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Elastic Properties of Polycrystalline Fe: The Pressure Effect
Russian version
Krasilnikov O. M. 1, Vekilov Yu. Kh. 1
1National University of Science and Technology MISiS, Moscow, Russia
Email: omkras@mail.ru, yuri.vekilov@gmail.com
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The elastic moduli of a polycrystal (Lame constants) of the second and third order at pressure P are expressed through derivatives of Gibbs free energy with respect to invariants of Lagrange's finite deformation tensor. Relations connecting these Lame constants with corresponding elastic constants of monocrystalline grains having hexagonal lattice structure that constitute the polycrystal are presented. Based on data for second- and third-order elastic constants of ε-Fe, the respective Lame constants of polycrystalline Fe were calculated over the pressure range from 50 to 340 GPa. Using the obtained results, an analysis was carried out on the intensity of various three-phonon scattering processes in iron and their dependence on pressure Keywords: high pressures, Lame constants of the second and third order, three-phonon scattering processes.
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