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Journal of Porous Materials

, Volume 19, Issue 6, pp 1009–1014 | Cite as

Model calculation of the pore-size and porosity dependences of bulk moduli in nanoporous materials

  • Iwan Sumirat
  • Shuji Shimamura
Article

Abstract

The bulk moduli of nanoporous materials are studied theoretically on the basis of an interatomic potential. We consider model nanoporous materials in which nanometer-sized cubic-shaped pores are periodically arranged in the fcc lattice. The pore-size and porosity dependences of bulk modulus are calculated exactly for the model nanoporous materials. It is shown that the bulk moduli of model nanoporous materials decrease moderately with increasing porosity. If nanoporous materials of the same porosity are compared, the bulk modulus increases and becomes constant with increasing pore-size. It is suggested from the calculation results that nanoporous materials without defects have higher bulk moduli than materials having micrometer-sized pores.

Keywords

Bulk modulus Pore size Porosity Model calculation 

References

  1. 1.
    J. Kim, O. Wilhelm, S.E. Pratsinis, J. Am. Ceram. Soc. 84(12), 2802 (2001)CrossRefGoogle Scholar
  2. 2.
    G.-S. Park, C.-W. Ahn, M.-W. Kim, J. Am. Ceram. Soc. 85(10), 2542 (2002)CrossRefGoogle Scholar
  3. 3.
    T. Jin, K. Kuraoka, Y. Matsumura, T. Onishi, T. Yazawa, J. Am. Ceram. Soc. 85(10), 2569 (2002)CrossRefGoogle Scholar
  4. 4.
    Y. Wakabayashi, K. Ito, H.-L. Li, Y. Ujihira, K. Kamitani, H. Inoue, A. Makishima, J. Am. Ceram. Soc. 86(9), 1625 (2003)CrossRefGoogle Scholar
  5. 5.
    F. Cheng, S. Clark, S.M. Kelly, J.S. Bradley, F. Lefebvre, J. Am. Ceram. Soc. 87(8), 1413 (2004)CrossRefGoogle Scholar
  6. 6.
    N.-L. Wu, C.-Y. Tung, J. Am. Ceram. Soc. 87(9), 1741 (2004)CrossRefGoogle Scholar
  7. 7.
    P. Wang, L. Lin, Y. Zhu, Y. Xie, J. Am. Ceram. Soc. 90(2), 402 (2007)CrossRefGoogle Scholar
  8. 8.
    S. Jin, G. Qiu, F. Xiao, Y. Chang, C. Wan, M. Yang, J. Am. Ceram. Soc. 90(3), 957 (2007)CrossRefGoogle Scholar
  9. 9.
    X. Zhang, W. Wu, J. Wang, C. Liu, J. Am. Ceram. Soc. 90(3), 965 (2007)CrossRefGoogle Scholar
  10. 10.
    S. Costacurta, L. Biasetto, E. Pippel, J. Woltersdorf, P. Colombo, J. Am. Ceram. Soc. 90(7), 2172 (2007)CrossRefGoogle Scholar
  11. 11.
    W. Tanglumlert, T. Imae, T.J. White, S. Wongkasemjit, J. Am. Ceram. Soc. 90(12), 3992 (2007)Google Scholar
  12. 12.
    F. Kawamura, H. Yamane, T. Yamada, S. Yin, T. Sato, J. Am. Ceram. Soc. 91(1), 51 (2008)CrossRefGoogle Scholar
  13. 13.
    F. Hayashi, K. Ishizu, M. Iwamoto, J. Am. Ceram. Soc. 93(1), 104 (2010)CrossRefGoogle Scholar
  14. 14.
    A. Mondal, A. Zachariah, P. Nayak, B.B. Nayak, J. Am. Ceram. Soc. 93(2), 387 (2010)CrossRefGoogle Scholar
  15. 15.
    F. Machida, Y. Daiko, A. Mineshige, M. Kobune, N. Toyoda, I. Yamada, T. Yazawa, J. Am. Ceram. Soc. 93(2), 461 (2010)CrossRefGoogle Scholar
  16. 16.
    G. Hasegawa, K. Kanamori, K. Nakanishi, T. Hanada, J. Am. Ceram. Soc. 93(10), 3110 (2010)CrossRefGoogle Scholar
  17. 17.
    Z.-Y. Deng, T. Fukasawa, M. Ando, G.-J. Zhang, T. Ohji, J. Am. Ceram. Soc. 84(11), 2638 (2001)CrossRefGoogle Scholar
  18. 18.
    J.-F. Yang, T. Ohji, S. Kanzaki, A. Diaz, S. Hampshire, J. Am. Ceram. Soc. 85(6), 1512 (2002)CrossRefGoogle Scholar
  19. 19.
    Z.-Y. Deng, J.-F. Yang, Y. Beppu, M. Ando, T. Ohji, J. Am. Ceram. Soc. 85(8), 1961 (2002)CrossRefGoogle Scholar
  20. 20.
    M.G. Pontin, F.F. Lange, J. Am. Ceram. Soc. 88(2), 376 (2005)CrossRefGoogle Scholar
  21. 21.
    S.-Y. Shan, J.-F. Yang, J.-Q. Gao, W.-H. Zhang, Z.-H. Jin, R. Janssen, T. Ohji, J. Am. Ceram. Soc. 88(9), 2594 (2005)CrossRefGoogle Scholar
  22. 22.
    O. Yeheskel, M. Shokhat, S. Salhov, O. Tevet, J. Am. Ceram. Soc. 92(8), 1655 (2009)CrossRefGoogle Scholar
  23. 23.
    N. Ramakrishnan, V.S. Arunachalam, J. Mater. Sci. 25, 3930 (1990)CrossRefGoogle Scholar
  24. 24.
    N. Ramakrishnan, V.S. Arunachalam, J. Am. Ceram. Soc. 76(11), 2745 (1993)CrossRefGoogle Scholar
  25. 25.
    K. Tanaka, Y. Akiniwa, T. Ito, Mater. Sci. Res. Int. 6(1), 49 (2000)Google Scholar
  26. 26.
    T. Sadowski, S. Samborski, J. Am. Ceram. Soc. 86(12), 2218 (2003)CrossRefGoogle Scholar
  27. 27.
    R.G. Munro, J. Am. Ceram. Soc. 84(5), 1190 (2001)CrossRefGoogle Scholar
  28. 28.
    C. Kittel, Introduction to Solid State Physics, 5th edn. (Wiley, New York, 1976), p. 82Google Scholar
  29. 29.
    O.L. Anderson, Phys. Acoust. 3B, 43 (1965)Google Scholar
  30. 30.
    C.M. Flannery, T. Wittkowsky, K. Jung, B. Hillebrands, M.R. Baklanov, Appl. Phys. Lett. 80(24), 4594 (2002)CrossRefGoogle Scholar
  31. 31.
    M.E. Davis, Nature 417, 813 (2002)CrossRefGoogle Scholar
  32. 32.
    H. Miyata, T. Suzuki, A. Fukuoka, T. Sawada, M. Watanabe, T. Noma, K. Takada, T. Mukaide, K. Kuroda, Nat. Mater. 3, 651 (2004)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Neutron Scattering LaboratoryPTBIN-BATANTangerangIndonesia
  2. 2.Department of Applied Science, Faculty of EngineeringYamaguchi UniversityUbeJapan

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