Temperature and pressure dependence of elastic moduli for interstitial alloys like Fe-C alloys with bcc structure has been investigated by using statistical moment method (SMM). The Young moduli of Fe-C alloys is calculated as a function of the temperature and pressure. | JOURNAL OF SCIENCE OF HNUE Natural Sci. 2010 Vol. 55 No. 6 pp. 20-27 STUDY OF ELASTIC MODULI OF Fe-C ALLOYS PRESSURE DEPENDENCE Vu Van Hung and Nguyen Thi Thu Hien Hanoi National University of Education Email bangvu57@ Abstract. Temperature and pressure dependence of elastic moduli for in- terstitial alloys like Fe-C alloys with bcc structure has been investigated by using statistical moment method SMM . The Young moduli of Fe-C alloys is calculated as a function of the temperature and pressure. We discusss the temperature and pressure dependence of the elastic moduli of Fe-C alloys with the different interstitial concentrations and compare the SMM elastic moduli calculations with those of the experimental results. Keywords Elastic moduli Fe-C alloys temperature dependence pressure dependence. 1. Introduction Carbon interstice in metals and alloys is a current subject of considerable ex- perimental and theoretical investigations 1-5 . A small number of theoretical studies have focused on diffusion in pure metals Ti Fe etc. at high interstitial concentra- tion 2 5 . Some approaches in the form of Green s function technique 6 and first principles calculations 1 3 5 7 have been used to explain the lattice dynamics and predict the lattice parameters elastic constant and moduli vibrational properties of Fe-C systems. To understand the natrure of the lattice dynamics and influence of interstitial elements on the mechanical and thermodynamic properties of Fe-C system knowl- edge of the many - body interaction potential of bcc Fe alloyed with C is required. Recently empirical potentials 8 have been developed for point defect clusters in Fe-C alloys. The purpose of the present article is to investigate the Young moduli E of interstitial Fe-C alloys using the statistical moment method SMM 9-12 . In the study the influences of the temperature pressure and C interstitial concentration on the Young modulus E of Fe-C alloys have been studied using the many body .
