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Shock-wave propagation in an elastic rod with a viscoplastic external resistance

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Abstract

The wave problem of perturbation propagation along an elastic rod interacting with the medium is investigated using the model of viscoplastic friction. An exact solution of the problem is obtained for an arbitrary time of the loading period. Analysis of the results is performed.

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References

  1. L. V. Nikitin, “Dynamics of Elastic Rods with External Dry Friction,” Usp. Mekh. 11(4), 53–106 (1988).

    MathSciNet  Google Scholar 

  2. L. V. Nikitin, Statics and Dynamics of Solids with External Dry Friction (Mosk. Litsei, Moscow, 1998) [in Russian].

    Google Scholar 

  3. K. S. Sultanov, “Numerical Solution of the Problem of Wave Propagation in a Viscoelastic Rod with External Friction,” Izv. Akad, Nauk SSSR, Mekh. Tverd. Tela, No. 6, 92–101 (1991).

    Google Scholar 

  4. V. D. Kurguzov and Yu V. Nemirovskii, “Simulation of Pile Driving and Extracting from the Ground,” Izv. Izv. Vyssh. Uchebn. Zaved., Stroit., No. 7, 82–90 (2011).

    Google Scholar 

  5. V. D. Kurguzov and Yu. V. Nemirovskii, “Mathematical Model for the Dynamic Extraction of a Rigid-Plastic Metal Composite Fiber,” Izv. Alt. Gos. Univ., Ser. Mat. Mekh. 73(1/1), 69–71 (2012).

    Google Scholar 

  6. M. Reiner, “Rheology,” in Handbuch der Phizik, No. VI: Elastizität und Plastizität (Springer-Verlag, Berlin, 1958).

    Google Scholar 

  7. V. A. Ditkin and A. P. Prudnikov, Handbook of Operational Calculus (Vysshaya Shkola, Moscow, 1965) [in Russian].

    Google Scholar 

  8. A. P. Prudnikov, Yu A. Brychkov, and O. I. Marichev, Integrals and Series. Special Functions (Nauka, Moscow 1983) [in Russian].

    MATH  Google Scholar 

  9. I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series and Products (Fizmatgiz, Moscow, 1963).

    Google Scholar 

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Authors and Affiliations

  1. Podstrigach Ivano-Frankovsk Department of the Institute of Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Ivano-Frankivsk, 76002, Ukraine

    I. P. Shatskii & V. V. Perepichka

Authors
  1. I. P. Shatskii
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  2. V. V. Perepichka
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Corresponding author

Correspondence to V. V. Perepichka.

Additional information

Original Russian Text © I.P. Shatskii, V.V. Perepichka.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 54, No. 6, pp. 175–180, November–December, 2013.

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Shatskii, I.P., Perepichka, V.V. Shock-wave propagation in an elastic rod with a viscoplastic external resistance. J Appl Mech Tech Phy 54, 1016–1020 (2013). https://doi.org/10.1134/S0021894413060163

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  • DOI: https://doi.org/10.1134/S0021894413060163

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