Skip to main content
SpringerLink
Log in

A new approach in modeling of mechanical properties of nanocomposites: effect of interface region and random orientation

  • Original Paper
  • Published:
Iranian Polymer Journal Aims and scope Submit manuscript

Abstract

The Young’s modulus of polymer nanocomposites is predicted using a numerical approximation system (NAS) model based on fully exfoliated nanoparticles, random orientation (with platelet and cylindrical forms), and nanoparticles of specific shapes (e.g., square platelets, nanotubes, and spherical). The thickness of interface between the polymer matrix and nanoparticles which plays an important role in reinforcing mechanism of nanocomposites is also employed in NAS model as a crucial parameter. The modulus of interface region on the surface of nanoparticle is another significant parameter which is taken into account through mathematical modeling procedure of NAS model as it may indicate the manner by which the polymer matrix bonds to the surface of nanoparticles. NAS model proposes a general formulation through which the Young’s modulus of a nanocomposite could be easily predicted, while the involving parameters change due to the shape of nanoparticle (e.g., platelet, cylindrical or spherical). The final predications of NAS model are validated by comparing them with the results of tensile tests for polyamide (PA)/Cloisite 30B nanocomposite system and the results reported in other similar studies on the mechanical properties of polymer nanocomposites.

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

Scheme 1
Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  1. Halpin JC, Pagano NJ (1969) The laminate approximation for randomly oriented fibrous composites. Compos Mater 3:720–724

    Google Scholar 

  2. Halpin JC (1969) Stiffness and expansion estimates for oriented short fiber composites. Compos Mater 3:732–734

    Google Scholar 

  3. Einstein A (1956) Theory of Brownian Motion. Dover, New York

    Google Scholar 

  4. Mooney M (1951) The viscosity of a concentrated suspension of spherical particles. Colloid Sci 69:162–170

    Article  Google Scholar 

  5. Sharifzadeh E, Ghasemi I, Karrabi M, Azizi H (2014) A new approach in modeling of mechanical properties of binary phase polymeric blends. Iran Polym J 23:525–530

    Article  CAS  Google Scholar 

  6. Deng F, Zheng Q, Wang K, Nan C (2007) Effects of anisotropy, aspect ratio, and non-straightness of carbon nanotubes on thermal conductivity of carbon nanotube composites. Appl Phys Lett 90:021914

    Article  Google Scholar 

  7. Deng F, Zheng Q (2008) An analytical model of effective electrical conductivity of carbon nanotube composites. Appl Phys Lett 92:071902

    Article  Google Scholar 

  8. Takayanagi M, Uemura S, Minami S (1964) Application of equivalent model method to dynamic rheo-optical properties of crystalline polymer. Polym Sci 6:113–132

    Google Scholar 

  9. Jianfeng FW, Carson JK, North MF, Cleland DJ (2010) A knotted and interconnected skeleton structural model for predicting Young’s modulus of binary phase polymer blends. Polym Eng Sci 50:643–651

    Article  Google Scholar 

  10. Xiang LJ, Jing JK, Jiang W, Jiang BZ (2002) Tensile modulus of polymer nanocomposites. Polym Eng Sci 42:983–993

    Article  Google Scholar 

  11. Deng F, Van Viet KJ (2011) Prediction of elastic properties for polymer–particle nanocomposites exhibiting an interphase. Nanotech 22:165703

    Article  Google Scholar 

  12. Kolarik J (1996) Simultaneous prediction of the modulus and yield strength of binary polymer blends. Polym Eng Sci 36:2518–2524

    Article  CAS  Google Scholar 

  13. Nielsen L, Landel R (1994) Mechanical properties of polymers and composites. Marcel Dekker, New York

    Google Scholar 

  14. Griun N, Ahmadun F, Abdul Rashid S (2007) Multi-wall carbon nanotubes/styrene butadiene rubber (SBR) nanocomposite. Fuller Nanotub Car N 15:207–214

    Article  Google Scholar 

  15. Vassiliou A (2008) Nanocomposites of isotactic polypropylene with carbon nanoparticles exhibiting enhanced stiffness, thermal stability and gas barrier properties. Compos Sci Tech 68(933):943

    Google Scholar 

  16. Merad L, Benyoucef B, Abadie MJM, Charles JP (2011) Characterization and mechanical properties of epoxy resin reinforced with TiO2 nanoparticles. Eng Appl Sci 6:205–209

    Article  CAS  Google Scholar 

  17. Jin Y, Yuan F (2003) Simulation of elastic properties of single-walled carbon nanotubes. Compos Sci Tech 63:1507–1515

    Article  CAS  Google Scholar 

  18. Kashyap K, Patil R (2008) On Young’s modulus of multi-walled carbon nanotubes. Bull Mater Sci 31:185–187

    Article  CAS  Google Scholar 

  19. Raymond W, Sergey M, Vladimir G (2010) mechanical performance of highly compressible multi-walled carbon nanotube columns with hyperboloid geometries. Carbon 48:145–152

    Article  Google Scholar 

  20. Arpita P (2009) Elastic properties of clays. Colorado School of Mines, Colorado

    Google Scholar 

  21. Juan D (2012) Rheology. InTech, Spain

    Google Scholar 

  22. O’Brien D, Sottos N, White S (2007) Cure-dependent viscoelastic Poisson’s ratio of epoxy. Exp Mech 47:237–249

    Article  Google Scholar 

  23. Aktas L, Altan M (2010) Effect of nanoclay content on properties of glass-waterborne epoxy laminates at low clay loading. Mater Sci Tech 26(5)

Download references

Author information

Authors and Affiliations

  1. Department of Plastics, Iran Polymer and Petrochemical Institute, P.O. Box 14965/115, Tehran, Iran

    Esmail Sharifzadeh, Ismail Ghasemi, Mohammad Karrabi & Hamed Azizi

Authors
  1. Esmail Sharifzadeh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ismail Ghasemi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Mohammad Karrabi
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Hamed Azizi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ismail Ghasemi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sharifzadeh, E., Ghasemi, I., Karrabi, M. et al. A new approach in modeling of mechanical properties of nanocomposites: effect of interface region and random orientation. Iran Polym J 23, 835–845 (2014). https://doi.org/10.1007/s13726-014-0276-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13726-014-0276-1

Keywords

Search

Navigation