Modeling of γ/γ′ phase equilibrium in the nickel-aluminum system
✍ Scribed by J.M. Sanchez; J.R. Barefoot; R.N. Jarrett; J.K. Tien
- Publisher
- Elsevier Science
- Year
- 1984
- Weight
- 838 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0001-6160
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✦ Synopsis
A theoretical model is proposed for the determination of phase equilibrium in alloys taking into consideration dissimilar lattice parameters. Volume dependent pair interactions are introduced by means of phcnomenological Lennard-Jones potentials and the configurational entropy of the system is treated in the tetrahedron approximation of the cluster variation method. The model is applied to the superalloy relevant nickel-rich, ;':; ' phase region of the Ni-Al phase diagram. The model predicts reasonable values for the lattice parameters and the enthalpy of formation as a function of composition, and the calculated phase diagram closely approximates the experimental diagram. R&am&-Nous presentons un modele theorique pour determiner l'&quilibre des phases dam des alliages en considerant des parametres rtticulaires differents. Nous introduisons des interactions de paires d&pendant du volume au moyen de potentiels ph~nom~olo~ques de Lennard et Jones et nous traitons l'entropie de con~gumtion dans l'approximation du tetraedre de la mtthode de variation des amas. Nous appliquons ce modele a la region yi; ' riche en nickel du diagramme de phases Ni-AI, qui conceme les superalliages. Ce modele pttvoit des valeun raisonnables pour les parametres rtticulaires et f'enthalpie de formation en fonction de la composition; le diagramme de phases calculeest tres proehe du diagramme experimental. Ztntamm4aswng-Ein theoretisches Model) wird vorgeschlagen, mit dem das Phasengleichgewicht in Legierungen unter Beriicksichtigung ungleicher Gitterparameter ermittelt werden kann. Volumabhangige Paarwechselwirkungen werden mit phiinomenologischen Lennard-Jones-Potentialen eingefiihrt. Die Konfigurationsentropie des Systems wird in der Tetraedemiihenmg der Clustervariationsmethode behandelt. Das Model1 wird auf den fur Superlegierungen wichtigen nickelreichen y/P'-Phasenbereich des Ni-Al-Phasendiagramms angewendet. Es ergibt vemiinftige Werte fiir Gitterparameter und Bildungsenthalpie in Abhiingigkeit von der Zusammensetzung. Berechnetes und experimentelles Phasendiagramm stimmen in engen Grenzen i&rein 1. iNTRODk_JCTION
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