Application of Statistical Moment Method to Thermodynamic Properties and Phase Transformations of Metals and Alloys

2008 ◽  
pp. 209-240
Author(s):  
K. Masuda-Jindo ◽  
Vu Van Hung ◽  
P.E.A. Turchi
Keyword(s):  
Thermodynamic Properties ◽  
Phase Transformations ◽  
Moment Method ◽  
Statistical Moment ◽  
Metals And Alloys ◽  
Statistical Moment Method

Application of Statistical Moment Method to Thermodynamic Properties and Phase Transformations of Metals and Alloys

2008 ◽  
Vol 138 ◽  
pp. 209-240 ◽  
Author(s):  
K. Masuda-Jindo ◽  
Vu Van Hung ◽  
P.E.A. Turchi
Keyword(s):  
Thermodynamic Properties ◽  
Phase Transformations ◽  
Moment Method ◽  
Structural Phase ◽  
Equilibrium Phase ◽  
Statistical Moment ◽  
Metals And Alloys ◽  
Thermodynamic Quantities ◽  
Specific Heats ◽  
Statistical Moment Method

The thermodynamic properties and phase transformations of metals and alloys are studied using the statistical moment method, going beyond the quasi-harmonic approximations. Including the power moments of the atomic displacements up to the fourth order, the Helmholtz free energies and the related thermodynamic quantities are derived explicitly in closed analytic forms. The thermodynamic quantities, like thermal lattice expansion coefficients, specific heats, Grüneisen constants, elastic constants calculated by using the SMM are compared with those of other theoretical schemes and the experimental results. The hcp-bcc structural phase transformations observed for IVB elements, Ti, Zr and Hf, are discussed in terms of the anharmonicity of thermal lattice vibrations. The equilibrium phase diagrams are calculated for the refractory Ta-W and Mo-Ta bcc alloys. In addition, the temperature dependence of the elastic moduli C11, C12 and C14 and those of the ideal tensile and shear strengths of the bcc elements Mo, Ta and W are studied: We also discuss the melting transitions of metals and alloys within the framework of the SMM and estimate the melting temperatures through the limiting temperature of the crystalline stability.

Study of ideal strengths of metals and alloys by statistical moment method: Temperature dependence

2007 ◽  
Vol 22 (8) ◽  
pp. 2230-2240 ◽  
Author(s):  
Vu Van Hung ◽  
K. Masuda-Jindo ◽  
Nguyen Thi Hoa
Keyword(s):  
Temperature Dependence ◽  
Moment Method ◽  
Density Functional ◽  
Tight Binding ◽  
Statistical Moment ◽  
Metals And Alloys ◽  
The Body ◽  
Energy Relation ◽  
Transition Elements ◽  
Statistical Moment Method

The ideal strengths of metals and alloys at finite temperatures have been studied using the statistical moment method. The tensile and shear strengths of the body-centered cubic (bcc) transition metals like Mo and W (refractory metals), and ordered FeAl (B2) and Fe3Al (DO3) alloys are calculated as a function of the temperature. The orthogonal tight-binding method is used for bcc transition elements, while the universal binding-energy relation (UBER)-type of pairwise potentials, derived from ab initio density-functional theory, is used for the FeAl and Fe3Al alloys. We discuss the temperature dependence of the tensile and shear strengths of the metals and alloys in conjunction with those of the second-order elastic constants.

THERMODYNAMIC PROPERTY OF ALLOY FCC-AuCuLi AT ZERO PRESSURE

2021 ◽  
Vol 66 (3) ◽  
pp. 69-80
Author(s):  
Hoc Nguyen Quang ◽  
Hien Nguyen Duc
Keyword(s):  
Thermodynamic Properties ◽  
Thermodynamic Property ◽  
Moment Method ◽  
Thermodynamic Theory ◽  
Statistical Moment ◽  
Experimental Results ◽  
Thermodynamic Quantities ◽  
The Future ◽  
Statistical Moment Method

We briefly present the thermodynamic theory of FCC ternary substitutional and interstitial alloy at zero pressure derived by the statistical moment method and apply this theory to alloy AuCuLi. The thermodynamic properties of Au, AuCu and AuLi are specific cases for that of AuCuLi. We compare the thermodynamic properties of alloys AuCuSi and AuCuLi. Our calculated results of thermodynamic quantities for AuCuLi predict and orient experimental results in the future.

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