Journal of Applied Physics
Feedback | Help | Exit
Journal of Applied Physics
   
 
 
 
Previous Article
Spin-pair correlation dependent dynamic properties in magnetic relaxor ferroelectrics
In magnetic relaxor ferroelectrics, for the coupling interaction between the relaxor ferroelectricity and magnetic order, the dielectric constant exhibits a sharp increase around the magnetic phase-tr...
Next Article
Nanofabrication of spin-transfer torque devices by a polymethylmethacrylate mask one step process: Giant magnetoresistance versus single layer devices
We present a method to prepare magnetic spin torque devices of low specific resistance in a one step lithography process. The quality of the pillar devices is demonstrated for a standard magnetic doub...

An effective medium model for the elastic moduli of fiber networks and nanocomposites

J. Appl. Phys. 101, 104301 (2007); doi:10.1063/1.2732437

Published 16 May 2007

You are not logged in to this journal. Log in

Avik P. Chatterjee and Darya A. Prokhorova
Department of Chemistry, 121 Edwin C. Jahn Laboratory, SUNY-ESF, One Forestry Drive, Syracuse, New York 13210
A model is developed for the elastic moduli of fiber networks composed of elongated particles characterized by aspect ratio polydispersity. The present treatment of elastic fiber networks is integrated with an effective medium model for heterogeneous materials and with percolation theory to provide a framework for describing fiber-reinforced nanocomposites. Model calculations are presented for the dependences of composite moduli on particle aspect ratio, volume fraction, and polydispersity index. ©2007 American Institute of Physics
History: Received 30 October 2006; accepted 14 March 2007; published 16 May 2007
Permalink: http://link.aip.org/link/?JAPIAU/101/104301/1
BUY THIS ARTICLE   (US$28)
Download HTML Download Sectioned HTML Download PDF (204 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 62.25.+g
    Mechanical properties of nanoscale materials
  • 81.40.Jj
    Elasticity and anelasticity, stress-strain relations
  • 62.20.Dc
    Elasticity, elastic constants
  • YEAR: 2007

RELATED DATABASES


To view database links for this article,
you need to log in.
To view database links for this article,
you need to log in.

PUBLICATION DATA

ISSN:
0021-8979 (print)   1089-7550 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (36)
View in Separate Window/Tab
For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. R. M. Christensen, Mechanics of Composite Materials (Wiley, New York, 1979).
  2. Z. Hashin, J. Appl. Mech. 50, 481 (1983).
  3. P. A. Berge, B. P. Bonner, and J. G. Berryman, Geophysics 60, 108 (1995).
  4. B. A. Buffett, E. J. Garnero, and R. Jeanloz, Science 290, 1338 (2000).
  5. X. Li, L. Zhong, and L. J. Pyrak-Nolte, Annu. Rev. Earth Planet Sci. 29, 419 (2001).
  6. X. F. Wu and Y. A. Dzenis, J. Appl. Phys. 98, 093501 (2005).
  7. A. P. Chatterjee, J. Appl. Phys. 100, 054302 (2006).
  8. J. A. Astrom, J. P. Makinen, M. J. Alava, and J. Timonen, Phys. Rev. E 61, 5550 (2000).
  9. G. T. Kuster and M. N. Toksoz, Geophysics 39, 587 (1974);
    10. 39, 607 (1974).
  10. J. G. Berryman, J. Acoust. Soc. Am. 68, 1809 (1980);
    11. 68, 1820 (1980).
  11. T. T. Wu, Int. J. Solids Struct. 2, 1 (1966).
  12. G. P. Tandon and G. J. Weng, Compos. Sci. Technol. 27, 111 (1986).
  13. B. Budiansky, J. Mech. Phys. Solids 13, 223 (1965).
  14. R. Hill, J. Mech. Phys. Solids 13, 213 (1965).
  15. V. Favier, G. R. Canova, S. C. Shrivastava, and J. Y. Cavaille, Polym. Eng. Sci. 37, 1732 (1997).
  16. V. Favier, H. Chanzy, and J. Y. Cavaille, Macromolecules 28, 6365 (1995).
  17. M. A. S. A. Samir, F. Alloin, and A. Dufresne, Biomacromolecules 6, 612 (2005).
  18. N. Ljungberg, C. Bonini, F. Bortolussi, C. Boisson, L. Heux, and J. Y. Cavaille, Biomacromolecules 6, 2732 (2005).
  19. D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor & Francis, London, 1994).
  20. J. C. Halpin and J. L. Kardos, J. Appl. Phys. 43, 2235 (1972).
  21. H. L. Cox, Br. J. Appl. Phys. 3, 72 (1952).
  22. M. A. Narter, S. K. Batra, and D. R. Buchanan, Proc. R. Soc. London, Ser. A 455, 3543 (1999).
  23. M. Foygel, R. D. Morris, D. Anez, S. French, and V. L. Sobolev, Phys. Rev. B 71, 104201 (2005).
  24. A. P. Chatterjee, J. Chem. Phys. 113, 9310 (2000).
  25. I. Balberg, C. H. Anderson, S. Alexander, and N. Wagner, Phys. Rev. B 30, 3933 (1984).
  26. M. D. Rintoul and S. Torquato, J. Phys. A 30, L585 (1997).
  27. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1972).
  28. S. P. Timoshenko and J. N. Goodier, Theory of Elasticity (McGraw-Hill, New York, 1970).
  29. M. Takayanagi, S. Uemura, and S. Minami, J. Polym. Sci., Part C: Polym. Symp. 5, 113 (1964).
  30. R. A. Dickie, J. Appl. Polym. Sci. 17, 45 (1973).
  31. Z. Hashin and S. Shtrikman, J. Mech. Phys. Solids 11, 127 (1963).
  32. C. H. Arns, M. A. Knackstedt, W. Val Pinczewski, and E. J. Garboczi, Geophysics 67, 1396 (2002).
  33. B. D'Aguanno and R. Klein, Phys. Rev. A 46, 7652 (1992).
  34. J. D. Eshelby, Proc. R. Soc. London, Ser. A 241, 376 (1957).
  35. Y. M. Wang and G. J. Weng, J. Appl. Mech. 59, 510 (1992).
  36. S. Uemura and M. Takayanagi, J. Appl. Polym. Sci. 10, 113 (1966).

CITING ARTICLES
For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.


Copyright © American Institute of Physics