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Vibrational creep of polymer materials

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Abstract

In the mechanics of deformed solids it is usually assumed that superposing small amplitude vibrations on a static load has no effect on the over-all characteristics of a material under strain. This hypothesis is reflected in the fact that the existing equations of state for the case of static loads with superposed small vibrations give deformation characteristics which differ little from the corresponding parameters of deformation processes taking place in the absence of excitations. At the same time, substantial changes in the deformation characteristics of a number of materials are observed under certain conditions after the application of alternating stresses of small amplitude. Reports on studies of creep of metals [1, 2], elastomers [3], and concrete [4] have been published, in which the fatigue curves obtained with small vibrations superposed on static loads lie above curves obtained for static loads corresponding to the maximum pulsating load level. Attempts have been made to explain this effect from the standpoint of the molecular-kinetic [3] and phenomenological [5] theories. Certain theoretical considerations and experimental data, discussed in this article, show that superposing a small dynamic component on a static load leads to an increase in the rate of creep of several polymer materials. This effect, which is due mainly to an increase in the polymer temperature as a result of dissipation of vibrational energy, differs from the “vibration effect” observed on elastomers by Slonimskii and Alekseev [3], in which the temperature rise due to the heat generated by vibrations plays no substantial part.

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References

  1. 1.

    A. J. Kennedy, Effect of fatigue stresses on creep and recovery, Proc. Internat. Conf. Fatigue Metals, London-New York, p. 401, 1956.

  2. 2.

    Travaux du Comité pour l'étude du fluage des métaux aux températures ordinaires, Compt. rend, rech. J. R. S. J. A., no. 24, 1960.

  3. 3.

    G. L. Slonimskii and P. I. Alekseev, “A study of the effect of vibration on relaxation phenomena in rubber,” DAN SSSR, vol. 106, no. 6, p. 1053, 1956.

  4. 4.

    A. K. Malmeister, Elasticity and Anelasticity of Concrete [in Russian], Izd. AN Latv. SSR, Riga, 1957.

  5. 5.

    S. A. Shesterikov, “Uniaxial creep under alternating stresses, “ Izv. AN SSSR, OTN, Mekhanika i Mashinostroenie, no. 2, p. 148, 1961.

  6. 6.

    S. B. Rattier and V. I. Korobov, “Spontaneous heating of polymers during repeated deformation,” DAN SSSR, vol. 161, no. 4, 1965.

  7. 7.

    J. D. Ferry, Viscoelastic Properties of Polymers [Russian translation], Izd. inostr. lit., 1963.

  8. 8.

    A. Tobol'skii, Properties and Structure of Polymers [in Russian], Izd. “Khimiya,” 1964.

  9. 9.

    D. A. Frank-Kamenetskii, Diffusion and Heat Transfer in Chemical Kinetics [in Russian], Izd. AN SSSR, 1947.

  10. 10.

    I. M. Gel'fand, “Some problems in the theory of quasilinear equations”, Uspekhi matem. nauk, vol. 14, no. 2, 1959.

  11. 11.

    V. V. Barzykin and A. G. Merzhanov, “Boundary problems in the theory of thermal explosion,” DAN SSSR, vol. 120, no. 6, 1948.

  12. 12.

    A. G. Istratov and V. B. Librovich, “Stability of solutions in the steadystate theory of thermal explosion,” PMM, vol. 27, no. 2, 1963.

  13. 13.

    S. N. Zhurkov and T. N. Sanfirova, “Temperature dependence of the strength of pure metals,” DAN SSSR, vol. 101, no. 2, 1955.

  14. 14.

    S. N. Zhurkov and T. N. Sanfirova, “Relationship between the strength and creep properties of metals,” Zh. tekhn. fiz., vol. 28, no. 8, 1958.

  15. 15.

    O. D. Sherby and J. E. Dorn, Anelastic creep of polymethyl methacrylate, Journ. Mech. Phys. Solids, vol. 6, no. 2, p. 145, 1958.

  16. 16.

    T. Hideshima, The apparent second-order transition of high polymers with special emphasis on its manifestation in the mechanical properties, Progr. Theor. Phys., supplement 10, p. 174, 1959.

  17. 17.

    V. A. Kargin and T. I. Sogolova, “Deformation of crystalline polymers in a wide temperature interval,” DAN SSSR, vol. 88, no. 5, p. 867, 1953.

  18. 18.

    G. I. Barenblatt, “Propagation of the neck in tensile polymer test pieces,” PMM, vol. 28, no. 6, p. 1048, 1964.

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Additional information

The authors thank V. A. Volodchenkova, N. I. Gal'china, Yu. S. Levshina, Yu. P. Maksimacheva, and V. V. Tikhomirova who participated in the experimental work.

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Barenblatt, G.I., Kozyrev, Y.I., Malinin, N.I. et al. Vibrational creep of polymer materials. J Appl Mech Tech Phys 6, 44–48 (1965). https://doi.org/10.1007/BF00913381

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Keywords

  • Polymer
  • Fatigue
  • Static Load
  • Temperature Rise
  • Polymer Material