单轴双向加载分离式霍普金森压杆的数据处理方法
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摘要
本文中提出单轴双向加载分离式霍普金森压杆(bidirectional-load split Hopkinson compression bar,BSHCB),即在传统的分离式霍普金森压杆(split Hopkinson pressure bar,SHPB)的基础上增加另一个对称的入射波,两边的入射波同时且对称地对试样进行动态加载。根据一维应力波传播理论,推导出单轴双向加载分离式霍普金森杆的数据处理公式。通过数值模拟分析发现,所推导的数据处理公式可以用于计算单轴双向加载实验中试样的工程应力、工程应变和工程应变率。此外,单轴双向对称加载不仅可缩短试样内部应力均匀化的过程,而且可以提高试样应变率。
This paper presents a bidirectional-load split Hopkinson compression bar(BSHCB),namely,adding other symmetrical incident wave on the basis of traditional split Hpkinson pressure bar(SHPB),the two incident waves would load the specimen synchronously and symmetrically.The data process equations are approached according to the one-dimensional stress wave theory.According to the numerical simulation analyses,it is concluded that the proposed data process equations can determine the engineering stress,engineering strain and engineering strain rate of the tested material in bidirectional-load split Hopkinson compression test.Moreover,compared with the traditional SHPB test,the specimens in bidirectional-load split Hopkinson compression test can reach constant stress state in shorter time,and the strain rate can be improved.
This paper presents a bidirectional-load split Hopkinson compression bar(BSHCB),namely,adding other symmetrical incident wave on the basis of traditional split Hpkinson pressure bar(SHPB),the two incident waves would load the specimen synchronously and symmetrically.The data process equations are approached according to the one-dimensional stress wave theory.According to the numerical simulation analyses,it is concluded that the proposed data process equations can determine the engineering stress,engineering strain and engineering strain rate of the tested material in bidirectional-load split Hopkinson compression test.Moreover,compared with the traditional SHPB test,the specimens in bidirectional-load split Hopkinson compression test can reach constant stress state in shorter time,and the strain rate can be improved.
引文
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[3]NIE X,PRABHU R,CHEN WW,et al.A Kolsky torsion bar technique for characterization of dynamic shear response of soft materials[J].Experimental Mechanics,2011,51(9):1527-1534.DOI:10.1007/s11340-011-9481-4.
[4]LIM J,CHEN W W,ZHENG J Q.Dynamic small strain measurements of Kevlar 129single fibers with a miniaturized tension Kolsky bar[J].Polymer Testing,2010,29(6):701-705.DOI:10.1016/j.polymertesting.2010.05.012.
[5]KOLSKY H.An investigation of the mechanical properties of materials at very high rates of loading[J].Proceeding of the Physical Society,1949,62(11):676-700.DOI:10.1088/0370-1301/62/11/302.
[6]SONG B,GE Y,CHEN W W,et al.Radial inertia effects in Kolsky bar testing of extra-soft specimens[J].Experimental Mechanics,2007,47(5):659-670.DOI:10.1016/j.polymertesting.2010.05.012.
[7]PARRY D J,DIXON P R,HODSON S,et al.Stress equilibrium effects within Hopkinson bar specimens[J].Journal De Physique IV,1994,4(C8):107-112.DOI:10.1051/jp4:1994816.
[8]WANG L L,LABIBES K,AZARI Z,et al.Generalization of split Hopkinson bar technique to use viscoelastic bars[J].International Journal of Impact Engineering,1994,15(5):669-686.DOI:10.1016/0734-743X(94)90166-I.
[9]HOU B,ONO A,ABDENNADHER S,et al.IMPact behavior of honeycombs under combined shear-compression.Part I:Experiments[J].International Journal of Solids and Structures,2011,48(5):687-697.DOI:10.1016/j.ijsolstr.2010.11.005.
[10]崔云霄,卢芳云,林玉亮,等.一种新的高应变率复合压剪实验技术[J].实验力学,2006,21(5):584-590.DOI:10.3969/j.issn.1001-4888.2006.05.007.CUI Yunxiao,LU Fangyun,LIN Yuliang,et al.A new combined compression-shear loading technique at high strain rates[J].Journal of Experimental Mechanics,2006,21(5):584-590.DOI:10.3969/j.issn.1001-4888.2006.05.007.
[11]JOHNSON G R,COOK W H.Fracture characteristics of three metals subjected to various strains,strain rates,temperatures and pressures[J].Engineering Fracture Mechanics,1985,21(1):31-48.DOI:10.1016/0013-7944(85)90052-9.
[12]李玉龙,聂海亮,汤忠斌,等.基于电磁力加载的分离式霍普金森压杆实验装置:CN201410161610.X[P].2014-07-09.
[13]李玉龙,聂海亮,汤忠斌,等.一种基于电磁力的拉伸及压缩应力波发生器及实验方法:201410171963.8[P].2014-08-20.
[14]李玉龙,聂海亮,汤忠斌,等.电磁式应力波发生器的主线圈及充电/放电的方法:201510051071.9[P].2015-06-03.
[2]GARY G,MOHR D.Modified Kolsky formulas for an increased measurement duration of SHPB systems[J].Experimental Mechanics,2013,53(4):713-717.DOI:10.1007/s11340-012-9664-7.
[3]NIE X,PRABHU R,CHEN WW,et al.A Kolsky torsion bar technique for characterization of dynamic shear response of soft materials[J].Experimental Mechanics,2011,51(9):1527-1534.DOI:10.1007/s11340-011-9481-4.
[4]LIM J,CHEN W W,ZHENG J Q.Dynamic small strain measurements of Kevlar 129single fibers with a miniaturized tension Kolsky bar[J].Polymer Testing,2010,29(6):701-705.DOI:10.1016/j.polymertesting.2010.05.012.
[5]KOLSKY H.An investigation of the mechanical properties of materials at very high rates of loading[J].Proceeding of the Physical Society,1949,62(11):676-700.DOI:10.1088/0370-1301/62/11/302.
[6]SONG B,GE Y,CHEN W W,et al.Radial inertia effects in Kolsky bar testing of extra-soft specimens[J].Experimental Mechanics,2007,47(5):659-670.DOI:10.1016/j.polymertesting.2010.05.012.
[7]PARRY D J,DIXON P R,HODSON S,et al.Stress equilibrium effects within Hopkinson bar specimens[J].Journal De Physique IV,1994,4(C8):107-112.DOI:10.1051/jp4:1994816.
[8]WANG L L,LABIBES K,AZARI Z,et al.Generalization of split Hopkinson bar technique to use viscoelastic bars[J].International Journal of Impact Engineering,1994,15(5):669-686.DOI:10.1016/0734-743X(94)90166-I.
[9]HOU B,ONO A,ABDENNADHER S,et al.IMPact behavior of honeycombs under combined shear-compression.Part I:Experiments[J].International Journal of Solids and Structures,2011,48(5):687-697.DOI:10.1016/j.ijsolstr.2010.11.005.
[10]崔云霄,卢芳云,林玉亮,等.一种新的高应变率复合压剪实验技术[J].实验力学,2006,21(5):584-590.DOI:10.3969/j.issn.1001-4888.2006.05.007.CUI Yunxiao,LU Fangyun,LIN Yuliang,et al.A new combined compression-shear loading technique at high strain rates[J].Journal of Experimental Mechanics,2006,21(5):584-590.DOI:10.3969/j.issn.1001-4888.2006.05.007.
[11]JOHNSON G R,COOK W H.Fracture characteristics of three metals subjected to various strains,strain rates,temperatures and pressures[J].Engineering Fracture Mechanics,1985,21(1):31-48.DOI:10.1016/0013-7944(85)90052-9.
[12]李玉龙,聂海亮,汤忠斌,等.基于电磁力加载的分离式霍普金森压杆实验装置:CN201410161610.X[P].2014-07-09.
[13]李玉龙,聂海亮,汤忠斌,等.一种基于电磁力的拉伸及压缩应力波发生器及实验方法:201410171963.8[P].2014-08-20.
[14]李玉龙,聂海亮,汤忠斌,等.电磁式应力波发生器的主线圈及充电/放电的方法:201510051071.9[P].2015-06-03.