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One model of a nonlinear viscoelastic medium, taking into account the influence of accumulated damage

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Abstract

We have proposed extremely simple equations for the state of a nonlinear viscoelastic medium of the inherent type, containing the scalar function of the accumulated damage as one of the decisive parameters. The equations take into account the influence of the type of stress pattern; they also contain the long-term strength condition. Equations of this type permit determination of the stress and deformation patterns developing immediately before failure, which is very important for experimental verification of the theory of long-term strength. The proposed model also takes into account the aging of the material.

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Literature cited

  1. 1.

    V. V. Moskvitin, Problemy Prochnosti, No. 2 (1971).

  2. 2.

    A. A. Il'yushin and B. E. Pobedrya, Principles of the Mathematical Theory of Thermal Viscoelasticity [in Russian], Moscow (1970).

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Additional information

M. V. Lomonosov Moscow State University. Translated from Mekhanika Polimerov, Vol. 8, No. 2, pp. 241–246, March–April, 1972.

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Moskvitin, V.V. One model of a nonlinear viscoelastic medium, taking into account the influence of accumulated damage. Polymer Mechanics 8, 216–220 (1972). https://doi.org/10.1007/BF00855971

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Keywords

  • Scalar Function
  • Experimental Verification
  • Simple Equation
  • Strength Condition
  • Stress Pattern