Abstract
This is a follow-up paper to that of Ockendon et al. (J. Eng. Math., this issue). A more detailed derivation is provided, along with a numerical method which determines directly the full equation of state relating pressure to density. The issue of whether or not the problem is an inverse problem is discussed.
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References
Ockendon H, Ockendon JR, Platt J (2010) Determining the equation of state of highly plasticised metals from boundary velocimetry. J Eng Math, this issue
Rothman SD, Davis J-P, Maw J, Robinson CM, Parker K, Palmer KJ (2005) Measurement of the principal isentropes of lead and lead-antimony alloy to 400 kbar by quasi-isentropic compression. J Phys D Appl Phys 38: 733–740
Rothman SD, Maw J (2006) Characteristics analysis of isentropic compression experiments (ICE). J Phys IV Fr 134: 745–750
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Hinch, E.J. Determining the equation of state of highly plasticised metals from boundary velocimetry. J Eng Math 68, 279–289 (2010). https://doi.org/10.1007/s10665-010-9379-7
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DOI: https://doi.org/10.1007/s10665-010-9379-7