Characteristic method for isentropic compression simulation

A characteristic method has been developed using a Murnaghan-form isentropic equation and characteristics, which has been verified by example uses. General information of two ramp compression experiments was calculated, which matched experimental ones well except for some tiny distinctions. Finally, the factors influencing the precision of this model were discussed and other practical applications were presented.

[1]  John B. Aidun,et al.  Analysis of Lagrangian gauge measurements of simple and nonsimple plane waves , 1991 .

[2]  M. E. Kipp,et al.  WONDY V: a one-dimensional finite-difference wave-propagation code , 1982 .

[3]  S. D. Rothman,et al.  Characteristics analysis of Isentropic Compression Experiments (ICE) , 2006 .

[4]  Richard Fowles,et al.  Plane Stress Wave Propagation in Solids , 1970 .

[5]  Gilbert W. Collins,et al.  Diamond at 800 GPa. , 2009, Physical review letters.

[6]  R. F. Williams,et al.  Determination of Constitutive Relationships with Multiple Gauges in Nondivergent Waves , 1971 .

[7]  R. P. Drake,et al.  Experimental astrophysics with high power lasers and Z pinches , 2004 .

[8]  F. Harlow,et al.  Formation and Penetration of High‐Speed Collapse Jets , 1966 .

[9]  J.-P. Davis,et al.  Measurement of the principal isentropes of lead and lead–antimony alloy to ∼400 kbar by quasi-isentropic compression , 2005 .

[10]  D. Bliss,et al.  Magnetically driven isentropic compression to multimegabar pressures using shaped current pulses on the Z accelerator , 2004 .

[11]  Richard Courant,et al.  Supersonic Flow And Shock Waves , 1948 .

[12]  J. Davis.  Experimental measurement of the principal isentrope for aluminum 6061-T6 to 240 GPa , 2006 .

[13]  Stephen John Moon,et al.  High planarity x-ray drive for ultrafast shockless-compression experimentsa) , 2007 .

[14]  J Edwards,et al.  Laser-driven plasma loader for shockless compression and acceleration of samples in the solid state. , 2004, Physical review letters.

[15]  M. J. Edwards,et al.  High pressure, quasi-isentropic compression experiments on the Omega laser , 2006 .

[16]  D. Hayes.  Backward Integration of the Equations of Motion to Correct for Free Surface Perturbations , 2001 .

[17]  R. Mcqueen,et al.  Compression of Solids by Strong Shock Waves , 1958 .

[18]  G. Chiarotti,et al.  Physics of iron at Earth's core conditions , 2000, Science.

[19]  Randall P. Johnson,et al.  Quasi-isentropic compression by ablative laser loading: response of materials to dynamic loading on nanosecond time scales. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  J. Meyer-ter-Vehn,et al.  The physics of inertial fusion - Hydrodynamics, dense plasma physics, beam-plasma interaction , 2004 .

[21]  M. Koenig,et al.  Direct laser-driven ramp compression studies of iron: A first step toward the reproduction of planetary core conditions , 2013 .

[22]  Lynn Seaman,et al.  Lagrangian analysis for multiple stress or velocity gages in attenuating waves , 1974 .

[23]  Robert E. Rudd,et al.  High strain-rate plastic flow in Al and Fe , 2011 .

[24]  Michael D. Furnish,et al.  Isentropic compression of irradiated stainless steel on the Z accelerator , 2003 .