1. 安徽理工大学 化学工程学院, 安徽 淮南 232001
2. 北京理工大学 机电学院, 北京 100081
3. 重庆红宇精密工业集团有限公司, 重庆 402760
*邮箱: zhangxr@bit.edu.cn
收稿:2022-06-10,
网络出版:2023-08-07,
纸质出版:2023-07-30
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苗飞超, 张向荣, 李东伟, 等. 霍普金森压杆整形器模型[J]. 兵工学报, 2023,44(7):1978-1984.
Feichao MIAO, Xiangrong ZHANG, Dongwei LI, et al. A Pulse Shaper Model for Hopkinson Pressure Bars[J]. Acta Armamentarii, 2023, 44(7): 1978-1984.
苗飞超, 张向荣, 李东伟, 等. 霍普金森压杆整形器模型[J]. 兵工学报, 2023,44(7):1978-1984. DOI: 10.12382/bgxb.2022.0517.
Feichao MIAO, Xiangrong ZHANG, Dongwei LI, et al. A Pulse Shaper Model for Hopkinson Pressure Bars[J]. Acta Armamentarii, 2023, 44(7): 1978-1984. DOI: 10.12382/bgxb.2022.0517.
添加整形器是调整霍普金森杆入射波波形
进而准确测量炸药动态力学性能的重要手段。为预测添加整形器后完整的入射波波形
采用应力波理论对子弹-整形器-入射杆系统中的一维应力波传播过程进行研究。利用波的叠加原理得到整形器加载-卸载的统一控制方程
据此建立整形器模型;通过对整形器材料-T2纯铜进行霍普金森压杆和整形器试验
得到T2纯铜的一维应力-应变关系;采用整形器模型预测单整形器和双整形器试验的入射波波形
分析不同工况条件下整形器的变形特性。分析结果表明:整形器模型具备预测包含卸载段在内的完整入射波波形的能力
模型预测的入射波波形与试验测量波形整体吻合较好
验证了整形器模型的可行性和整形器应力-应变关系参数标定的准确性。
Adding a pulse shaper for Hopkinson bars is an important method to adjust the profile of incident pulses and accurately measure the dynamic mechanical properties of explosives. To predict the complete profile of incident pulses after incorporating the pulse shaper
the wave propagation process in the striker-pulse shaper-incident bar system is analyzed based on the stress wave theory. A unified governing equation predicting the loading-unloading process of pulse shapers is obtained using the superposition principle of waves. Consequently
a general pulse shaper model is developed. The one-dimensional stress-strain relationship of T2 pure copper is obtained by using Hopkinson pressure bar and pulse shaper experiments. The model predicts the profile of incident pulses of single pulse shaper and dual pulse shaper experiments
and analyzes the deformation characteristics of the pulse shaper under various conditions. The results show that the pulse shaper model is able to predict the complete profile of incident pulses
including the unloading range. The profile of incident pulses predicted by the model is in good agreement with the experimental results
indicating the validity of the model and the high accuracy of the calibrated parameters.
李东伟 , 苗飞超 , 张向荣 , 等 . 2,4-二硝基苯甲醚基不敏感熔注炸药动态力学性能 [J ] . 兵工学报 , 2021 , 42 ( 11 ): 2344 - 2349 . DOI: 10.3969/j.issn.1000-1093.2021.11.007 http://doi.org/10.3969/j.issn.1000-1093.2021.11.007 炸药动态力学性能是影响其安定性的重要因素。为揭示2,4-二硝基苯甲醚(DNAN)基不敏感熔注炸药的动态力学性能特征,采用分离式霍普金森压杆(SHPB)实验对DNAN基不敏感抗过载熔注炸药的动态力学性能进行研究。通过入射波整形技术,实现了低阻抗、低强度的熔注炸药材料在SHPB实验中的应力平衡和恒应变率加载,得到65 s<sup>-1</sup>、130 s<sup>-1</sup>和200 s<sup>-1</sup>等3种应变率下炸药的应力应变曲线;基于炸药应力应变数据,利用改进的Lesuer标定方法,获得该炸药的Johnson- Cook本构模型参数。结果表明:随着应变率的提高,该炸药失效应力逐渐增加,具有明显的应变率效应;拟合得到的Johnson-Cook动态本构模型能较好地预测该炸药在冲击载荷作用下的力学响应。
LI D W , MIAO F C , ZHANG X R , et al . Dynamic mechanical properties of an insensitive DNAN-based melt-cast explosive [J ] . Acta Armamentarii , 2021 , 42 ( 11 ): 2344 - 2349 . (in Chinese) DOI: 10.3969/j.issn.1000-1093.2021.11.007 http://doi.org/10.3969/j.issn.1000-1093.2021.11.007 The dynamic mechanical properties of explosives are important to their stability. In order to reveal the dynamic mechanical properties of insensitive 2, 4-dinitroanisole (DNAN)-based melt-cast explosives,the dynamic behavior of an insensitive DNAN-based melt-cast explosive for penetrating warhead was investigated by split Hopkinson pressure bar experiment. The stress equilibrium and constant strain rate of the explosive materials with low impedance and low strength were achieved by using the pulse shaper technique in the SHPB test,and the stress-strain curves of the explosives at the strain rates of 65 s<sup>-1</sup>,130 s<sup>-1</sup> and 200 s<sup>-1</sup> were obtained. Based on the experimental data obtained,the Johnson-Cook constitutive model parameters for the explosive was proposed by an improved Lesuer’s approach. The parameters of Johnson-Cook constitutive model are A=1.70 MPa,B=11.37 MPa,C=0.93,and n=0.49. The results show that the failure stress of the explosive increases with the increase in strain rate,and the explosive has significant strain rate effect. The Johnson-Cook constitutive model can be used to predict the mechanical responses of the explosive under impact load.
PARRY D J , WALKER A G , DIXON P R . Hopkinson bar pulse smoothing [J ] . Measurement Science and Technology , 1995 , 6 ( 5 ): 443 . DOI: 10.1088/0957-0233/6/5/001 http://doi.org/10.1088/0957-0233/6/5/001 https://iopscience.iop.org/article/10.1088/0957-0233/6/5/001 https://iopscience.iop.org/article/10.1088/0957-0233/6/5/001
PANOWICZ R , JANISZEWSKI J , KOCHANOWSKI K . Numerical and experimental studies of a conical striker application for the achievement of a true and nominal constant strain rate in SHPB tests [J ] . Experimental Mechanics , 2018 , 58 ( 8 ): 1325 - 1330 . DOI: 10.1007/s11340-018-0404-5 http://doi.org/10.1007/s11340-018-0404-5
PANOWICZ R , JANISZEWSKI J , KOCHANOWSKI K . The influence of non-axisymmetric pulse shaper position on SHPB experimental data [J ] . Journal of Theoretical and Applied Mechanics , 2018 , 56 ( 3 ): 873 - 886 .
NAGHDABADI R , ASHRAFI M J , ARGHAVANI J . Experimental and numerical investigation of pulse-shaped split Hopkinson pressure bar test [J ] . Materials Science and Engineering: A , 2012 , 539 : 285 - 293 . DOI: 10.1016/j.msea.2012.01.095 http://doi.org/10.1016/j.msea.2012.01.095 https://linkinghub.elsevier.com/retrieve/pii/S0921509312001311 https://linkinghub.elsevier.com/retrieve/pii/S0921509312001311
BARANOWSKI P , JANISZEWSKI J , MAŁACHOWSKI J . Tire rubber testing procedure over a wide range of strain rates [J ] . Journal of Theoretical and Applied Mechanics , 2017 , 55 ( 2 ): 727 - 739 .
LI W M , XU J Y . Impact characterization of basalt fiber reinforced geopolymeric concrete using a 100-mm-diameter split Hopkinson pressure bar [J ] . Materials Science and Engineering: A , 2009 , 513 : 145 - 153 .
GERLACH R , KETTENBEIL C , PETRINIC N . A new split Hopkinson tensile bar design [J ] . International Journal of Impact Engineering , 2012 , 50 : 63 - 67 . DOI: 10.1016/j.ijimpeng.2012.08.004 http://doi.org/10.1016/j.ijimpeng.2012.08.004 https://linkinghub.elsevier.com/retrieve/pii/S0734743X1200156X https://linkinghub.elsevier.com/retrieve/pii/S0734743X1200156X
SONG B , CHEN W N . Loading and unloading split Hopkinson pressure bar pulse-shaping techniques for dynamic hysteretic loops [J ] . Experimental Mechanics , 2004 , 44 ( 6 ): 622 - 627 . DOI: 10.1007/BF02428252 http://doi.org/10.1007/BF02428252 http://link.springer.com/10.1007/BF02428252 http://link.springer.com/10.1007/BF02428252
SONG B , CHEN W N . One-dimensional dynamic compressive behavior of EPDM rubber [J ] . Journal of Engineering Materials and Technology , 2003 , 125 ( 3 ): 294 - 301 . DOI: 10.1115/1.1584492 http://doi.org/10.1115/1.1584492 https://asmedigitalcollection.asme.org/materialstechnology/article/125/3/294/445466/OneDimensional-Dynamic-Compressive-Behavior-of https://asmedigitalcollection.asme.org/materialstechnology/article/125/3/294/445466/OneDimensional-Dynamic-Compressive-Behavior-of Dynamic compressive stress-strain curves at various strain rates of an Ethylene-Propylene-Diene Monomer Copolymer (EPDM) rubber have been determined with a modified split Hopkinson pressure bar (SHPB). The use of a pulse-shaping technique ensures that the specimen deforms at a nearly constant strain rate under dynamically equilibrated stress. The validity of the experiments was monitored by a high-speed digital camera for specimen edge deformation, and by piezoelectric force transducers for dynamic stress equilibrium. The resulting dynamic stress-strain curves for the EPDM indicate that the material is sensitive to strain rates and that the strain-rate sensitivity depends on the value of strain. Based on a strain energy function theory, a one-dimensional dynamic constitutive equation for this rubber was modified to describe the high strain-rate experimental results within the ranges of strain and strain rates presented in this paper.
SONG B , CHEN W N , ANTOUN B R , et al . Determination of early flow stress for ductile specimens at high strain rates by using a SHPB [J ] . Experimental Mechanics , 2007 , 47 ( 5 ): 671 - 679 . DOI: 10.1007/s11340-007-9048-6 http://doi.org/10.1007/s11340-007-9048-6 http://link.springer.com/10.1007/s11340-007-9048-6 http://link.springer.com/10.1007/s11340-007-9048-6
BARANOWSKI P , JANISZEWSKI J , MALACHOWSKI J . Study on computational methods applied to modelling of pulse shaper in split-Hopkinson bar [J ] . Archives of Mechanics , 2014 , 66 ( 6 ): 429 - 452 .
SHEMIRANI A B , NAGHDABADI R , ASHRAFI M J . Experimental and numerical study on choosing proper pulse shapers for testing concrete specimens by split Hopkinson pressure bar apparatus [J ] . Construction and Building Materials , 2016 , 125 : 326 - 336 . DOI: 10.1016/j.conbuildmat.2016.08.045 http://doi.org/10.1016/j.conbuildmat.2016.08.045 https://linkinghub.elsevier.com/retrieve/pii/S0950061816313083 https://linkinghub.elsevier.com/retrieve/pii/S0950061816313083
XU M , WILLE K . Numerical investigation of the effects of pulse shaper, lateral inertia, and friction on the calculated strain-rate sensitivity of UHP-FRC using a split Hopkinson pressure bar [J ] . Journal of Materials in Civil Engineering , 2016 , 28 ( 11 ): 04016 114.
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 http://doi.org/10.1098/rspa.1991.0150 https://royalsocietypublishing.org/doi/10.1098/rspa.1991.0150 https://royalsocietypublishing.org/doi/10.1098/rspa.1991.0150 \n Novel techniques are introduced to render the classical split Hopkinson bar apparatus suitable for dynamic\n recovery\n experiments, where samples can be subjected to a single pulse of pre-assigned shape and duration, and then recovered without any additional loading, for post-test characterization; i. e., techniques for fully controlled unloading in Hopkinson bar experiments. For compression dynamic recovery tests, the new design generates a compressive pulse trailed by a tensile pulse (stress reversal), travelling toward the sample. Furthermore, all subsequent pulses which reflect off the free ends of the two bars (incident and transmission) are rendered tensile, so that the sample is subjected to a single compressive pulse whose shape and duration can also be controlled. For tension recovery experiments, the new design provides for trapping the compression pulse reflected off the sample, and the tensile pulse transmitted through the sample. In addition, a sample can be subjected to compression followed by tension, and then recovered, allowing the study of, e. g. the dynamic Bauschinger effect in materials.\n
FREW D J , FORRESTAL M J , CHEN W . Pulse shaping techniques for testing brittle materials with a split Hopkinson pressure bar [J ] . Experimental Mechanics , 2002 , 42 ( 1 ): 93 - 106 . DOI: 10.1007/BF02411056 http://doi.org/10.1007/BF02411056 http://link.springer.com/10.1007/BF02411056 http://link.springer.com/10.1007/BF02411056
FREW D J , FORRESTAL M J , CHEN W . Pulse shaping techniques for testing elastic-plastic materials with a split Hopkinson pressure bar [J ] . Experimental Mechanics , 2005 , 45 ( 2 ): 186 - 195 . DOI: 10.1007/BF02428192 http://doi.org/10.1007/BF02428192 http://link.springer.com/10.1007/BF02428192 http://link.springer.com/10.1007/BF02428192
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CHEN W N , SONG B . Split Hopkinson (Kolsky) bar: design, testing and applications [M ] . New York,NY,US:Springer , 2011 .
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