Phase Transition between Matrix and Inclusions in Polymeric Composites


The influence of boundary layer on the coefficient of adhesion between fibers and matrix in polymer composites was investigated. A multilayer model was introduced consisting of the two main-phases of the composite, that is the elastic inclusion and the viscoelastic matrix and a third intermediate phase consisting of a series of cylindrical layers of mechanical and physical properties varying between the limit values of the matrix and inclusion. The extent of the interlayer between main phases may be determined from the overall properties of the composite and the matrix. The model proved to be very flexible and describes conveniently the behaviour of the material. Moreover, the model allowed the definition of an adhesion coefficient, convenient to describe the quality of adhesion of the component materials and the introduction of an improved expression for the law of mixtures in polymeric composites.

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  1. 1.

    Y.S. Lipatov, Physical Chemistry of Filled Polymers, Originally published “Khimiya” (Moscow, 1977). Translated from the Russian by R.J. Moseley, International Polymer Science and Technology, Monograph No.2.

  2. 2.

    P.S. Theocaris and E. Marketos, Fibre Science Techn. 3, 21 (1970).

    CAS  Article  Google Scholar 

  3. 3.

    P.S. Theocaris and S.A. Paipetis, J. Strain Analysis 8, 286 (1973).

    CAS  Article  Google Scholar 

  4. 4.

    P.S. Theocaris and S.A. Paipetis, Fibre Science Techn. 9, 19 (1976).

    Article  Google Scholar 

  5. 5.

    P.S. Theocaris and S.A. Paipetis, Int. J. Mech. Sci. 18, 581 (1976).

    Article  Google Scholar 

  6. 6.

    I.N. Frantsevich and D. Karpinos, Fibrous Composites, Translated from Russian, Israel Program for Scientific Translations (Jerusalem 1972).

  7. 7.

    G.C. Papanicolaou, S.A. Paipetis and P.S. Theocaris, Colloid and Polymer Sci. 256, 625 (1978).

    CAS  Article  Google Scholar 

  8. 8.

    G.C. Papanicolaou, P.S. Theocaris and G.D. Spathis, Colloid and Polymer Sci. 258, 1231 (1980).

    CAS  Article  Google Scholar 

  9. 9.

    P.S. Theocaris, G.C. Papanicolaou and E.P. Siderides, Jnl. Reinforced Plastics and Comp. 1, 92 (1982).

    CAS  Article  Google Scholar 

  10. 10.

    F.A. McClintock, J. Appl. Mech. 35, 363 (1968).

    Article  Google Scholar 

  11. 11.

    V. Tvergaard, Int. J. Fracture 17, 389 (1981)

    Article  Google Scholar 

  12. 12.

    P.S. Theocaris, Proc. Nat. Acad. Sci. (Athens, Greece) 58, 347 (1983).

    Google Scholar 

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Correspondence to P. S. Theocaris.

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Theocaris, P.S. Phase Transition between Matrix and Inclusions in Polymeric Composites. MRS Online Proceedings Library 21, 847–857 (1983).

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