Calculating optimal conditions for alloy and process design using thermodynamic and property databases, the Fact Sage software and the Mesh Adaptive Direct Search algorithm

被引：43

作者：

Gheribi, A. E. ^{[1
]}

Audet, C. ^{[2
,3
]}

Le Digabel, S. ^{[2
,3
]}

Belisle, E. ^{[1
]}

Bale, C. W. ^{[1
]}

Pelton, A. D. ^{[1
]}

机构：

[1] Ecole Polytech, Dept Chem Eng, CRCT, Stn Downtown, Montreal, PQ H3C 3A7, Canada

[2] Ecole Polytech, GERAD, Montreal, PQ H3C 3A7, Canada

[3] Ecole Polytech, Dept Math & Ind Eng, Montreal, PQ H3C 3A7, Canada

来源：

CALPHAD-COMPUTER COUPLING OF PHASE DIAGRAMS AND THERMOCHEMISTRY | 2012年 / 36卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Multi-objective optimization; Direct search methods; Alloy design; Process design; FactSage software; MADS algorithm; OPTIMIZATION; SYSTEM;

D O I：

10.1016/j.calphad.2011.06.003

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

During alloy and process design, it is often desired to identify regions of design or process variables for which certain calculated functions have optimal values under various constraints, for example, compositions of minimum liquidus temperature in an N-component alloy; compositions where the amount of precipitate in a given phase is maximized or minimized during annealing or rolling; other calculated functions such as densities, vapor pressures and viscosities; or the overall cost. The present work reports on the development of software, linked to the FactSage thermodynamic and property database system, to perform such calculations. The software uses the Mesh Adaptive Direct Search algorithm (MADS) designed to solve non-smooth optimization problems for which the objectives and constraints are typically outputs of computer simulations. Numerical results for several examples are presented. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：135 / 143

页数：9

共 33 条

[1] ORTHOMADS: A DETERMINISTIC MADS INSTANCE WITH ORTHOGONAL DIRECTIONS [J].

Abramson, Mark A. ;

Audet, Charles ;

Dennis, J. E., Jr. ;

Le Digabel, Sebastien .

SIAM JOURNAL ON OPTIMIZATION, 2009, 20 (02) :948-966

[2]

[Anonymous], MPS SIAM BOOK SERIES

[3] Mesh adaptive direct search algorithms for constrained optimization [J].

Audet, C ;

Dennis, JE .

SIAM JOURNAL ON OPTIMIZATION, 2006, 17 (01) :188-217

[4] Nonsmooth optimization through mesh adaptive direct search and variable neighborhood search [J].

Audet, Charles ;

Bechard, Vincent ;

Le Digabel, Sebastien .

JOURNAL OF GLOBAL OPTIMIZATION, 2008, 41 (02) :299-318

[5] Multiobjective optimization through a series of single-objective formulations [J].

Audet, Charles ;

Savard, Gilles ;

Zghal, Walid .

SIAM JOURNAL ON OPTIMIZATION, 2008, 19 (01) :188-210

[6] Spent potliner treatment process optimization using a MADS algorithm [J].

Audet, Charles ;

Bechard, Vincent ;

Chaouki, Jamal .

OPTIMIZATION AND ENGINEERING, 2008, 9 (02) :143-160

[7] Globalization strategies for Mesh Adaptive Direct Search [J].

Audet, Charles ;

Dennis, J. E., Jr. ;

Le Digabel, Sebastien .

COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2010, 46 (02) :193-215

[8] A PROGRESSIVE BARRIER FOR DERIVATIVE-FREE NONLINEAR PROGRAMMING [J].

Audet, Charles ;

Dennis, J. E., Jr. .

SIAM JOURNAL ON OPTIMIZATION, 2009, 20 (01) :445-472

[9] FactSage thermochemical software and databases [J].

Bale, C ;

Chartrand, P ;

Degterov, SA ;

Eriksson, G ;

Hack, K ;

Ben Mahfoud, R ;

Melançon, J ;

Pelton, AD ;

Petersen, S .

CALPHAD-COMPUTER COUPLING OF PHASE DIAGRAMS AND THERMOCHEMISTRY, 2002, 26 (02) :189-228

[10] FactSage thermochemical software and databases - recent developments [J].

Bale, C. W. ;

Belisle, E. ;

Chartrand, P. ;

Decterov, S. A. ;

Eriksson, G. ;

Hack, K. ;

Jung, I. -H. ;

Kang, Y. -B. ;

Melancon, J. ;

Pelton, A. D. ;

Robelin, C. ;

Petersen, S. .

CALPHAD-COMPUTER COUPLING OF PHASE DIAGRAMS AND THERMOCHEMISTRY, 2009, 33 (02) :295-311

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