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Theory of elastic waves

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Abstract

Wave processes in real crystals are described by covariant first-order partial differential equations.

Naimi and Khzardzhyan [1] have recently shown that the second-order equations

$$\Delta u^{(n)} - c_n^{ - 2} \partial ^2 u^{(n)} /\partial t^2 = 0$$

,

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Literature cited

  1. E. K. Naimi and S. M. Khzardzhyan, Izv. Vyssh. Uchebn. Zaved. Fiz., No. 9, 47 (1978); No. 11, 13 (1978).

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  2. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, 4th ed., Pergamon Press, Oxford (1975).

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  3. N. N. Bogolyubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields, Interscience (1959).

  4. L. D. Landau and E. M. Lifshitz, Theory of Elasticity, 2nd ed., Pergamon Press, Oxford (1970).

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  5. J. D. Eshelby, “Continuum theory of lattice defects,” Solid State Phys.,3, 79 (1956).

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  6. V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Relativistic Quantum Theory, Oxford (1971).

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Authors and Affiliations

  1. Balakovo Branch, Saratov Polytechnic Institute, USSR

    A. I. Olemskoi

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  1. A. I. Olemskoi
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 6–9, December, 1980.

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Olemskoi, A.I. Theory of elastic waves. Soviet Physics Journal 23, 988–991 (1980). https://doi.org/10.1007/BF00896438

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  • DOI: https://doi.org/10.1007/BF00896438

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