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An Approximate Method for Analysis of Solitary Waves in Nonlinear Elastic Materials

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Two types of solitary elastic waves are considered: a longitudinal plane displacement wave (longitudinal displacements along the abscissa axis of a Cartesian coordinate system) and a radial cylindrical displacement wave (displacements in the radial direction of a cylindrical coordinate system). The basic innovation is the use of nonlinear wave equations similar in form to describe these waves and the use of the same approximate method to analyze these equations. The distortion of the wave profile described by Whittaker (plane wave) or Macdonald (cylindrical wave) functions is described theoretically

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterova St., Kyiv, Ukraine, 03057

    J. J. Rushchitsky & V. N. Yurchuk

Authors
  1. J. J. Rushchitsky
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  2. V. N. Yurchuk
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Correspondence to J. J. Rushchitsky.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 52, No. 3, pp. 83–91, May–June, 2016.

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Rushchitsky, J.J., Yurchuk, V.N. An Approximate Method for Analysis of Solitary Waves in Nonlinear Elastic Materials. Int Appl Mech 52, 282–289 (2016). https://doi.org/10.1007/s10778-016-0751-9

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  • DOI: https://doi.org/10.1007/s10778-016-0751-9

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