Invariant functional forms for the second, third, and fourth order Birch-Murnaghan equation of state for materials subject to hydrodynamic shock

Hrbek, George M.
April 2000
AIP Conference Proceedings;2000, Vol. 505 Issue 1, p169
Academic Journal
Group Theoretical Methods as defined by Lie are applied to the problem of temperature independent, hydrodynamic shock in a Birch-Murnaghan continuum. Ratios of the group parameters are shown to be linked to physical parameters specified in the second, third, and fourth order BM-EOS approximations. We provide an illustrative example of how the expansion ratio (c[SUB1]/c[SUB2]) and the material resistance condition (c[SUB4]/c[SUB2]) are a function of the compression ratio β, for a spherical shock wave propagating through MgO and Na.


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