Abstract
Starting from the canonical equations of an elastic field formulated in the first part of this paper, conservation laws for an elastic field are obtained which are analogous to the energy and momentum conservation laws for an electromagnetic field. Expressions are found for the group velocity and the damping coefficient of elastic waves in a medium with space-time dispersion. A model of a continuous medium containing mobile dislocations is examined as a specific example. The question of the possibility of extending the theory to nonlinear media is discussed.
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E. K. Naimi and S. M. Khzardzhyan, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 9 (1978).
V. L. Ginzburg, Usp. Hz. Nauk,110, No. 2, 309 (1973).
É. A. Meloyan, E. K. Naimi, and S. M. Khzardzhyan, Izv. Akad. Nauk Arm. SSR, Fiz.,10, No. 3, 206 (1975).
Yu. L. Klimontovich, Statistical Theory of Nonequilibrium Processes in a Plasma [in Russian], Moscow State Univ. (1964).
S. A. Balyan, E. K. Naimi, and S. M. Khzardzhyan, Interaction of Radiation with a Substance [in Russian], TsNlITÉIMS, Moscow (1972), pp. 140–144.
E. K. Naimi, S. M. Khzardzhyan, G. M. Zinenkova, and N. A. Tyapunina, Internal Friction Mechanisms in Semiconductor and Metal Materials [in Russian], Nauka, Moscow (1972), pp. 59–64.
G. Eshelby, Continual Theory of Dislocations [Russian translation], IL, Moscow (1963).
V. V. Nikolaev, A. N. Orlov, and G. G. Taluts, Fiz. Met. Metalloved.,23, No. 3, 424 (1967).
S. A. Akhmanov and R. V. Khokhlov, Problems of Nonlinear Optics [in Russian], VINITI, Moscow (1964).
V. I. Karpman, Nonlinear Waves in Dispersive Media [in Russian], Nauka, Moscow (1973).
L. K. Zarembo and V. A. Krasil'nikov, Usp. Fiz. Nauk,102, No. 4, 549 (1970).
O. V. Rudenko and S. I. Soluyan, Theoretical Principles of Nonlinear Acoustics [in Russian], Nauka, Moscow (1975).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 13–20, November, 1978.
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Naimi, E.K., Khzardzhyan, S.M. Theory of elastic waves in real crystals. II.. Soviet Physics Journal 21, 1398–1403 (1978). https://doi.org/10.1007/BF00890342
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DOI: https://doi.org/10.1007/BF00890342