Abstract
The known value of Poisson’s ratio specifying the relation between the strains along the principal directions in the case of uniaxial strain is used to propose an approach to derive an equation relating this ratio to the exponents of the Mie pair potential. An example of determining one of these exponents is discussed when the other exponent is given.
Similar content being viewed by others
References
R. W. Christy and A. Pytte, The Structure of Matter: Introduction to Modern Physics (Benjamin, New York, 1965; Nauka, Moscow, 1969).
H. S. Tsien, Physical Mechanics (Mir, Moscow, 1965) [Russian translation].
A. O. E. Animalu, Intermediate Quantum Theory of Crystalline Solids (Prentice Hall, Englewood Cliffs, 1977; Mir, Moscow, 1981).
A. M. Krivtsov and N. V. Krivtsova, “Method of Particles and Its Application to Mechanics of Solids,” Dal’nevost. Mat. Zh. 3 (2), 254–276 (2002).
E. A. Ivanova, A. M. Krivtsov, N. F. Morozov, and A. D. Firsova, Theoretical Mechanics. Determination of Equivalent Elastic Characteristics of Discrete Systems (Polytech. Univ., St. Petersburg, 2004) [in Russian].
E. A. Podolskaya and A. M. Krivtsov, “Description of the Geometry of Crystals with a Hexagonal Close-Packed Structure Based on Pair Interaction Potentials,” Fiz. Tverd. Tela 54 (7), 1327–1334 (2012) [Phys. Solid State 54 (7), 1408–1416 (2012)].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © G.Z. Sharafutdinov, 2017, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2017, Vol. 72, No. 6, pp. 34–38.
About this article
Cite this article
Sharafutdinov, G.Z. Determining the Mie potential parameters using Poisson’s ratio. Moscow Univ. Mech. Bull. 72, 129–132 (2017). https://doi.org/10.3103/S0027133017060012
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0027133017060012