Dynamic materials experiments on the Z-machine are beginning to reach a regime where traditional analysis techniques break down. Time dependent phenomena such as strength and phase transition kinetics often make the data obtained in these experiments difficult to interpret. We present an inverse analysis methodology to infer the equation of state (EOS) from velocimetry data in these types of experiments, building on recent advances in the propagation of uncertain EOS information through a hydrocode simulation. An example is given for a shock-ramp experiment in which tantalum was shock compressed to 40 GPa followed by a ramp to 80 GPa. The results are found to be consistent with isothermal compression and Hugoniot data in this regime.
REFERENCES
1.
M. H.
Rice
, R. G.
McQueen
and J. M.
Walsh
, in Solid State Physics
, edited by F.
Seitz
and D.
Turnbull
(1958
), Vol. 6
.2.
J. B.
Aidun
and Y. M.
Gupta
, J. Appl. Phys.
69
(10
), 6998
–7014
(1991
).3.
M. K.
Matzen
, et al., Phys. Plasmas
12
(5
), 055503
(2005
).4.
M. D.
Knudson
, in Shock Compression of Condensed Matter - 2011
, edited by M. L.
Elert
, W. T.
Buttler
, J. P.
Borg
, J. L.
Jordan
and T. J.
Vogler
(Amer Inst Physics
, Melville
, 2012
), Vol. 1426
, pp. 35
–42
.5.
C. T.
Seagle
, J. P.
Davis
, M. R.
Martin
and H. L.
Hanshaw
, Applied Physics Letters
102
(24
) (2013
).6.
L. M.
Barker
and R. E.
Hollenbach
, J. Appl. Phys.
43
(11
), 4669
–4675
(1972
).7.
A. C.
Robinson
, et al., in Proceedings of the 46th AIAA Aerospace Sciences Meeting and Exhibit
(American Institute of Aeronautics and Astronautics, Inc
, Reston, VA
, 2008
).8.
D. J.
Steinberg
, S. G.
Cochran
and M. W.
Guinan
, J. Appl. Phys.
51
(3
), 1498
–1504
(1980
).9.
J. L.
Brown
, C. S.
Alexander
, J. R.
Asay
, T. J.
Vogler
, D. H.
Dolan
and J. L.
Belof
, J. Appl. Phys.
115
(4
), 043530
(2014
).10.
S. D.
Crockett
and S. P.
Rudin
, Los Alamos National Laboratory Report No. LA-UR-06–8401
, 2006
.11.
A. C.
Robinson
, R. D.
Berry
, J. H.
Carpenter
, B.
Debusschere
, R. R.
Drake
, A. E.
Mattsson
and W. J.
Rider
, Computers & Fluids
83
(0
), 187
–193
(2013
).12.
J. H.
Carpenter
, S.
Root
, K. R.
Cochrane
, D. G.
Flicker
and T. R.
Mattsson
, Report No. SAND2012-7991
, 2012
.13.
14.
A. C.
Mitchell
and W. J.
Nellis
, J. Appl. Phys.
52
(5
), 3363
–3374
(1981
).15.
A.
Dewaele
, P.
Loubeyre
and M.
Mezouar
, Phys. Rev. B
70
(9
), 094112
(2004
).16.
H.
Cynn
and C.-S.
Yoo
, Phys. Rev. B
59
(13
), 8526
–8529
(1999
).17.
C. W.
Greeff
, S. P.
Rudin
, S. D.
Crockett
and J. M.
Wills
, in Shock Compression of Condensed Matter - 2009
, edited by M. L.
Elert
, W. T.
Buttler
, M. D.
Furnish
, W. W.
Anderson
and W. G.
Proud
(Amer Inst Physics
, Melville
, 2009
), Vol. 1195
, pp. 681
–684
.18.
J.-P.
Davis
, J. L.
Brown
, M. D.
Knudson
and R. W.
Lemke
, J. Appl. Phys.
116
(20
), 204903
(2014
).
This content is only available via PDF.
© 2017 Author(s).
2017
Author(s)
