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Vibrational heating of a nonlinearly viscoelastic rod interacting with a viscoelastic element

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Literature Cited

  1. 1.

    S. S. Volkov and B. Ya. Chernyak, Welding of Plastics with Ultrasound [in Russian], Khimiya, Moscow (1986).

  2. 2.

    Ya. M. Grigorenko, E. I. Bespalova, A. T. Vasilenko, et al., Numerical Solution of Boundary-Value Problems of the Statics of Orthotropic Shells of Revolution on an M-220 Computer [in Russian], Naukova Dumka, Kiev (1971).

  3. 3.

    V. A. Kuz'menko, Sonic and Ultrasonic Vibrations in Dynamic Tests of Materials [in Russian], Izd. Akad. Nauk UkrSSR, Kiev (1963).

  4. 4.

    A. N. Piven', N. A. Grechanay, and I. I. Chernobyl'skii, Thermophysical Properties of Polymers [in Russian], Vysshaya Shkola, Kiev (1976).

  5. 5.

    I. K. Senchenkov, O. V. Tarasenko, B. Ya. Chernyak, et al., “Problem of acoustic contact during the ultrasonic welding of plastics,” Prikl. Mekh.,23, No. 2, 60–67 (1987).

  6. 6.

    V. N. Poturaev, V. I. Dyrda, V. G. Karnaukhov, et al., in: Thermomechanics of Elastomer Structural Elements Under Cyclic Loading [in Russian], V. N. Poturaev (ed.), Naukova Dumka, Kiev (1987).

  7. 7.

    Yu. P. Yanovskii and G. V. Vinogradov, “Dynamic properties of polymers in the fluid state,” Mekh. Polim., No. 4, 106–116 (1965).

  8. 8.

    J. M. Liefshitz and H. Kolsky, “Propagation of spherically divergent stress pulses in linear viscoelastic solids,” J. Mech. Phys. Solids,13, No. 6, 361–376 (1965).

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Additional information

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 27, No. 5, pp. 95–102, May, 1991.

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Senchenkov, I.K. Vibrational heating of a nonlinearly viscoelastic rod interacting with a viscoelastic element. Soviet Applied Mechanics 27, 512–519 (1991). https://doi.org/10.1007/BF00887778

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  • Viscoelastic Element
  • Vibrational Heating