Journal of Applied Physics
Feedback | Help | Exit
Journal of Applied Physics
   
 
 
 
Previous Article
Nanoindentation studies of graded shape memory alloy thin films processed using diffusion modification
Graded shape memory alloy thin films were fabricated and characterized to study the effects of compositional gradients on elastic modulus and hardness measurements. Ni47Ti53  (at.  ...
Next Article
Theory of phase-modulation atomic force microscopy with constant-oscillation amplitude
The recently introduced phase-modulation mode with constant oscillation amplitude is analyzed and compared with the conventional amplitude-modulation technique. We show that instabilities in the ampli...

Modeling the elastic moduli of fiber networks and nanocomposites: Transversely isotropic filler particles

J. Appl. Phys. 103, 064316 (2008); doi:10.1063/1.2899961

Published 26 March 2008

You are not logged in to this journal. Log in

Avik P. Chatterjee
Department of Chemistry, 121 Edwin C. Jahn Laboratory, SUNY-ESF, One Forestry Drive, Syracuse, New York 13210, USA
A model is developed for the elastic moduli of networks composed of transversely isotropic elongated particles characterized by aspect ratio polydispersity. An effective medium approach is employed to integrate our treatment of elastic fiber networks with results from (i) the Mori–Tanaka model for dispersions of transversely isotropic inclusions and from (ii) percolation theory, and to describe fiber-reinforced nanocomposites. Model calculations are presented for the dependences of composite moduli on particle aspect ratios, volume fractions, and polydispersities, and on anisotropy in the fiber stiffness tensor. ©2008 American Institute of Physics
History: Received 16 October 2007; accepted 9 February 2008; published 26 March 2008
Permalink: http://link.aip.org/link/?JAPIAU/103/064316/1
BUY THIS ARTICLE   (US$28)
Download HTML Download Sectioned HTML Download PDF (151 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 81.40.Jj
    Elasticity and anelasticity, stress-strain relations
  • 62.20.de
    Elastic moduli of solids
  • 68.35.Gy
    Mechanical properties and surface strains of solid surfaces and interfaces
  • 62.20.F-
    Deformation and plasticity of solids
  • 81.40.Lm
    Deformation, plasticity, and creep
  • 61.72.Qq
    Microscopic defects (voids, inclusions, etc.)
  • YEAR: 2008

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 (47)
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. X. Li, L. Zhong, and L. J. Pyrak-Nolte, Annu. Rev. Earth Planet Sci. 29, 419 (2001).
  5. R. Knight, J. Dvorkin, and A. Nur, Geophysics 63, 132 (1998).
  6. H. M. Elmehdi, J. H. Page, and M. G. Scanlon, Cereal Chem. 81, 504 (2004).
  7. S. H. Wang, L. P. Lee, and J. S. Lee, J. Acoust. Soc. Am. 109, 390 (2001).
  8. R. J. Urick, J. Appl. Phys. 18, 983 (1947).
  9. G. Meng, A. J. Jaworski, and N. M. White, Chem. Eng. Process. 45, 383 (2006).
  10. Z. Hashin and S. Shtrikman, J. Mech. Phys. Solids 11, 127 (1963).
  11. J. C. Halpin and J. L. Kardos, J. Appl. Phys. 43, 2235 (1972).
  12. M. Takayanagi, S. Uemura, and S. Minami, J. Polym. Sci., J. Polym. Sci., Part C: Polym. Symp. 5, 113 (1964).
  13. X. F. Wu and Y. A. Dzenis, J. Appl. Phys. 98, 093501 (2005).
  14. A. P. Chatterjee and D. A. Prokhorova, J. Appl. Phys. 101, 104301 (2007).
  15. G. T. Kuster and M. N. Toksoz, Geophysics 39, 587 (1974).
  16. J. G. Berryman, Appl. Phys. Lett. 35, 856 (1979).
  17. J. G. Berryman, J. Acoust. Soc. Am. 68, 1809 (1980).
  18. P. Potschke, M. Abdel-Goad, I. Alig, S. Dudkin, and D. Lellinger, Polymer 45, 8863 (2004).
  19. F. Du, R. C. Scogna, W. Zhou, S. Brand, J. E. Fischer, and K. I. Winey, Macromolecules 37, 9048 (2004).
  20. V. Favier, G. R. Canova, S. C. Shrivastava, and J. Y. Cavaille, Polym. Eng. Sci. 37, 1732 (1997).
  21. M. A. S. A. Samir, F. Alloin, and A. Dufresne, Biomacromolecules 6, 612 (2005).
  22. D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor & Francis, London, 1994).
  23. S. Nemat-Nasser and M. Hori, Micromechanics: Overall Properties of Heterogeneous Materials (Elsevier, Amsterdam, 1999).
  24. F. Pampaloni, G. Lattanzi, A. Jonas, T. Surrey, E. Frey, and E. L. Florin, Proc. Natl. Acad. Sci. U.S.A. 103, 10248 (2006).
  25. J. A. Tuszynski, T. Luchko, S. Portet, and J. M. Dixon, Eur. Phys. J. E 17, 29 (2005).
  26. Y. P. Qiu and G. J. Weng, Int. J. Eng. Sci. 28, 1121 (1990).
  27. G. M. Odegard, T. S. Gates, K. E. Wise, C. Park, and E. J. Siochi, Compos. Sci. Technol. 63, 1671 (2003).
  28. K. Tashiro and M. Kobayashi, Polymer 32, 1516 (1991).
  29. S. Elazzouzi-Hafraoui, Y. Nishiyama, J.-L. Putaux, L. Heux, F. Dubreuil, and C. Rochas, Biomacromolecules 9, 57 (2008).
  30. S. Beck-Candanedo, M. Roman, and D. G. Gray, Biomacromolecules 6, 1048 (2005).
  31. H. L. Cox, Br. J. Appl. Phys. 3, 72 (1952).
  32. S. P. Timoshenko and J. N. Goodier, Theory of Elasticity (McGraw-Hill, New York, 1970).
  33. M. Foygel, R. D. Morris, D. Anez, S. French, and V. L. Sobolev, Phys. Rev. B 71, 104201 (2005).
  34. A. P. Chatterjee, J. Chem. Phys. 113, 9310 (2000).
  35. I. Balberg, C. H. Anderson, S. Alexander, and N. Wagner, Phys. Rev. B 30, 3933 (1984).
  36. M. D. Rintoul and S. Torquato, J. Phys. A 30, L585 (1997).
  37. J. A. Astrom, J. P. Makinen, M. J. Alava, and J. Timonen, Phys. Rev. E 61, 5550 (2000).
  38. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1972).
  39. G. Grimvall, J. Phys. C 17, 3545 (1984).
  40. G. J. Weng, Int. J. Eng. Sci. 28, 1111 (1990).
  41. P. G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, 1979).
  42. E. Herve and A. Zaoui, Int. J. Eng. Sci. 33, 1419 (1995).
  43. M. L. Dunn and H. Ledbetter, J. Appl. Mech. 62, 1023 (1995).
  44. K. Nakamura, M. Wada, S. Kuga, and T. Okano, J. Polym. Sci., Part B: Polym. Phys. 42, 1206 (2004).
  45. M. J. Biercuk, M. C. Llaguno, M. Radosavljevic, J. K. Hyun, A. T. Johnson, and J. E. Fischer, Appl. Phys. Lett. 80, 2767 (2002).
  46. Z. Ounaies, C. Park, K. E. Wise, E. J. Siochi, and J. S. Harrison, Compos. Sci. Technol. 63, 1637 (2003).
  47. D. Zabetakis, M. Dinderman, and P. Schoen, Adv. Mater. (Weinheim, Ger.) 17, 734 (2005).

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