A Convex Hull Algorithm for Minimization of Gibbs Energy in Two-Phase Multicomponent Alloys

Abstract:

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We have adapted the Quickhull algorithm with the general dimension Beneath-Beyondalgorithm [6] for computing the convex hull of the Gibbs energy hypersurface of multicomponenttwo-phase alloys. We illustrate the salient features of our method with calculations of isothermalferrite-austenite equilibria in Fe-C-Cr. Finally, successive equilibrium calculations in a Fe-C-Cr-Mosteel over a large temperature range show the benefit of computing the convex hull before performingthe conventional Newton-Raphson search.

Info:

Periodical:

Solid State Phenomena (Volumes 172-174)

Edited by:

Yves Bréchet, Emmanuel Clouet, Alexis Deschamps, Alphonse Finel and Frédéric Soisson

Pages:

1214-1219

DOI:

10.4028/www.scientific.net/SSP.172-174.1214

Citation:

N. Perevoshchikova et al., "A Convex Hull Algorithm for Minimization of Gibbs Energy in Two-Phase Multicomponent Alloys", Solid State Phenomena, Vols. 172-174, pp. 1214-1219, 2011

Online since:

June 2011

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Price:

$35.00

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