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      About the Reliability of CALPHAD Predictions in Multicomponent Systems

      research-article
        1 , 2 , * , 3
      Entropy
      MDPI
      alloy design, structural metals, multi-principal element alloys, CALPHAD

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          Abstract

          This study examines one of the limitations of CALPHAD databases when applied to high entropy alloys and complex concentrated alloys. We estimate the level of the thermodynamic description, which is still sufficient to correctly predict thermodynamic properties of quaternary alloy systems, by comparing the results of CALPHAD calculations where quaternary phase space is extrapolated from binary descriptions to those resulting from complete binary and ternary interaction descriptions. Our analysis has shown that the thermodynamic properties of a quaternary alloy can be correctly predicted by direct extrapolation from the respective fully assessed binary systems (i.e., without ternary descriptions) only when (i) the binary miscibility gaps are not present, (ii) binary intermetallic phases are not present or present in a few quantities (i.e., when the system has low density of phase boundaries), and (iii) ternary intermetallic phases are not present. Because the locations of the phase boundaries and possibility of formation of ternary phases are not known when evaluating novel composition space, a higher credibility database is still preferable, while the calculations using lower credibility databases may be questionable and require additional experimental verification. We estimate the level of the thermodynamic description which would be still sufficient to correctly predict thermodynamic properties of quaternary alloy systems. The main factors affecting the accuracy of the thermodynamic predictions in quaternary alloys are identified by comparing the results of CALPHAD calculations where quaternary phase space is extrapolated from binary descriptions to those resulting from ternary system descriptions.

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          Most cited references13

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          A critical review of high entropy alloys and related concepts

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            Accelerated exploration of multi-principal element alloys with solid solution phases

            Recent multi-principal element, high entropy alloy (HEA) development strategies vastly expand the number of candidate alloy systems, but also pose a new challenge—how to rapidly screen thousands of candidate alloy systems for targeted properties. Here we develop a new approach to rapidly assess structural metals by combining calculated phase diagrams with simple rules based on the phases present, their transformation temperatures and useful microstructures. We evaluate over 130,000 alloy systems, identifying promising compositions for more time-intensive experimental studies. We find the surprising result that solid solution alloys become less likely as the number of alloy elements increases. This contradicts the major premise of HEAs—that increased configurational entropy increases the stability of disordered solid solution phases. As the number of elements increases, the configurational entropy rises slowly while the probability of at least one pair of elements favouring formation of intermetallic compounds increases more rapidly, explaining this apparent contradiction.
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              Science and technology in high-entropy alloys

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                Author and article information

                Journal
                Entropy (Basel)
                Entropy (Basel)
                entropy
                Entropy
                MDPI
                1099-4300
                24 November 2018
                December 2018
                : 20
                : 12
                : 899
                Affiliations
                [1 ]CNRS, Université de Bordeaux, ICMCB, UMR 5026, F-33600 Pessac, France
                [2 ]Bordeaux INP, ENSCBP, F-33600 Pessac, France
                [3 ]Air Force Research Laboratory, Materials and Manufacturing Directorate, Wright-Patterson AFB, OH 45433, USA
                Author notes
                Author information
                https://orcid.org/0000-0003-1966-8476
                https://orcid.org/0000-0001-5587-415X
                Article
                entropy-20-00899
                10.3390/e20120899
                7512484
                33266623
                75bcdcb3-8e48-4be4-81ec-70af6d408c2b
                © 2018 by the authors.

                Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( http://creativecommons.org/licenses/by/4.0/).

                History
                : 19 October 2018
                : 22 November 2018
                Categories
                Article

                alloy design,structural metals,multi-principal element alloys,calphad

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