Mechanics of Composite Materials

, Volume 49, Issue 3, pp 311–316 | Cite as

Optimization of fractional composition of the filler of elastomer composites

  • A. S. Ermilov
  • E. M. Nurullaev

A method is developed for calculating the optimum fractional composition of an initial disperse filler of polymer compositions that significantly affects the initial viscoelastic modulus and the fracture energy of three-dimensionally cross-linked elastomer composites. For a particular composite, the practical efficiency and usefulness of the proposed method using the triangular Gibbs diagram of “composition–property” have been verified experimentally.


elastomer optimization fractional composition filler 


  1. 1.
    A. S. Ermilov and E. M. Nurullaev, “Mechanical properties of elastomers filled with solid particles,” Mech. Compos. Mater., 48, No. 3, 243–252 (2012).CrossRefGoogle Scholar
  2. 2.
    T. L. Smith, “Ultimate tensile properties of elastomers,” J. Appl. Phys., 35, 27–34 (1964).CrossRefGoogle Scholar
  3. 3.
    A. S. Ermilov and E. M. Nurullaev, “Concentration dependence of strengthening rubbers and resins with disperse fillers,” Zh. Prikl. Khim., 85, Iss. 8, 1371–1374 (2012).Google Scholar
  4. 4.
    A. S. Yermilov and A. M. Fedoseyev, “Combinatorial-multiplicative method for calculating the limiting filling of composites with solid dispersed components,” Zh. Prikl. Khim., 77, Iss. 7, 1218–1220 (2004).Google Scholar
  5. 5.
    G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers, McGraw–Hill Book Company, New York–San Francisco–Toronto–London–Sydney (1968).Google Scholar
  6. 6.
    D. M. Himmelblau, Applied Nonlinear Programming, McGraw-Hill Book Company, Texas (1972).Google Scholar
  7. 7.
    P. Gill, W. Murray, and M. Right, Practical Optimization [Russian translation], Mir, Moscow (1985).Google Scholar
  8. 8.
    Hamdy A. Taha, Operations Research: An Introduction [Russian translation], Publ. House “Williams,” Moscow (2005).Google Scholar
  9. 9.
    A. S. Yermilov, E. M. Nurullaev, and K. A. Duregin, Software for Determination and Optimization of Packing Density of Solid Disperse Fillers of Polymer Composite Materials (Rheology), Certificate on official registration of the computer program 2012613349 Russian Federations; No. 2012610880, decl. 14.02.2012, regist. 09.04.2012. ROSPATENT.Google Scholar
  10. 10.
    S. L. Akhnazarova and V. V. Kafarov, Optimization Methods of Experiments in Chemical Technology [in Russian], Vysshaya Shkola, Moscow (1985).Google Scholar
  11. 11.
    L. E. Nielsen, Mechanical Properties of Polymers and Composites, Marcel Dekker, Inc., New York (1974).Google Scholar
  12. 12.
    V. A. Valtsifer, V. N. Alikin, and A. S. Yermilov, “Analysis of microdeformation in composites with disperse components,” Mekh. Kompoz. Mater., No. 5, 934-935 (1987).Google Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Perm’ State Technical UniversityMoscowRussia

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