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Nonlinear theory of viscoelasticity with symmetrical influence functions

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Abstract

The characteristic equations of a physically nonlinear viscoelastic medium are investigated. A fairly simple theory of nonlinear viscoelasticity with symmetrical influence functions is constructed. This has potential applications in relation to the determination of the strength of structural elements made of materials with rheonomic properties.

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References

  1. 1.

    M. M. Soldatov, Mekh. polim. [Polymer Mechanics], 4, 498, 1966.

  2. 2.

    M. M. Soldatov, Some Fundamental Problems of the Physically Nonlinear Theory of Viscoelasticity, Dissertation, Moscow, 1967.

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    A. A. Il'yushin and P. M. Ogibalov, Mekh. polim. [Polymer Mechanics], 2, 170, 1966.

  4. 4.

    V. Volterra, Theory of Functionals and of Integral and Integro-differential Equations, London-Glasgow, 1931.

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Additional information

Mekhanika Polimerov, Vol. 3, No. 5, pp. 921–926, 1967

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Soldatov, M.M. Nonlinear theory of viscoelasticity with symmetrical influence functions. Polymer Mechanics 3, 608–611 (1967). https://doi.org/10.1007/BF00859253

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Keywords

  • Potential Application
  • Characteristic Equation
  • Simple Theory
  • Nonlinear Theory
  • Influence Function