ICE自由面台阶靶数据处理的直接计算方法
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摘要
斜波压缩台阶靶实验中,不同厚度界面粒子速度历史与材料压缩特性参数存在联系。然而利用普遍采用的数据处理方法无法直接获得该联系。本文中借助特征线理论在建立上述关联的基础上,实现未知EOS下斜波压缩流场的直接计算过程。经数值计算表明,该方法不仅在无强度效应数据处理中能够准确计算理论值,而且在含有强度效应数据处理中也能够较好地逼近理论值,并可在真实实验数据处理中获得与文献符合较好的结果。该研究可为探索具有较完整理论的强度效应数据处理方法提供新途径。
In ramp compression experiments, the velocity history of the interface particles with different thicknesses correlates with the parameters of the material compression characteristics. However, there is no direct access to reveal this relationship using conventional data processing methods. In this article, a correlation was established based on the characteristic line theory, and the ramp compression flow field with unknown EOS could be directly calculated. And numerical experiments show that this method can not only accurately calculate the theoretical value in the data processing without strength effect, but also approximate the theoretical value in data processing with strength effect. And, in the real experimental data processing,the results produced by this method are in good agreement with the literatures. This research provides a reliable new way to explore the strength effect data processing method with complete theory.
In ramp compression experiments, the velocity history of the interface particles with different thicknesses correlates with the parameters of the material compression characteristics. However, there is no direct access to reveal this relationship using conventional data processing methods. In this article, a correlation was established based on the characteristic line theory, and the ramp compression flow field with unknown EOS could be directly calculated. And numerical experiments show that this method can not only accurately calculate the theoretical value in the data processing without strength effect, but also approximate the theoretical value in data processing with strength effect. And, in the real experimental data processing,the results produced by this method are in good agreement with the literatures. This research provides a reliable new way to explore the strength effect data processing method with complete theory.
引文
[1]DAVIS J P,DEENEY C,KNUDSON M D,et al.Magnetically driven isentropic compression to multimegabar pressures using shaped current pulses on the Z accelerator[J].Physics of Plasmas,2005,12(5):56310-17.DOI:10.1063/1.1871954.
[2]MCNALLY J H,BARNES J W,DROPESKY B J,et al.Neutron-induced fission cross section of 237U[J].Physical Review C,1974,9(2):717-722.DOI:10.1103/PhysRevC.9.717.
[3]SWIFT D C,KRAUS R G,LOOMIS E,et al.Shock formation and the ideal shape of ramp compression waves[J].Physical Review E,2008,78(6):066115.DOI:10.1103/PhysRevE.78.066115.
[4]LEMKE R W,KNUDSON M D,ROBINSON A C,et al.Self-consistent,two-dimensional,magnetohydrodynamic simulations of magnetically driven flyer plates[J].Physics of Plasmas,2003,10(5):1557530.DOI:10.1063/1.1557530.
[5]DAVIS J P.Experimental measurement of the principal isentrope for aluminum 6061-T6 to 240 GPa[J].Journal of Applied Physics,2006,99(10):103512.DOI:10.1063/1.2196110.
[6]LEMKE R W,KNUDSON M D,DAVIS J P,et al.Magnetically driven hyper-velocity launch capability at the Sandia Zaccelerator[J].International Journal of Impact Engineering,2011,38(6):480-485.DOI:10.1016/j.ijimpeng.2010.10.019.
[7]WANG Guiji,LUO Binqiang,ZHANG Xuping,et al.A 4 MA,500 ns pulsed power generator CQ-4 for characterization of material behaviors under ramp wave loading[J].Review of Scientific Instruments,2013,84(1):015117.DOI:10.1063/1.4788935.
[8]SWIFT D C,JOHNSON R P.Quasi-isentropic compression by ablative laser loading:response of materials to dynamic loading on nanosecond time scales[J].Physical Review E,2005,71:066401.DOI:10.1103/PhysRevE.71.066401.
[9]LORENZ K T,EDWARDS M J,JANKOWSKI A F,et al.High pressure,quasi-isentropic compression experiments on the Omega laser[J].High Energy Density Physics,2006,2(3-4):113-125.DOI:10.1016/j.hedp.2006.08.001.
[10]ASAY J R,AO T,DAVIS J P,et al.Effect of initial properties on the flow strength of aluminum during quasi-isentropic compression[J].Journal of Applied Physics,2008,103(8):083514.DOI:10.1063/1.2902855.
[11]AO T,ASAY J R,CHANTRENNE S,et al.A compact strip-line pulsed power generator for isentropic compression experiments[J].Review of Scientific Instruments,2008,79(1):013903.DOI:10.1063/1.2827509.
[12]VOGLER T J,AO T,ASAY J R.High-pressure strength of aluminum under quasi-isentropic loading[J].International Journal of Plasticity,2009,25(4):671-694.DOI:10.1016/j.ijplas.2008.12.003.
[13]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.DOI:10.1063/1.4847535.
[14]BROWN J L,ALEXANDER C S,ASAY J R,et al.Flow strength of tantalum under ramp compression to 250 GPa[J].Journal of Applied Physics,2014,115(4):043530.DOI:10.1063/1.4863463.
[15]DAVIS J P,BROWN J L,KNUDSON M D,et al.Analysis of shockless dynamic compression data on solids to multimegabar pressure:application to tantalum[J].Journal of Applied Physics,2014,116:204903.DOI:10.1063/1.4902863.
[16]OCKENDON H,OCKENDON J R,PLATT J D.Determining the equation of state of highly plasticised metals from boundary velocimetry:part I[J].Journal Engineering Mathematics,2010,68:269-277.DOI:10.1007/s10665-010-9401-0.
[17]HINCH E J.Determining the equation of state of highly plasticised metals from boundary velocimetry[J].Journal Engineering Mathematics,2010,68:279-289.DOI:10.1007/s10665-010-9379-7.
[18]JIN Yunsheng,SUN Chengwei,ZHAO Jianheng,et al.Optimization of loading pressure waveforms for piston driven isentropic compression[J].Journal of Applied Physics,2014,115(24):243506.DOI:10.1063/1.4885756.
[19]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,2016,93:134105.DOI:10.1103/PhysRevB.93.134105.
[20]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 Hongping,SUN Chengwei,LI Mu,et al.Backward integration method in data processing of quasi-isentropic compression experiment[J].Chinese Journal of Theoretical and Applied Mechanics,2011,43(1):105-111.DOI:10.6052/0459-1879-2011-1-lxxb2010-053.
[2]MCNALLY J H,BARNES J W,DROPESKY B J,et al.Neutron-induced fission cross section of 237U[J].Physical Review C,1974,9(2):717-722.DOI:10.1103/PhysRevC.9.717.
[3]SWIFT D C,KRAUS R G,LOOMIS E,et al.Shock formation and the ideal shape of ramp compression waves[J].Physical Review E,2008,78(6):066115.DOI:10.1103/PhysRevE.78.066115.
[4]LEMKE R W,KNUDSON M D,ROBINSON A C,et al.Self-consistent,two-dimensional,magnetohydrodynamic simulations of magnetically driven flyer plates[J].Physics of Plasmas,2003,10(5):1557530.DOI:10.1063/1.1557530.
[5]DAVIS J P.Experimental measurement of the principal isentrope for aluminum 6061-T6 to 240 GPa[J].Journal of Applied Physics,2006,99(10):103512.DOI:10.1063/1.2196110.
[6]LEMKE R W,KNUDSON M D,DAVIS J P,et al.Magnetically driven hyper-velocity launch capability at the Sandia Zaccelerator[J].International Journal of Impact Engineering,2011,38(6):480-485.DOI:10.1016/j.ijimpeng.2010.10.019.
[7]WANG Guiji,LUO Binqiang,ZHANG Xuping,et al.A 4 MA,500 ns pulsed power generator CQ-4 for characterization of material behaviors under ramp wave loading[J].Review of Scientific Instruments,2013,84(1):015117.DOI:10.1063/1.4788935.
[8]SWIFT D C,JOHNSON R P.Quasi-isentropic compression by ablative laser loading:response of materials to dynamic loading on nanosecond time scales[J].Physical Review E,2005,71:066401.DOI:10.1103/PhysRevE.71.066401.
[9]LORENZ K T,EDWARDS M J,JANKOWSKI A F,et al.High pressure,quasi-isentropic compression experiments on the Omega laser[J].High Energy Density Physics,2006,2(3-4):113-125.DOI:10.1016/j.hedp.2006.08.001.
[10]ASAY J R,AO T,DAVIS J P,et al.Effect of initial properties on the flow strength of aluminum during quasi-isentropic compression[J].Journal of Applied Physics,2008,103(8):083514.DOI:10.1063/1.2902855.
[11]AO T,ASAY J R,CHANTRENNE S,et al.A compact strip-line pulsed power generator for isentropic compression experiments[J].Review of Scientific Instruments,2008,79(1):013903.DOI:10.1063/1.2827509.
[12]VOGLER T J,AO T,ASAY J R.High-pressure strength of aluminum under quasi-isentropic loading[J].International Journal of Plasticity,2009,25(4):671-694.DOI:10.1016/j.ijplas.2008.12.003.
[13]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.DOI:10.1063/1.4847535.
[14]BROWN J L,ALEXANDER C S,ASAY J R,et al.Flow strength of tantalum under ramp compression to 250 GPa[J].Journal of Applied Physics,2014,115(4):043530.DOI:10.1063/1.4863463.
[15]DAVIS J P,BROWN J L,KNUDSON M D,et al.Analysis of shockless dynamic compression data on solids to multimegabar pressure:application to tantalum[J].Journal of Applied Physics,2014,116:204903.DOI:10.1063/1.4902863.
[16]OCKENDON H,OCKENDON J R,PLATT J D.Determining the equation of state of highly plasticised metals from boundary velocimetry:part I[J].Journal Engineering Mathematics,2010,68:269-277.DOI:10.1007/s10665-010-9401-0.
[17]HINCH E J.Determining the equation of state of highly plasticised metals from boundary velocimetry[J].Journal Engineering Mathematics,2010,68:279-289.DOI:10.1007/s10665-010-9379-7.
[18]JIN Yunsheng,SUN Chengwei,ZHAO Jianheng,et al.Optimization of loading pressure waveforms for piston driven isentropic compression[J].Journal of Applied Physics,2014,115(24):243506.DOI:10.1063/1.4885756.
[19]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,2016,93:134105.DOI:10.1103/PhysRevB.93.134105.
[20]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 Hongping,SUN Chengwei,LI Mu,et al.Backward integration method in data processing of quasi-isentropic compression experiment[J].Chinese Journal of Theoretical and Applied Mechanics,2011,43(1):105-111.DOI:10.6052/0459-1879-2011-1-lxxb2010-053.