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Journal of Engineering Mathematics

, Volume 68, Issue 3–4, pp 279–289 | Cite as

Determining the equation of state of highly plasticised metals from boundary velocimetry

Part II. An inverse problem or not
  • E. J. HinchEmail author
Article

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.

Keywords

Bootstrap numerical method Equation of state Hodograph 

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References

  1. 1.
    Ockendon H, Ockendon JR, Platt J (2010) Determining the equation of state of highly plasticised metals from boundary velocimetry. J Eng Math, this issueGoogle Scholar
  2. 2.
    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: 733–740CrossRefADSGoogle Scholar
  3. 3.
    Rothman SD, Maw J (2006) Characteristics analysis of isentropic compression experiments (ICE). J Phys IV Fr 134: 745–750CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.CMS-DAMTP, Cambridge UniversityCambridgeUK

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