Study on the stress wave control method of the Hopkinson bar used in the impact fatigue experiment

LI Boli; YUAN Kangbo; ZHAO Sihan; JIANG Hailong; GUO Yupei; GUO Weiguo

doi:10.11883/bzycj-2025-0225

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LI Boli, YUAN Kangbo, ZHAO Sihan, JIANG Hailong, GUO Yupei, GUO Weiguo. Study on the stress wave control method of the Hopkinson bar used in the impact fatigue experiment[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2025-0225

Citation:

LI Boli, YUAN Kangbo, ZHAO Sihan, JIANG Hailong, GUO Yupei, GUO Weiguo. Study on the stress wave control method of the Hopkinson bar used in the impact fatigue experiment[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2025-0225

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Study on the stress wave control method of the Hopkinson bar used in the impact fatigue experiment

doi: 10.11883/bzycj-2025-0225

LI Boli^{1, 2
,},
YUAN Kangbo^{3, 4
,
,},
ZHAO Sihan⁵,
JIANG Hailong^{1, 2},
GUO Yupei^{1, 2},
GUO Weiguo^{1, 2}

1.
School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, China
2.
National Key Laboratory of Strength and Structural Integrity, Xi’an 710072, Shaanxi, China
3.
School of Mechanics and Transportation Engineering, Northwestern Polytechnical University, Xi’an 710129, Shaanxi, China
4.
Shenzhen Research Institute of Northwestern Polytechnical University, Shenzhen 518057, Guangdong, China
5.
Xi’an Modern Control Technology Research Institute, Xi’an 710065, Shaanxi, China

Received Date: 2025-07-21
Rev Recd Date: 2025-12-03

Available Online: 2025-12-05

Abstract

Abstract

In both national defense and civilian applications, various equipment and structural components are frequently subjected to intermittent, high loading rates, and repetitive severe impact loads, which are referred to as repeated impacts or impact fatigue. To study the impact fatigue behavior of equipment or structures, it is necessary to first establish reliable impact fatigue testing techniques or methodologies. Therefore, the conventional Hopkinson bar impact loading system was modified and enhanced, and the stress wave propagation characteristics in the loading bar, specimen, and associated fixtures under successive impacts were analyzed in detail. The method for controlling the amplitude, width, and waveform configuration of the impact loading pulse applied to the specimen was systematically analyzed. In addition, a theoretical analysis was conducted on the principle of achieving single pulse loading in impact fatigue testing. Effective control of the amplitude, pulse width, and the stress wave pulse configuration of the loading wave is realized by optimizing and modifying the impact velocity, length, and geometric shape of the projectile. Consequently, a simple and efficient single pulse loading method suitable for impact fatigue testing was proposed. The core principle involves designing the length and material parameters of the loading bar such that the end surfaces of the specimen and the bar coordinate and then separate, thereby preventing irregular and random secondary or multiple loadings caused by reflected stress waves. This design ensures that each individual impact in a continuous impact sequence results in a single loading on the specimen. The effectiveness and feasibility of the proposed impact fatigue testing technique have been verified through a combination of numerical simulations and experimental investigations. Additionally, a dedicated loading fixture for shear-type impact fatigue was developed, enabling the acquisition of the shear impact fatigue stress-life curve of TC4 titanium alloy, thus demonstrating the method’s applicability to complex loading modes.
- impact fatigue,
- stress wave,
- single pulse loading,
- Hopkinson bar

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References(21)

References

[1]	熊文强, 张闰, 张晓晴, 等. 舰载无人机拦阻着舰中机身冲击响应分析 [J]. 航空学报, 2019, 40(12): 222892. DOI: 10.7527/S1000-6893.2019.22892. XIONG W Q, ZHANG R, ZHANG X Q, et al. Analysis of impact response of mid-fuselage ground arresting in a carrier-based UAV [J]. Acta Aeronautica et Astronautica Sinica, 2019, 40(12): 222892. DOI: 10.7527/S1000-6893.2019.22892.
[2]	聂宏, 彭一明, 魏小辉, 等. 舰载飞机着舰拦阻动力学研究综述 [J]. 航空学报, 2014, 35(1): 1–12. DOI: 10.7527/S1000-6893.2013.0424. NIE H, PENG Y M, WEI X H, et al. Overview of carrier-based aircraft arrested deck-landing dynamics [J]. Acta Aeronautica et Astronautica Sinica, 2014, 35(1): 1–12. DOI: 10.7527/S1000-6893.2013.0424.
[3]	何玲, 徐诚. 枪械自动机冲击疲劳试验机加载机构设计优化及性能分析 [J]. 兵工学报, 2011, 32(7): 805–811. HE L, XU C. Design optimization and performance analysis of loading mechanism of impact fatigue test machine for firearm automaton [J]. Acta Armamentarii, 2011, 32(7): 805–811.
[4]	TRUONG D D, HUYNH V V, JANG B S, et al. Empirical formulations for prediction of permanent set evolution of steel plates due to repeated impulsive pressure loadings induced by slamming [J]. Ocean Engineering, 2023, 268: 113430. DOI: 10.1016/j.oceaneng.2022.113430.
[5]	WANG B W, QIAN C C, BAI C Y, et al. Study on impact fatigue test and life prediction method of TC18 titanium alloy [J]. International Journal of Fatigue, 2023, 168: 107391. DOI: 10.1016/j.ijfatigue.2022.107391.
[6]	LI X F, HU W P, WANG B, et al. A new combined impact fatigue damage model and its application of influencing factors analysis on impact fatigue of TC18 titanium alloy [J]. International Journal of Fatigue, 2024, 182: 108180. DOI: 10.1016/j.ijfatigue.2024.108180.
[7]	AZOUAOUI K, OUALI N, OUROUA Y, et al. Damage characterisation of glass/polyester composite plates subjected to low-energy impact fatigue [J]. Journal of Sound and Vibration, 2007, 308(3/4/5): 504–513. DOI: 10.1016/j.jsv.2007.04.014.
[8]	DUMITRU I, MARSAVINA L, FAUR N. Experimental study of torsional impact fatigue of shafts [J]. Journal of Sound and Vibration, 2007, 308(3/4/5): 479–488. DOI: 10.1016/j.jsv.2007.04.011.
[9]	ISAKOV M, TERHO S, KUOKKALA V T. Low-cycle impact fatigue testing based on an automatized split Hopkinson bar device [J]. AIP Conference Proceedings, 2020, 2309(1): 020021. DOI: 10.1063/5.0034182.
[10]	PAGANO S J, JEWELL P A, LAMBERSON L E. A tunable modified-Hopkinson impact fatigue device [J]. Review of Scientific Instruments, 2019, 90(10): 105104. DOI: 10.1063/1.5100033.
[11]	YIN J P, ZHANG C X, SUN R H, et al. Controllable kilohertz impact fatigue loading functioned by cyclic stress wave of Hopkinson tension bar and its application for TC4 titanium alloy [J]. International Journal of Fatigue, 2025, 194: 108828. DOI: 10.1016/j.ijfatigue.2025.108828.
[12]	ZHANG C X, SUN R H, YIN J P, et al. Failure behaviours of steel/aluminium threaded connections under impact fatigue [J]. Engineering Failure Analysis, 2025, 174: 109473. DOI: 10.1016/j.engfailanal.2025.109473.
[13]	ZHANG C X, SUN R H, YIN J P, et al. Mechanical behaviour and failure mechanism of 7075 aluminium alloy threaded connections under wide loading rate [J]. Thin-Walled Structures, 2025, 215: 113555. DOI: 10.1016/j.tws.2025.113555.
[14]	李泊立, 赵思晗, 刘圆梦, 等. Hopkinson杆式冲击疲劳试验方法研究 [J]. 振动与冲击, 2023, 42(2): 132–138. DOI: 10.13465/j.cnki.jvs.2023.02.016. LI B L, ZHAO S H, LIU Y M, et al. Method for experiment study on impact fatigue based on Hopkinson bar [J]. Journal of Vibration and Shock, 2023, 42(2): 132–138. DOI: 10.13465/j.cnki.jvs.2023.02.016.
[15]	袁康博, 杨建辉, 李泊立, 等. 基于Hopkinson杆的恒幅冲击疲劳试验方法研究 [J]. 固体力学学报, 2024, 45(1): 1–15. DOI: 10.19636/j.cnki.cjsm42-1250/o3.2023.045. YUAN K B, YANG J H, LI B L, et al. Research on constant-amplitude impact fatigue test method based on Hopkinson bar [J]. Chinese Journal of Solid Mechanics, 2024, 45(1): 1–15. DOI: 10.19636/j.cnki.cjsm42-1250/o3.2023.045.
[16]	YUAN K B, GUO W G, SU Y, et al. Study on several key problems in shock calibration of high-g accelerometers using Hopkinson bar [J]. Sensors and Actuators A: Physical, 2017, 258: 1–13. DOI: 10.1016/j.sna.2017.02.017.
[17]	BARANOWSKI P, MALACHOWSKI J, GIELETA R, et al. Numerical study for determination of pulse shaping design variables in SHPB apparatus [J]. Bulletin of the Polish Academy of Sciences: Technical Sciences, 2013, 61(2): 459–466. DOI: 10.2478/bpasts-2013-0045.
[18]	李夕兵, 古德生, 赖海辉. 冲击载荷下岩石动态应力-应变全图测试中的合理加载波形 [J]. 爆炸与冲击, 1993, 13(2): 125–130. LI X B, GU D S, LAI H H. On the reasonable loading stress waveforms determined by dynamic stress-strain curves of rocks by SHPB [J]. Explosion and Shock Waves, 1993, 13(2): 125–130.
[19]	NEMAT-NASSER S, ISAACS J B. Direct measurement of isothermal flow stress of metals at elevated temperatures and high strain rates with application to Ta and TaW alloys [J]. Acta Materialia, 1997, 45(3): 907–919. DOI: 10.1016/S1359-6454(96)00243-1.
[20]	SONG B, CHEN W. Loading and unloading split hopkinson pressure bar pulse-shaping techniques for dynamic hysteretic loops [J]. Experimental Mechanics, 2004, 44(6): 622–627. DOI: 10.1177/0014485104048911.
[21]	NEMAT-NASSER S, ISAACS J B, STARRETT J E. Hopkinson techniques for dynamic recovery experiments [J]. Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1991, 435(1894): 371–391. DOI: 10.1098/rspa.1991.0150.