Skip to main content
Log in

Effects of Porosity of a Composite Reinforced with Nanostructured Inclusions on its Thermoelastic Characteristics

  • Published:
Mechanics of Solids Aims and scope Submit manuscript

Abstract

A mathematical model was constructed describing the thermomechanical interaction of particles of the composite matrix and reinforcing elements (randomly oriented anisotropic single-walled carbon nanotubes) with an isotropic medium with the desired thermoelastic characteristics. This model was used to find the self-consistency of the thermoelastic characteristics of the composite, taking into account the porosity of its matrix, which are compared with two-sided estimates derived from the dual variational formulation of the thermoelasticity problem. The presented relations make it possible to estimate the effect of the porosity of the matrix of the composite under consideration on its thermoelastic characteristics.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. Bieksha, “Utilization of Composite Materials in Defense and Aerospace Industries,” Vestn. Elektron., No. 1, 24–27 (2014).

    Google Scholar 

  2. Reference Book in Composite Materials, Ed. by J. Lubin (Mashinostroenie, Moscow, 1988) [in Russian].

    Google Scholar 

  3. V. V. Vasiliev, Mechanics of Structures Made of Composite Materials (Mashinostroenie, Moscow, 1988) [in Russian].

    Google Scholar 

  4. R. A. Roscoe, “Isotropic Composites with Elastic and Viscoelastic Phases: General Bounds for the Moduli and Solutions for Spetial Geometries,” Rheol. Acta. 12, 404–411.

  5. I. A. Kunin, Elastic Media with Microstructures (Springer-Verlag, 1983).

    Book  Google Scholar 

  6. L. J. Walpole, “On the Overall Elastic Moduli of Composite Materials,” J. Mech. Phys. Sol. 17, 235–251 (1969).

    Article  MATH  ADS  Google Scholar 

  7. T. Mori and K. Tanaka, “Average Stress in Matrix and Average Elastic Energy of Materials with Misfitting Inclusions,” Acta Metall. 21, 571–574 (1973).

    Article  Google Scholar 

  8. K. B. Ustinov and R. V. Goldstein, “On Application of Classical Eshelby Approach to Calculating Effective ElasticModuli of Dispersed Composites,” Int. J. Fract. 147, 55–66 (2007).

    Article  MATH  Google Scholar 

  9. R. L. Salganik, “Mechanics of Bodies with Many Cracks,” Izv. Akad. Nauk SSSR, Mekh. Tv. Tela, No. 4, 149–158 (1973) [Mech. Sol. (Engl. Transl.) 8 (4), 135–143 (1973)].

    Google Scholar 

  10. B. Budiansky and R. J. O’Connell, “Elastic Moduli of a Cracked Solid,” Int. J. Sol. Struct. 12, 81–97 (1976).

    Article  MATH  Google Scholar 

  11. P. Palermo, “Structural Ceramic Nanocomposites: A Review of Properties and Powders’ Synthesis Methods,” Nanomat. 5 (2), 656–696 (2015).

    Article  Google Scholar 

  12. R. Casati and M. Vedani, “Metal Matrix Composites Reinforced by Nano-Particles-A Review,” Metals 4, 65–83 (2014).

    Article  Google Scholar 

  13. O. L. Blakslee, D. G. Proctor, E. J. Seldin, et al., “Elastic Constants of Compression-an-Nealed Pyrolytic Graphite,” J. Appl. Phys. 41 (8), 3373–3382 (1970).

    Article  ADS  Google Scholar 

  14. J. D. Eshelby, Continual Theory of Dislocations (Inostr. Lit-ra, Moscow, 1963) [in Russian].

    Google Scholar 

  15. T. D. Shermergor, Theory of Elasticity of Microinhomogeneous Media (Nauka, Moscow, 1977) [in Russian].

    Google Scholar 

  16. V. S. Zarubin and O. V. Novozhilova, “Estimates of Thermoelastic Characteristics of Composites Reinforced by ShortAnisotropic Fibers,” Izv. Akad. Nauk. Mekh. Tv. Tela, No. 3, 6–19 (2016) [Mech. Sol. (Engl. Transl.) 51 (3), 245–255 (2016)].

    Google Scholar 

  17. V. S. Zarubin and E. S. Sergeeva, “Study of the Connection of Elastic Characteristics of a Single-Layer Carbon Nanotube and Graphene,” Vest. MGTU Baumana Ser. Estestv. Nauki, No. 1, 100–110 (2016).

    Google Scholar 

  18. H. Jiang, B. Liu, Y. Huang, K. C. Hwang, “Thermal Expansion of Single Wall Carbon Nanotubes,” J. Engng Mat. Tech. 126, 265–270 (2004).

    Article  Google Scholar 

  19. V. S. Zarubin and G. N. Kuvyrkin,Mathematical Models of Continuum Mechanics and Electrodynamics (Izd-vo Bauman MGTU, Moscow, 2008) [in Russian].

    Google Scholar 

  20. N. N. Golovin, V. S. Zarubin, and G. N. Kuvyrkin, “Mixture Models of Composite Mechanics, Pt. 1: Thermomechanics and Thermoelasticity of Multicomposite Mixture,” Vest. MGTU Baumana. Ser. Estestv. Nauki, No. 3, 36–49 (2009).

    Google Scholar 

  21. I. E. Berinskii and A. M. Krivtsov, “On Using Many-Particle Interatomic Potentials to Compute Elastic Properties of Graphene and Diamond,” Izv. Akad. Nauk. Mekh. Tv. Tela, No. 6, 60–85 (2010) [Mech. Sol. (Engl. Transl.) 45 (63), 815–834 (2010)].

    Google Scholar 

  22. I. S. Grigoriev and E. Z. Melikhov (Editors), Physical Quantities, Reference Book (Energoatomizdat, Moscow, 1991) [in Russian].

    Google Scholar 

Download references

Acknowledgments

The work was performed as part of the implementation of the basic part of the state task of the Ministry of Education and Science of the Russian Federation (project 9.7784.2017/BC).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. S. Sergeeva.

Additional information

Original Russian Text © V.S. Zarubin, E.S. Sergeeva, 2018, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2018, No. 6, pp. 92–102.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zarubin, V.S., Sergeeva, E.S. Effects of Porosity of a Composite Reinforced with Nanostructured Inclusions on its Thermoelastic Characteristics. Mech. Solids 53, 675–684 (2018). https://doi.org/10.3103/S0025654418060080

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0025654418060080

Keywords

Navigation