Elastic deformation and elastic wave velocity of iron and its binary interstitial alloys: Temperature, pressure and interstitial atom concentration dependences

Abstract

Based on the BCC binary interstitial alloy model with the condition that the interstitial atom concentration is very small compared to the main metal atom concentration and the elastic deformation theory of this alloy obtained on the basis of statistical moment method, we perform numerical calculations for elastic deformation quantities such as the elastic moduli E, K, G, the elastic constants C11, C12, C44, the longitudinal wave velocity Vd and the transverse wave velocity Vn of metal Fe and alloys FeSi, FeC, FeH. Numerical results for Fe are in good agreement with experiments and other calculations. The temperature and pressure dependence of the elastic deformation quantities for FeSi, FeC, FeH are similar to those for Fe. The elastic deformation quantities of FeSi, FeC, FeH in the range from 0 to 1000 K, from 0 to 10 GPa and from 0 to 5% of silicon (carbon, hydrogen) atom concentrations predict experimental results.