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@Article { Perevoshchikova:2011,
   title = {A convex hull algorithm for minimization of Gibbs energy in two-phase multicomponent alloys},
   journal = {Solid State Phenomena},
   year = {2011},
   volume = {172-174},
   number = {Part 1},
   pages = {1214-1219},
   abstract = {We have adapted the Quickhull algorithm with the general dimension Beneath-Beyond algorithm {[}6] for computing the convex hull of the Gibbs energy hypersurface of multicomponent two-phase alloys. We illustrate the salient features of our method with calculations of isothermal ferrite-austenite equilibria in Fe-C-Cr. Finally, successive equilibrium calculations in a Fe-C-Cr-Mo steel over a large temperature range show the benefit of computing the convex hull before performing the conventional Newton-Raphson search.},
   note = {D{\'e}partement SI2M : Microstructures et Contraintes},
   editor = {Brechet, Y and Clouet, E and Deschamps, A and Finel, A and Soisson, F},
   series = {Solid State Phenomena},
   booktitle = {SOLID-SOLID PHASE TRANSFORMATIONS IN INORGANIC MATERIALS, PTS 1-2},
   organization = {Mat \& Process Sci \& Engn Lab; CEA, Tranverse Programme Adv Mat; French Aerospace Lab; Inst Chem, Natl Ctr Sci Res; French Phase Field Network; Lab Etude Microstructures},
   ISSN = {1012-0394},
   DOI = {10.4028/www.scientific.net/SSP.172-174.1214},
   author = {Appolaire, Benoit and Perevoshchikova, Nataliya and Teixeira, Julien and Denis, Sabine}
}