Skip to main content
SpringerLink
Log in

Application of the Fractal Approach to Determination of the Poisson Coefficient of Polymeric Systems

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

Within the framework of the combination of the classical elasticity theory with the concepts of the scale invariance of the polymer structure, the dependence of the Poisson coefficient on the dimension of the fractal cluster has been found. It has been shown that the Poisson coefficient of polymers is related to the value of relative deformation. The range of permissible values of the fractal dimension of materials for the cases of uniaxial tension and compression has been determined.

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. G. M. Bartenev and S. Ya. Frenkel’, Physics of Polymers[in Russian], Leningrad (1990).

  2. B. S. Kolupaev, Yu. S. Lipatov, V. I. Nikitchuk, N. A. Bordyuk, and O. M. Voloshin, Dokl. Akad. Nauk Ukrainy, No. 12, 130-134 (1993).

  3. B. M. Smirnov, Physics of Fractal Clusters[in Russian], Moscow (1991).

  4. A. A. Berlin, L. Rotenburg, and R. Bosaert, Vysokomolek. Soed. A, 34, No. 1, 6-32 (1992).

    Google Scholar 

  5. L. D. Landau and E. M. Lifshits, Elasticity Theory[in Russian], Moscow (1987).

  6. G. M. Bartenev and V. P. Nikiforov, Mekh. Polim., No. 3, 840-845 (1971).

  7. A. S. Balankin, Synergetics of a Deformable Body[in Russian], Pt. 1, Moscow (1991).

  8. A. S. Balankin and A. L. Bugrimov, Vysokomolek. Soed. A, 34, No. 10, 135-139 (1992).

    Google Scholar 

  9. L. D. Landau and E. M. Lifshits, Statistical Physics[in Russian], Pt. 1, Moscow (1976).

  10. I. Ya. Dzene, A. F. Cregers, and U. K. Vilks, Mekh. Polim., No. 3, 399-404 (1974).

  11. V. Yu. Barinov, Mekh. Kompozit. Mater., No. 6, 939-941 (1982).

  12. B. S. Kolupaev, Relaxation and Thermal Properties of Filled Polymer Systems[in Russian], L’vov (1980).

  13. A. A. Askadskii, Deformation of Polymers[in Russian], Moscow (1973).

  14. V. Yu. Barinov, Mekh. Kompozit. Mater., No. 6, 1112-1114 (1986).

  15. L. Pietronero and E. Tosatti (eds.), Proc. VI Int. Symp. "Fractals in Physics"[Russian translation], Moscow (1988).

Download references

Author information

Authors and Affiliations

  1. Rovno State Humanities University, Rovno, Ukraine

    V. A. Sidletskii

  2. T. G. Shevchenko Kiev National University, Kiev, Ukraine

    B. B. Kolupaev

Authors
  1. V. A. Sidletskii
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. B. Kolupaev
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sidletskii, V.A., Kolupaev, B.B. Application of the Fractal Approach to Determination of the Poisson Coefficient of Polymeric Systems. Journal of Engineering Physics and Thermophysics 76, 937–941 (2003). https://doi.org/10.1023/A:1025635112843

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1025635112843

Keywords

Search

Navigation