球面内爆实验对比法测量材料冲击压缩线有关问题.pdfVIP

* Whitham 621900 On measurements of Hugoniot with spherical implosion device LI Ping , JIANG Yang, HUA Jin-song, TAN Hua WU Qiang (Institute of Fluid Physics, CAEP, Sicuan, Mianyang, 621900) Abstract:The problems of experimental data analysis are investigated in measurements of Hugoniot with spherical implosion device and impedance-match technique. Based on Whitham regulation, methods are presented to correct convergent effect of shock velocity. The relationship between average shock velocities of samples is developed to satisfy the impedance-match condition. The errors caused by experimental-average-shock-velocity are primarily discussed. Key words: spherical implosion; impedance-match technique; experimental data analysis 1 90 2500GPa 50 1000GPa 2000GPa [1] - * 1966 [2] - E-mail: lp0703@263.net 628 2- 1 - R1 ρ1(R1) ? λ1 ? uT2 (R1) ? [ρ1(R1) ? c01 + 2ρ1(R1) ? λ1 ? u1(R1) + ρ02 ? DT (R1)]? uT (R1) + [ p1(R1) + ρ1(R1) ? c01 ? u1(R1) + ρ1(R1) ? λ1 ? u12 (R1)] = 0 1 C01 1 R1 DT R1 1 R1 D1 R1 p1 R1 u1 R1 DT R1 D1 R1 uT R1 D1 R1 DT R1 D(R1D) (Rm) D(R1D) T(DRT1()Rn) 1 Fig.1 Schematic of a hemispherical explosion measuring device R2 D1 R R1 [3]: D1 R1 R1 (3) , : t2 t1 Whitham - R1 D1 (R) = D1 ( R1 ) ? ? ?? R1 R ? ?? A1 A1 dR dt = D1 ( R) = D1(R1) ? ? ?? R1 R ? A1 ?? 1 A1+ 1 ? ( R A1+1 2 ? R A1+1 1 ) = D1 (R1 ) ? R1A1 ? (t2 ? t1) R2 R1 t2 ? t1 = 1 A1 + 1 ? R ? RA1+1 2 A1+1 1 D1 (R1 ) ? R1A1 R 2: D Aver S tan dard : 629 2 3 4 5 D Aver S tan dard = R2 t2 ? R1 ? t1 = (A1+1) ? (R2 ? R1) ? D1(R1) ? R1A1 R ? RA1+1 2 A1+1 1 - R1 D(R1) : 6 DT R1 D Aver Sample DT R1 7 8 D1 ( R1 ) = 1 A1 + 1 ? D Aver S tan dard (R2 ? ( R A1+1 2 ? R A1+1 1 ) ? R1 ) ? R1A1 R2 R1 7 - R1 DT ( R1 ) = 1 A2 +1 ? D Aver Sample ? ( R A2+1 2 ? R A2+1 1 ) (R2 ? R1 ) ? R1A2 8 1 A2 - R1 R1 D Aver S tan dard D1 R1 uT R1 D Aver Sample 3 - 25mm TPa - D1 R2 D1 R1 D1(R1) D Aver s tan dard D1(R2 ) [R1,R2] Rm D1(Rm ) = D Aver s tan dard : D1 ( Rm ) = ( A1 + 1) ? (R2 ? R1) ? D(R1) ? R A1+1 2 ? R A1+1 1 R1A1 9 2 , Rm :