Elastic deformation and elastic wave velocity of ternary alloys FeCrSi and AuCuSi

The paper uses the model of cubic ternary substitutional and interstitial alloy and conditions in which the interstitial atom concentration is very small compared to the substitutional atom concentration, the substitutional atom concentration is very small compared to the main metal atom concentration. On that basis together with the elastic wave and the elastic deformation theory of this alloy obtained by the statistical moment method, we perform numerical calculations for temperature, pressure, the concentration of substitutional atoms, and concentration of interstitial atoms dependences of the elastic moduli E, K, G, the elastic constants C11, C12, C44, the longitudinal wave velocity Vd and the transverse wave velocity Vn of alloys FeCrSi and AuCuSi. Numerical results for FeCrSi and AuCuSi are compared with that of Fe, FeCr, FeSi, Au, AuCu, AuSi, and other calculations, and experiments. Numerical results for ternary alloys predict experimental results in the future.