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Modification of Mixture Rule for Polymer Nanocomposites and 2D Nanofiller Structure

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Russian Physics Journal Aims and scope

The paper shows a correct application of the modified mixture rule for a description of the elastic modulus of polymer nanocomposites. It is found that aggregation of a two-dimensional nanofiller (graphene oxide), which is characterized by the number of platelets in one aggregate (tactoid), is the only factor that determines the elastic modulus of these nanomaterials at a constant concentration of the nanofiller in the matrix polymer. The quality of functionalization of the two-dimensional nanofiller is identified by the ability to enhance the interaction between the nanofiller and the matrix polymer, and not to change (or weaken) the interaction between the nanofiller platelets.

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References

  1. S. Ahmed and F. R. Jones, J. Mater. Sci., 25, No. 12, 4933 (1990).

    Article  ADS  Google Scholar 

  2. H. Krenchel, Fibre Reinforcement, Akademisk Forlag, Copenhagen (1964).

    Google Scholar 

  3. M. S. P. Shaffer and A. H. Windle, Adv. Mater., 11, No. 11, 937 (1999).

    Article  Google Scholar 

  4. S. H. Shim, K. T. Kim, J. U. Lee, and W. H. Jo, ACS Appl. Mater. Interfaces, 4, No. 16, 4184 (2012).

    Article  Google Scholar 

  5. A. K. Mikitaev, G. V. Kozlov, and G. E. Zaikov, Polymer Nanocomposites: Variety of Structural Forms and Applications, Nova Science Publishers, Inc., New York (2008).

  6. D. W. Schaefer and R. S. Justice, Macromolecules, 40, No. 24, 8501 (2007).

    Article  ADS  Google Scholar 

  7. H. Kim, A. A. Abdala, and C. W. Macosko, Macromolecules, 43, No. 16, 6515 (2010).

    Article  ADS  Google Scholar 

  8. Y. Xu, W. Hong, H. Bai, et al., Carbon, 45, No. 15, 3538 (2009).

    Article  Google Scholar 

  9. T. F. Irzhak and V. I. Irzhak, J. Polym. Sci. Pol. Phys., 59, No. 6, 791–825 (2017).

    Google Scholar 

  10. G. V. Kozlov and I. V. Dolbin, Russ. Phys. J., 61, No. 5, 974–978 (2018).

    Article  Google Scholar 

  11. G. V. Kozlov and I. V. Dolbin, Nano- i mikrosistemnaya tekhnika, 20, No. 8, 466 (2018).

    Article  Google Scholar 

Download references

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Correspondence to G. M. Magomedov.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 61–64, July, 2021.

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Magomedov, G.M., Kozlov, G.V. & Dolbin, I.V. Modification of Mixture Rule for Polymer Nanocomposites and 2D Nanofiller Structure. Russ Phys J 64, 1239–1242 (2021). https://doi.org/10.1007/s11182-021-02450-y

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  • DOI: https://doi.org/10.1007/s11182-021-02450-y

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