The computation of dynamical moduli of solids under pressure

Autor: S. B. Grigor'ev, F. F. Voronov, Yu. Ya. Boguslavskii
Rok vydání: 1974
Předmět:
Zdroj: Journal of Applied Mechanics and Technical Physics. 13:571-578
ISSN: 1573-8620
0021-8944
DOI: 10.1007/bf00850405
Popis: On the basis of the theory of finite strains, expressions are obtained in general form for the effective adiabatic second order elastic constants of crystals of any symmetry in terms of the isothermal elastic constants of second, third, and higher orders in the free energy decomposition. These expressions are used in the case of crystals of cubic symmetry under hydrostatic conditions to find the elastic wave velocities in mono- and polycrystals, and their pressure dependences. The polycrystal was considered as an isotropic body consisting of a large number of cubic monocrystals. The isotropic elastic constants were calculated from theoretical and experimental results for monocrystals in the Voigt-Reuss-Hill approximation. A method of applying this approximation to thermodynamic effective second order elastic constants is proposed. The results of a computation are compared with data of experiments to measure the sound velocity in polycrystalline NaCl and CsCl specimens under pressures to 100 kbar. The results of this comparison are discussed.
Databáze: OpenAIRE
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