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Dynamic torsion of viscoelastic cylindrical rods

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Abstract

An exact solution of the problem of the propagation of torsional waves in semiinfinite and finite circular cylinders is obtained within the framework of the linear theory of viscoelasticity. Concrete examples are discussed, and estimates are given for the stresses near the wave front. All the solutions are obtained in series; it is shown that these series converge absolutely for any finite time.

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Literature cited

  1. 1.

    V. V. Novozhilov and V. I. Utesheva, “Dynamic torsion of a semi-infinite cylinder” Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 1 (1967).

  2. 2.

    K. S. Valanis, “Wave propagation in a viscoelastic solid with measured relaxation or creep functions” in: Proceedings of the Fourth International Congress on Rheology (1963).

  3. 3.

    K. S. Valanis and S. Chang, “Stress wave propagation in a finite viscoelastic thin rod with a constitutive law of the hereditary type” Dev. Theor. Appl. Mech. (1966).

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Additional information

M. V. Lomonosov Moscow State University. Translated from Mekhanika Polimerov, No. 3, pp. 482–492, May–June, 1975.

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Kiiko, I.A., Il'yasov, M.K. Dynamic torsion of viscoelastic cylindrical rods. Polymer Mechanics 11, 408–417 (1975). https://doi.org/10.1007/BF00863990

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Keywords

  • Exact Solution
  • Wave Front
  • Circular Cylinder
  • Linear Theory
  • Finite Time