The elastic deformations of main metal A is special case of elastic deformation for interstitial alloy AB. The theoretical results are applied to alloy FeC under pressure. The numerical results for this alloy are compared with the numerical results for main metal Fe and experiments. | VNU Journal of Science: Mathematics – Physics, Vol. 35, No. 1 (2019) 1-12 Review article Study on Elastic Deformation of Interstitial Alloy FeC with BCC Structure under Pressure Nguyen Quang Hoc1, Tran Dinh Cuong1, Nguyen Duc Hien2,* 1 Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam 2 Mac Dinh Chi High School, Chu Pah District, Gia Lai, Vietnam Received 03 December 2018 Revised 16 January 2019; Accepted 04 March 2019 Abstract: The analytic expressions of the free energy, the mean nearest neighbor distance between two atoms, the elastic moduli such as the Young modulus E, the bulk modulus K, the rigidity modulus G and the elastic constants C11, C12, C44 for interstitial alloy AB with BCC structure under pressure are derived from the statistical moment method. The elastic deformations of main metal A is special case of elastic deformation for interstitial alloy AB. The theoretical results are applied to alloy FeC under pressure. The numerical results for this alloy are compared with the numerical results for main metal Fe and experiments. Keywords: interstitial alloy, elastic deformation, Young modulus, bulk modulus, rigidity modulus, elastic constant, Poisson ratio. 1. Introduction Elastic properties of interstitial alloys are specially interested by many theoretical and experimental researchers [1-4, 7-12]. For example, in [3] the strengthening effects interstitial carbon solute atoms in (., ferritic or bcc) Fe-C alloys are understood, owning chiefly to the interaction of C with crystalline defects (., dislocations and grain boundaries) to resist plastic deformation via dislocation glide. High-strength steels developed in current energy and infrastructure applications include alloys where in the bcc Fe matrix is thermodynamically supersaturated in carbon. In [4], structural, elastic and thermal properties of cementite (Fe3C) were studied using a Modified Embedded Atom Method (MEAM) potential for iron-carbon (Fe-C) alloys.
