Skip to main content
SpringerLink
Log in

Statistical interpretation of rheological equations

  • Published:
Polymer Mechanics Aims and scope

Abstract

The author examines one of the forms of elementary micromechanisms of formation of irreversible or high-elastic strains due to bending of the polymer chains with restricted internal rotation. He describes a method for the statistical calculation of the elementary micromechanisms that develop under the influence of temperature fluctuations, stress, stress rate, and mean hydrostatic pressure and together constitute the measured macrostrain. The use of the concept of asymmetric media and the introduction of a coefficient of asymmetry, of the structural mechanical state make possible the refinement of the mathematical model of a polymer material and, in particular, permit not only a phenomenological but also a physical statistical treatment of the know Maxwell, Kelvin and Maxwell-Thomson rheological equations.

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

References

  1. V. L. Kargin and G. L. Slonimskii, Brief Outline of the Physics and Chemistry of Polymers [in Russian], Moscow, 1960.

  2. M. V. Vol'kenstein, Configurational Statistics of Polymer Chains [in Russian], Moscow-Leningrad, 1959.

  3. A. K. Malmeister, in: Problems of Dynamics and Dynamic Strength, 1 [in Russian], 22, Riga, 1953.

    Google Scholar 

  4. A. K. Malmeister, Elasticity and Inelasticity of Concrete [in Russian], Riga, 1957.

  5. A. V. Shubnikov, The Problem of Asymmetry of Material Objects [in Russian], Moscow, 1961.

  6. A. Yu. Ishlinskii, DAN1, 26, 1940, PMM, 4, 1940.

    Google Scholar 

  7. A. R. Rzhanitsin, Some Problems of the Mechanics of Systems that Deform with Time [in Russian], Moscow, 1949.

  8. A. P. Aleksandrov, Proc. 1st and 2nd Conf. on High-Molecular Compounds [in Russian], Moscow, 49, 1945.

  9. G. I. Gurevich, ZhTF,17, 1491, 1947.

    Google Scholar 

  10. S. N. Zhurkov and B. N. Narzulaev, ZhTF,23, 1677, 1953.

    Google Scholar 

  11. A. A. Askadskii and G. L. Slonimskii, Mekh. polim. [Polymer Mechanics],4, 89, 1965.

    Google Scholar 

  12. A. K. Malmeister, in: Problems of Dynamics and Dynamic Strength, 4 [in Russian], Riga, 21, 1956.

    Google Scholar 

  13. S. B. Ainbinder, M. G. Laka, and I. Yu. Maiors, Mekh. polim. [Polymer Mechanics],1, 65, 1965.

    Google Scholar 

  14. J. Ferry, Viscoelastic Properties of Polymers [Russian translation], Moscow, 1963.

  15. A. K. Malmeister, Mekh. polim. [Polymer Mechanics], 4, 12, 1965.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Polymer Mechanics As Latv SSR, Riga

    A. K. Malmeister

Authors
  1. A. K. Malmeister
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Mekhanika Polimerov, Vol. 2, No. 2, pp. 197–213, 1966

Rights and permissions

Reprints and permissions

About this article

Cite this article

Malmeister, A.K. Statistical interpretation of rheological equations. Polymer Mechanics 2, 125–133 (1966). https://doi.org/10.1007/BF00867098

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00867098

Keywords

Search

Navigation