Elastic Moduli and Elastic Constants of Alloy AuCuSi With FCC Structure Under Pressure

Abstract

This paper studies on the dependence of the mean nearest neighbor distance, the Young modulus E, the bulk modulus K, the rigidity modulus G and the elastic constants C11, C12, C44 on temperature, pressure, the concentration of substitution atoms and the concentration of interstitial atoms for alloy AuCuSi (substitution alloy AuCu with interstitial atom Si) with FCC structure by the way of the statistical moment method (SMM). The numerical results for alloy AuCuSi are compared with the numerical results for main metal Au, substitution alloy AuCu, interstitial alloy AuSi, other calculated results and experiments.

Study of Nonlinear Deformation of FCC‐AuCuSi under Pressure by the Statistical Moment Method

“…In our model, for interstitial alloy AC with FCC structure and concentration condition c C << c A (c A � N A /N is the concentration of atoms A, N A is the number of atoms A, c C � N C /N is the concentration of atoms C, N C is the number of atoms C, and N � N A + N C is the total number of atoms of the alloy AC), the cohesive energy u 0 and the alloy parameters k, c 1 , c 2 , c (k is called the harmonic parameter and c 1 , c 2 , c are called anharmonic parameters) for the interstitial atom C in face centers of cubic unit cell in the approximation of two coordination spheres have the form [5][6][7][8][9][10]…”

“…2 Advances in Materials Science and Engineering e cohesive energy u 0 and the alloy parameters k, c 1 , c 2 , c for the main metal atom A 2 in corners of cubic unit cell in the approximation of three coordination spheres have the form [5][6][7][8][9][10]…”

“…Advances in Materials Science and Engineering e equations of state for FCC interstitial alloy at temperature T and pressure P and at 0 K and pressure P are written in the form [5,6,[8][9][10]23] Pv � −r 1 1 6…”

“…the parameters k X (P, 0), c 1X (P, 0), c 2X (P, 0), c X (P, 0), the displacement y 0X (P, T) of atom X from equilibrium position as in [21], the nearest neighbor distance r 1X (P, T), and the mean nearest neighbor distance between two atoms A in alloy r 1A (P, T) as follows [5,6,[8][9][10]:…”

“…e study of elastic and thermodynamic properties of perfect ternary and binary interstitial alloys has also been attractive such as the theory of interstitial alloy [1], calculations from first principles, many-body potentials and dynamical dynamics for defects in metals, alloys and solid solutions [2][3][4] and elastic and thermodynamic properties of perfect ternary and binary interstitial alloys. We have studied the elastic deformation for body-entered cubic (BCC) and face-centered cubic (FCC) ternary and binary interstitial alloys under pressure by the statistical moment method (SMM) in [5][6][7][8][9][10]. e dependence of elastic and nonlinear deformations of materials on temperature, pressure, and concentration of components has very important role in predicting and understanding their interatomic interactions, strength, mechanical stability, phase transition mechanisms, and dynamical response.…”