu, GU Zhuowei, ZHOU Zhongyu, SUN Chengwei. Analysis and experimental verification of quasi-isentropic loading process in explosive-driven magnetic flux compression[J]. Explosion And Shock Waves, 2022, 42(7): 074101. doi: 10.11883/bzycj-2021-0453
[5]	ZENG Fan, XIAO Guizhong, FENG Xiaowei, HUANG Chao, TIAN Rong. A damage assessment method for masonry structures subjected to long duration blast loading[J]. Explosion And Shock Waves, 2021, 41(10): 105101. doi: 10.11883/bzycj-2020-0399
[6]	WANG Guiji, LUO Binqiang, CHEN Xuemiao, ZHANG Xuping, CHONG Tao, CAI Jintao, TAN Fuli, SUN Chengwei. Recent progress on the experimental facilities, techniques and applications of magnetically driven quasi-isentropic compression[J]. Explosion And Shock Waves, 2021, 41(12): 121403. doi: 10.11883/bzycj-2021-0119
[7]	CHEN Zibo, XIE Puchu, LIU Dongsheng, CHEN Wei, WANG Yonggang. Quasi-isentropic compression technique based on generalized wave impedance gradient flyer[J]. Explosion And Shock Waves, 2019, 39(4): 041406. doi: 10.11883/bzycj-2018-0407
[8]	LIANG Xiao, WANG Ruili. Uncertainty quantification of cylindrical test through Wiener chaos with basis adaptation and projection[J]. Explosion And Shock Waves, 2019, 39(4): 041408. doi: 10.11883/bzycj-2018-0253
[9]	Li Yueqiang, Yi Na, Xi Feng. Assessment on single degree of freedom modelin steel column analysis of anti-detonation[J]. Explosion And Shock Waves, 2017, 37(5): 957-963. doi: 10.11883/1001-1455(2017)05-0957-07
[10]	Liang Xiao, Wang Ruili. Mixed uncertainty quantification and its application in upwind scheme for computational fluid dynamics (CFD)[J]. Explosion And Shock Waves, 2016, 36(4): 509-515.
[11]	Liang Xiao, Wang Ruili. Mixed uncertainty quantification and its application in upwind scheme for computational fluid dynamics (CFD)[J]. Explosion And Shock Waves, 2016, 36(4): 509-515. doi: 10.11883/1001-1455(2016)04-0509-07
[12]	Zhang Xu-ping, Zhao Jian-heng, Tan Fu-li, Wang Gui-ji, Luo Bin-qiang, Mo Jian-jun, Zhong Tao, Sun Cheng-wei, Liu Cang-li. A method for magnetically driven flyer simulation coupled with electrical circuit of generator[J]. Explosion And Shock Waves, 2014, 34(3): 257-263. doi: 10.11883/1001-1455(2014)03-0257-07
[13]	WangGang-hua, ZhongMin, ZhaoJian-heng, ZhangHong-ping, FanRui-feng. Quasi-isentropiccompressiontechniquesdrivenbydetonationproducts withacavityanddataprocessing[J]. Explosion And Shock Waves, 2013, 33(6): 620-624. doi: 10.11883/1001-1455(2013)06-0620-05
[14]	LiuQuan, WangRui-li, LinZhong, WenWan-zh. UncertaintyquantificationforJWLEOSparameters inexplosivenumericalsimulation[J]. Explosion And Shock Waves, 2013, 33(6): 647-654. doi: 10.11883/1001-1455(2013)06-0647-08
[15]	ZHANG Hong-ping, LI Mu, ZHAO Jian-heng, SUN Cheng-wei, ZHU Wen-jun. Numericalanalysisofquasi-isentropiccompressionofRDX(210)crystal[J]. Explosion And Shock Waves, 2011, 31(3): 274-278. doi: 10.11883/1001-1455(2011)03-0274-05
[16]	LIU Zhen-yi, HUANG Ping, XU Ya-bo. Monte-Carlo analysis of the projectile fragments from cylindrical tank boiling liquid expanding vapor explosion accident[J]. Explosion And Shock Waves, 2010, 30(6): 569-576. doi: 10.11883/1001-1455(2010)06-0569-08
[17]	WANG Gang-hua, SUN Cheng-wei, WANG Gui-ji, ZHAO Jian-heng, TAN Fu-li, HU Xi-jing. Backward analysis for isentropic compression experiments with windows backed on samples[J]. Explosion And Shock Waves, 2009, 29(1): 101-104. doi: 10.11883/1001-1455(2009)01-0101-04
[18]	WEN Yu-quan, HONG Dong-pao, WANG Wei. Study on theory and method of reliability assessment of explosive initiator based on testing entropy[J]. Explosion And Shock Waves, 2007, 27(6): 553-556. doi: 10.11883/1001-1455(2007)06-0553-04
[19]	ZHAO Jian-heng, SUN Cheng-wei, TAN Fu-li, PENG Qi-xian, WANG Gui-ji. Launch technique for isentropic compression flyer plates magnetically driven by using fast pulsed power[J]. Explosion And Shock Waves, 2005, 25(4): 303-308. doi: 10.11883/1001-1455(2005)04-0303-06

Supplements(0)

Cited By

Cited by

Periodical cited type(1)

Jinlei Dong，Xuping Zhang，Guiji Wang，Xianqian Wu，Binqiang Luo，Xuemiao Chen，Fuli Tan，Jianheng Zhao，Chengwei Sun. Mechanical responses and crystal plasticity model of CoCrNi medium-entropy alloy under ramp wave compression. Matter and Radiation at Extremes. 2024(05): 99-114 .