Skip to main content
SpringerLink
Log in

Theory of viscoelastic behavior of regular polymeric networks with stable points linking four chains

  • Published:
Polymer Mechanics Aims and scope

Abstract

A regular stable network formed by flexible macromolecules connected into four functional points is considered. Each point of the network is acted on by the elastic forces from neighbors, by the force of viscous resistances, proportional to the relative velocity of the point, and by the effective force of Brownian movement. The kinetic equation is written for the network points in the case of deformation, and the moments of the second-order distribution function are calculated. The relaxation times of the system are found, and the behavior of the network in the presence of homogeneous sinusoidal deformation due to extension and shear is discussed. The complex modulus of elasticity of the network is calculated as a function of the network parameters and frequency.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature cited

  1. M. V. Vol'kenshtein, Configuration Statistics of Polymer Chains [in Russian], Moscow (1959).

  2. J. D. Ferry, Viscoelastic Properties of Polymers, Wiley (1961).

  3. P. J. Dean, Inst. Math. Appl.,3, 98 (1967).

    Google Scholar 

  4. S. Chandrasekhar, Rev. Mod. Phys.,15, 1 (1943).

    Google Scholar 

  5. Yu. Ya. Gotlib and K. M. Salikhov, Akust. Zh.,9, 301 (1963).

    Google Scholar 

  6. P. E. Rouse, J. Chem. Phys.,21, 1272 (1953).

    Google Scholar 

Download references

Authors
  1. V. N. Pokrovskii
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. A. Chubisov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Branch of the Institute of Chemical Physics, Academy of Sciences of the USSR, Moscow Region. Translated from Mekhanika Polimerov, No. 2, pp. 209–216, March–April, 1970.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pokrovskii, V.N., Chubisov, M.A. Theory of viscoelastic behavior of regular polymeric networks with stable points linking four chains. Polymer Mechanics 6, 190–195 (1970). https://doi.org/10.1007/BF00859188

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00859188

Keywords

Search

Navigation