Skip to main content
SpringerLink
Log in

Estimates of the Elastic Characteristics of a Composite with Short Anisotropic Fibers

  • Published:
Mechanics of Composite Materials Aims and scope

A composite with chaotically oriented fibers with different elongations and different anisotropy of elastic characteristics is considered. A mathematical model of interaction of such fibers and matrix particles with an isotropic elastic medium whose elastic moduli have to be found as required characteristics of the composite is constructed. The relations derived by the self-consistency method determine the moduli of the composite as functions of the volume concentration, elongations, and elastic properties of each type of fibers, and also of the elastic characteristics of the isotropic matrix. A quantitative analysis of the mathematical model is carried out, and boundaries of the domains of determining parameters within which the effect of fiber elongation is considerable are found. The relations presented allow one to estimate the elastic characteristics of a composite reinforced with various types of short fibers (in particular, high-strength and high-modulus needle-shaped and thread-like crystals, and nanostructural elements).

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

Fig. 1.

Similar content being viewed by others

References

  1. Composite Materials. Handbook [in Russian], ed. D. M. Karpinos, Kiev: Nauk. dumka, 1985, 592.

  2. Handbook on Composite Materials, ed. J. Lubin, [translated from English], vol. 2, M., Mashinostroenie, 1988, 584.

  3. Composite Materials, Handbook [in Russian], V. V. Vasiljev, V. D. Protasov, V. V. Bolotin, et. al, eds. V. V. Vasilyeva and Yu. M. Tarnopol’skii, M., Mashinostroenie, 1990, 512.

  4. M. A. Komkov and V. A. Trasov, Technology of Composite Constructions of Rockets and Weapons of Destruction [in Russian], M., Izd. MGTU, 2011, 432.

  5. V. A. Kalinchev and D. A.Yagodnikov, Production Technology of Rocket Engines Operating on Solid Fuel [in Russian], M., Izd. MGTU, 2011, 688.

  6. T. D. Shermergor, Elasticity Theory of Microheterogeneous Media [in Russian], M., Nauka, 1977, 400.

  7. Mechanics of Composite Materials, ed. G. Sendeckyj [translated from English], M., Mir, 1978, 564.

  8. R. V. Christensen, Mechanics of Composite Matrials, John Wiley & Sons, New York–Chichester–Brisbane–Toronto (1979).

    Google Scholar 

  9. G. A. Vanin, Micromechanics of Composite Materials [in Russian], Kiev, Nauk. Dumka, 1985 302.

  10. L. P. Khoroshun, “Mathematical models and methods of the mechanics stochastic composite materials,” Prikl. Mekh., 36, No. 10, 30-62 (2000).

    Google Scholar 

  11. E. A. Kats, Fullerenns, Carbon Nanotubes, and Nanoclasters, Family Tree of Forms and Ideas [in Russian], M., Izd. LKI, 2008, 296.

  12. O. P. Kormilitsyn, Mechanics of Materials and Structures of Nano- and Microtechnics [in Russian], M., Izd. Tsentr. “Academia”, 2008, 224.

  13. J. Eshelby, Continual Theory of Dislocations [translated from English], M., Izd. Inostr. Lit., 1963, 248.

  14. V. S. Zarubin, Applied Problems of the Thermal Strength of Structural Elements [in Russian], M., Mashinostroenie, 1985, 296.

  15. V. S. Zarubin, G. N. Kuvyrkin, and I. Yu. Savelyeva, “Evaluation of the linear thermal expansion coefficient of a composite with disperse anisotropic inclusions by the self-consistancy method,” Mech. Compos. Mater., 52, No. 2, 209-224 (2016).

    Article  Google Scholar 

  16. V. S. Zarubin, G. N. Kuvyrkin, and I. Yu. Savelyeva, “Comparative analysis of estimates for the elastic moduli of composites. Isotropic spherical inclusions,” Vest. MGTU, Ser. Mashinostroenie, No. 5, 53-69 (2014).

  17. Yu. I. Dimitrienko, Tenzor Calculations [in Russian], M., Vyssh. Shk., 2001, 576.

  18. V. S. Zarubin and G. N. Kuvyrkin, Mathematical Models of the Mechanics and Electrodynamics of Continuous Media [in Russian], M., Izd. MGTU, 2008, 512.

  19. N. N. Golovin, V. S. Zarubin, and G. N. Kuvyrkin, “Mixture models of the mechanics of composites. Part 1. Thermomechanics and thermoelasticity of multicomponent mixtures,” Vest. MGTU, Ser. Estestv. Nauki, No. 3, 36-49 (2009).

  20. R. Hill, “A self-consistent mechanics of composite materials,” J. Mech. Phys. Solids, 13, No. 4. 213-222 (1965).

    Article  Google Scholar 

  21. V. S. Zarubin, G. N. Kuvyrkin, and I. Yu. Savelyeva, “Estimates for the elastic moduli of a composite with lamellar inclusions,” Izv. Vuzov, Mashinostroenie, No. 11, 3-12 (2015).

  22. I. N. Frantsevich, F. F. Voronov, and S. A. Bakuta, Elastic Constants and Moduli of Metals and Nonmetals. Handbook [in Russian], Kiev, Nauk. Dumka, 1982, 287.

Download references

Acknowledgement

This investigation was performed within the framework of state tasks under projects 9.2422.2017/PCh and 9.7784.2017/BCh.

Author information

Authors and Affiliations

  1. N .E. Bauman Moscow State Technical University, Moskva, Russia

    V. S. Zarubin, G. N. Kuvyrkin & I. Y. Savelyeva

Authors
  1. V. S. Zarubin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. N. Kuvyrkin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. I. Y. Savelyeva
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. Y. Savelyeva.

Additional information

Translated from Mekhanika Kompozitnykh Materialov, Vol. 53, No. 4, pp. 711-722, July-August, 2017.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zarubin, V.S., Kuvyrkin, G.N. & Savelyeva, I.Y. Estimates of the Elastic Characteristics of a Composite with Short Anisotropic Fibers. Mech Compos Mater 53, 497–504 (2017). https://doi.org/10.1007/s11029-017-9679-3

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11029-017-9679-3

Keywords

Search

Navigation