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Phenomenological model of the scale effect of the strength of polymer fibers

  • Physicomechanical Properties And Use Of Chemical Fibers
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Fibre Chemistry Aims and scope

Abstract

A new derivation of the scale effect equation for polymer fibers is proposed. The equation is: σ ∼ σAL −β, where σ is the average strength of the fiber; L is the length of the fiber; A and β are coefficients. The equation was obtained from the general premises of scale effect theory without indication of the concrete form of the probability function F(S).

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References

  1. F. T. S. Pierce, J. Text. Inst., 17, 355 (1926).

    Google Scholar 

  2. Zav. Lab., 26, 319, 1104 (1960); 27, 318 (1961).

  3. B. B. Chechulin, The Scale Factor and Statistical Nature of the Strength of Metals [in Russian], Mashgiz, Moscow (1963), p. 203.

    Google Scholar 

  4. R. E. Pitt and S. L. Phoenix, Text. Res. J., 51, 408 (1981).

    Google Scholar 

  5. H. E. Daniels, Proc. Roy. Soc., 183A, 405 (1945).

    Google Scholar 

  6. G. Korten, in: Modern Composite Materials, Addison-Wesley, Reading, Massachusetts (1967) [Russian translation], Mir, Moscow (1970), pp. 130–141].

    Google Scholar 

  7. B. Rosen, in: Fibrous Composite Materials [Russian translation], Mir, Moscow (1967), pp. 55–96.

    Google Scholar 

  8. W. Weibull, J. Appl. Mech., 18, 293 (1951).

    Google Scholar 

  9. V. P. Tamuzh and V. S. Kuksenko, Micromechanism of Failure of Polymeric Materials [in Russian], Zinatne, Riga (1978).

    Google Scholar 

  10. V. A. Petrov and A. V. Savitskii, Dokl. Akad. Nauk, 224, 806–809 (1975).

    Google Scholar 

  11. A. V. Savitskii, B. Ya. Levin, I. A. Gorshkova, and G. N. Smikk, Mekh. Polim., No. 5, 925–931 (1977).

  12. W. F. Knoff, J. Mater. Sci., 22, 1024–1030 (1977).

    Google Scholar 

  13. Ya.I. Frenkel', Introduction to the Theory of Metals [in Russian], Nauka, Leningrad (1972).

    Google Scholar 

  14. B. Wunderlich, Physics of Macromolecules [Russian translation], Mir, Moscow (1979).

    Google Scholar 

  15. A. N. Orlov, Introduction to the Theory of Defects in Crystals [in Russian], Vysshaya Shkola, Moscow (1983).

    Google Scholar 

  16. Fibrous Composite Materials [Russian translation], Mir, Moscow (1967).

  17. M. A. Evgrafov, Asymptotic Estimations and Entire Functions [in Russian], Nauka, Moscow (1979).

    Google Scholar 

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Additional information

Ukrainian Scientific-Research Institute of Polymer Fibers, Kiev. Translated from Khimicheskie Volokna, No. 4, pp. 34–36, July–August, 1992.

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Nosov, M.P., Zabashta, Y.F. Phenomenological model of the scale effect of the strength of polymer fibers. Fibre Chem 24, 291–295 (1993). https://doi.org/10.1007/BF00550855

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  • DOI: https://doi.org/10.1007/BF00550855

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