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Propagation of unipolar strain pulses in media with hysteretic nonlinearity

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Abstract

A theoretical study of the propagation of unipolar strain pulses in a solid medium with an arbitrary power-law hysteretic nonlinearity is carried out. Exact analytical expressions are derived for describing the propagation and evolution of initially sine-shaped and triangular pulses in such media. The solutions found are analyzed both numerically and graphically.

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Authors and Affiliations

  1. Institute of Applied Physics, Russian Academy of Sciences, ul. Ul’yanova 46, Nizhni Novgorod, 603950, Russia

    V. E. Nazarov & A. V. Radostin

Authors
  1. V. E. Nazarov
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  2. A. V. Radostin
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Correspondence to V. E. Nazarov.

Additional information

Original Russian Text © V.E. Nazarov, A.V. Radostin, 2008, published in Akusticheskiĭ Zhurnal, 2008, Vol. 54, No. 6, pp. 914–919.

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Nazarov, V.E., Radostin, A.V. Propagation of unipolar strain pulses in media with hysteretic nonlinearity. Acoust. Phys. 54, 791–795 (2008). https://doi.org/10.1134/S1063771008060079

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  • DOI: https://doi.org/10.1134/S1063771008060079

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