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On the theory of biaxial orientation of amorphous polymers


The macromolecule orientation distribution function for biaxial orientation is calculated on the basis of a network model of a linear amorphous polymer. The dependence of the distribution function on the biaxial stretch ratio, orientation temperature, and certain other factors is investigated. A relation is established between the distribution function and the experimentally observed birefringence. The birefringence of biaxially oriented polymethyl methacrylate is measured in relation to the degree of deformation. The experimental data are compared with theory.

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Literature cited

  1. 1.

    B. V. Perov and M. M. Gudimov, Oriented Acrylics [in Russian], Moscow (1959).

  2. 2.

    M. M. Gudimov, V. A. Kargin, B. V. Perov, and M. V. Dumnov, Dokl. Akad. Nauk SSR,128, 715 (1959).

  3. 3.

    R. J. Roe and W. R. Krigbaum, J. Appl. Phys.,35, No. 22/5 (1964).

  4. 4.

    A. Tobolsky, Properties and Structure of Polymers, Wiley, New York (1960).

  5. 5.

    G. M. Bartenev and Yu. S. Zuev, Strength and Fracture of High-Elastic Materials [in Russian], Moscow (1964), Ch. 4.

  6. 6.

    N. I. Shishkin and M. F. Milagin, Fiz. Tverd. Tela,4, 2681 (1962).

  7. 7.

    L. R. G. Treloar, Physics of Rubber Elasticity, Oxford University Press (1949).

  8. 8.

    W. Kuhn and F. Grün, Koll.-Ztschr.,101, 248 (1942).

  9. 9.

    A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Moscow (1966).

  10. 10.

    Plastics,22 No. 240, 366–368 (1957).

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Additional information

Moscow Lenin State Pedagogical Institute, Problem Laboratory of Polymer Physics. Translated from Mekhanika Polimerov, No. 5, pp. 771–779, September–October, 1970.

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Bartenev, G.M., Valishin, A.A., Perov, B.V. et al. On the theory of biaxial orientation of amorphous polymers. Polymer Mechanics 6, 671–677 (1970).

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  • Polymer
  • Experimental Data
  • Distribution Function
  • Macromolecule
  • Network Model