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On the use of fractional differentiation operators for the description of elastic-after effect properties of materials

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Journal of Applied Mechanics and Technical Physics Aims and scope

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References

  1. Yu. N. Rabotnov, “Equilibrium of an elastic medium with a lag,” PMM, vol. 12, no. 1, 1948.

  2. M. I. Rozovskii, “Some problems in the theory of nonsteady creep,” Izv. AN ArmSSR, Ser. fiz.-mat. nauk, vol. 14, no. 3, 1961.

  3. M. I. Rozovskii and I. I. Krush, “Forced oscillations of systems with elastic lag,” Izv. AN SSSR, Mekhanika i mashinostroenie, no. 1, 1964.

  4. T. D. Shermergor and I. K. Meshkov, “Elastic friction during torsional oscillations,” Fiz. metallov i metallovedenie, vol. 13, no. 6, 1962.

  5. S. I. Meshkov and T. D. Shermergor, “Temperature dependence of internal friction for a torsional pendulum,” PMTF, no. 6, 1962.

  6. V. A. Kargin and G. L. Slonimskii, Brief Topics in Physical Chemistry and Polymers [in Russian], Izd. MGU, 1960.

  7. G. Schoeck, E. Bisogni, and J. Shyne, “The activation energy of high temperature internal friction,” Acta Metallurgica, vol. 12, 1964.

  8. S. I. Meshkov, G. N. Pachevskaya, and T. D. Shermergor, “Description of internal friction with the aid of fractional exponential kernels,” PMTF [Journal of Applied Mechanics and Technical Physics], no. 3, 1966.

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

  10. T. D. Shermergor, “Calculation of the distribution function for the relaxation constants with respect to the variance of the real part of the complex elasticity for elastico-viscous bodies,” Fizika, no. l, 1961.

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Authors and Affiliations

  1. Moscow

    T. D. Shermergor

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  1. T. D. Shermergor
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Shermergor, T.D. On the use of fractional differentiation operators for the description of elastic-after effect properties of materials. J Appl Mech Tech Phys 7, 85–87 (1966). https://doi.org/10.1007/BF00914347

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  • DOI: https://doi.org/10.1007/BF00914347

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