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Investigation of the dispersion equations of a free, transversally isotropic, elastic layer

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Abstract

To investigate the propagation of normal waves in a free, transversally isotropic, elastic layer it is necessary to determine the roots of the corresponding dispersion equation. It is shown that with increasing wave number the roots move monotonically along the axis of the phase velocity. The initial and final points of the roots are found. Examples of computations of the roots are given.

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Authors
  1. L. A. Molotkov
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  2. U. Baimagambetov
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  3. N. S. Smirnova
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 99, pp. 85–103, 1980.

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Molotkov, L.A., Baimagambetov, U. & Smirnova, N.S. Investigation of the dispersion equations of a free, transversally isotropic, elastic layer. J Math Sci 20, 2448–2461 (1982). https://doi.org/10.1007/BF01087292

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  • DOI: https://doi.org/10.1007/BF01087292

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