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Initial stage of motion in the Lavrent’ev–Ishlinskii problem on longitudinal shock on a rod

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Abstract

The transverse motion of a thin rod under a sudden application of a prolonged longitudinal load at the initial stage of motion is considered. The introduction of self-similar variables makes it possible to propose a description of the transverse motion weakly dependent on the longitudinal deformation. Both single dents and periodic systems of dents are considered.

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Authors and Affiliations

  1. St. Petersburg State University, Universitetskii pr. 28, Staryi Peterhof, St. Petersburg, 198504, Russia

    N. F. Morozov & P. E. Tovstik

  2. Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Vasil’evskii ostrov, Bol’shoi pr. 61, St. Petersburg, 199178, Russia

    A. K. Belyaev & T. P. Tovstik

Authors
  1. N. F. Morozov
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  2. A. K. Belyaev
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  3. P. E. Tovstik
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  4. T. P. Tovstik
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Corresponding author

Correspondence to T. P. Tovstik.

Additional information

Original Russian Text © N.F. Morozov, A.K. Belyaev, P.E. Tovstik, T.P. Tovstik, 2015, published in Doklady Akademii Nauk, 2015, Vol. 465, No. 3, pp. 302–306.

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Morozov, N.F., Belyaev, A.K., Tovstik, P.E. et al. Initial stage of motion in the Lavrent’ev–Ishlinskii problem on longitudinal shock on a rod. Dokl. Phys. 60, 519–523 (2015). https://doi.org/10.1134/S1028335815110129

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  • DOI: https://doi.org/10.1134/S1028335815110129

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