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Higher-order approximations in the analysis of nonlinear cylindrical waves in a hyperelastic medium

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Abstract

The nonlinear wave equation is solved analytically in cylindrical coordinates using the third-order approximation of the Hankel function. The second-order and third-order solutions are compared. The evolution of the initial wave profile is simulated numerically for different initial frequencies

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv

    J. J. Rushchitsky & Ya. V. Simchuk

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  1. J. J. Rushchitsky
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  2. Ya. V. Simchuk
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__________

Translated from Prikladnaya Mekhanika, Vol. 43, No. 4, pp. 36–45, April 2007.

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Rushchitsky, J.J., Simchuk, Y.V. Higher-order approximations in the analysis of nonlinear cylindrical waves in a hyperelastic medium. Int Appl Mech 43, 388–394 (2007). https://doi.org/10.1007/s10778-007-0034-6

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  • DOI: https://doi.org/10.1007/s10778-007-0034-6

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