Polymer Mechanics

, Volume 3, Issue 2, pp 139–142 | Cite as

One of the simplest means of accounting for nonlinearity in viscoelastic media

  • V. V. Moskvitin


The author examines a simple extension, to the nonlinear case, of memory-type theory based on the Boltzmann-Volterra superposition principle. It is shown that given certain assumptions the quasi-linear theory of viscoelasticity reduces to introduction into the equations of linear memory theory of a single stress- or strain-intensity function. This function is determined from creep or relaxation tests. A successive-approximation method is presented for solving problems of nonlinear viscoelasticity with the aid of the equations introduced. It is shown that in the case of simple loading the equations of the theory of small elastic-plastic deformations are an analog of the equations considered.


Superposition Principle Memory Theory Nonlinear Case Simple Extension Relaxation Test 
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  1. 1.
    A. A. Il'yushin and P. M. Ogibalov, Mekh. polim. [Polymer Mechanics], 3, 33, 1965.Google Scholar
  2. 2.
    A. A. Il'yushin, and P. M. Ogibalov, Mekh. polim. [Polymer Mechanics], 2, 170, 1966.Google Scholar
  3. 3.
    A. A. Il'yushin, Plasticity [in Russian], Moscow, 1963.Google Scholar
  4. 4.
    A. I. Staverman and F. Schwarzl, "Nonlinear deformation behavior of high polymers," Die Physik der Hochpolymeren, 4, 1956.Google Scholar
  5. 5.
    Yu. N. Rabotnov, Izv. AN SSSR, OTN, 6, 1948.Google Scholar
  6. 6.
    Yu. N. Rabotnov, PMM, 12, 1, 1948.Google Scholar
  7. 7.
    M. I. Rozovskii, Vychislit. matematika i mat. fizika, 2, 1, 1962.Google Scholar
  8. 8.
    A. A. Il'yushin and I. I. Pospelov, Inzh. zhurn., 4, 4, 1964.Google Scholar
  9. 9.
    M. I. Rozovskii, ZhTF, 25, 13, 1955.Google Scholar

Copyright information

© Consultants Bureau 1971

Authors and Affiliations

  • V. V. Moskvitin
    • 1
  1. 1.Moscow State UniversityUSSR

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