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Journal of Engineering Mathematics

, Volume 68, Issue 3–4, pp 269–277 | Cite as

Determining the equation of state of highly plasticised metals from boundary velocimetry: part I

  • H. Ockendon
  • J. R. Ockendon
  • J. D. PlattEmail author
Article

Abstract

Assuming that a highly plasticised metal has an equation of state that relates pressure to density, an inverse problem is set up to determine this equation of state from boundary velocity measurements. A transformation into the hodograph plane then leads to an overdetermined Goursat problem, which is used to find the polytropic equation of state that is in best agreement with the measurements.

Keywords

Equation of state Highly stressed materials Murnaghan model 

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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Mathematical InstituteUniversity of OxfordOxfordUK

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