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

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 i...

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Veröffentlicht in:	Journal of engineering mathematics 2010-12, Vol.68 (3-4), p.269-277
Hauptverfasser:	Ockendon, H., Ockendon, J. R., Platt, J. D.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Boundaries Computational Mathematics and Numerical Analysis Density Equations of state Hodographs Mathematical analysis Mathematical and Computational Engineering Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Theoretical and Applied Mechanics Transformations Velocimetry Velocity measurement
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Beschreibung
Zusammenfassung:	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.
ISSN:	0022-0833 1573-2703
DOI:	10.1007/s10665-010-9401-0