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Journal of Engineering
Volume 2013, Article ID 456398, 7 pages
http://dx.doi.org/10.1155/2013/456398
Research Article

On the Effect of Unit-Cell Parameters in Predicting the Elastic Response of Wood-Plastic Composites

1Department of Mechanical Engineering, Tarbiat Modares University, Tehran 14115-111, Iran
2School of Engineering, University of British Columbia, Kelowna, BC, Canada V1V 1V7

Received 27 November 2012; Accepted 8 February 2013

Academic Editor: Toshio Hattori

Copyright © 2013 Fatemeh Alavi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. Y. P. Jiang, K. Tohgo, and Y. Shimamura, “An analytical model to study the effective stiffness of the composites with periodically distributed sphere particles,” Composite Structures, vol. 92, no. 2, pp. 216–222, 2010. View at Publisher · View at Google Scholar · View at Scopus
  2. I. M. Gitman, Representative volumes and multi-scale modeling of quasi-brittle materials [Ph.D. thesis], Delf University of Technology, 2006.
  3. T. Kanit, S. Forest, I. Galliet, V. Mounoury, and D. Jeulin, “Determination of the size of the representative volume element for random composites: statistical and numerical approach,” International Journal of Solids and Structures, vol. 40, no. 13-14, pp. 3647–3679, 2003. View at Publisher · View at Google Scholar · View at Scopus
  4. D. Trias, J. Costa, J. A. Mayugo, and J. E. Hurtado, “Random models versus periodic models for fibre reinforced composites,” Computational Materials Science, vol. 38, no. 2, pp. 316–324, 2006. View at Publisher · View at Google Scholar · View at Scopus
  5. O. Vinogradov, “On a representative volume in the micromechanics of particulate composites,” Mechanics of Composite Materials, vol. 37, no. 3, pp. 245–250, 2001. View at Publisher · View at Google Scholar · View at Scopus
  6. M. Ostoja-Starzewski, “Random field models of heterogeneous materials,” International Journal of Solids and Structures, vol. 35, no. 19, pp. 2429–2455, 1998. View at Google Scholar · View at Scopus
  7. A. A. Gusev, “Representative volume element size for elastic composites: a numerical study,” Journal of the Mechanics and Physics of Solids, vol. 45, no. 9, pp. 1449–1459, 1997. View at Google Scholar · View at Scopus
  8. W. J. Drugan and J. R. Willis, “A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites,” Journal of the Mechanics and Physics of Solids, vol. 44, no. 4, pp. 497–524, 1996. View at Publisher · View at Google Scholar · View at Scopus
  9. S. Li and A. Wongsto, “Unit cells for micromechanical analyses of particle-reinforced composites,” Mechanics of Materials, vol. 36, no. 7, pp. 543–572, 2004. View at Publisher · View at Google Scholar · View at Scopus
  10. A. Giraud, Q. V. Huynh, D. Hoxha, and D. Kondo, “Effective poroelastic properties of transversely isotropic rock-like composites with arbitrarily oriented ellipsoidal inclusions,” Mechanics of Materials, vol. 39, no. 11, pp. 1006–1024, 2007. View at Publisher · View at Google Scholar · View at Scopus
  11. S. Graham and N. Yang, “Representative volumes of materials based on microstructural statistics,” Scripta Materialia, vol. 48, no. 3, pp. 269–274, 2003. View at Publisher · View at Google Scholar · View at Scopus
  12. Z. Shan and A. M. Gokhale, “Representative volume element for non-uniform micro-structure,” Computational Materials Science, vol. 24, no. 3, pp. 361–379, 2002. View at Publisher · View at Google Scholar · View at Scopus
  13. F. Hugot and G. Cazaurang, “Mechanical properties of an extruded wood plastic composite: analytical modeling,” Journal of Wood Chemistry and Technology, vol. 28, no. 4, pp. 283–295, 2008. View at Publisher · View at Google Scholar · View at Scopus
  14. M. S. Phadke, Quality Engineering Using Robust Design, PTR Prentice Hall, Upper Saddle River, NJ, USA, 1989.
  15. M. M. Zawlocki, Characterization of wood-plastic composites by dissipated energy [Master of Sciences in Civil Engineering], Washington State University, 2003.
  16. T. Coleman, M. A. Branch, and A. Grace, Optimization Toolbox for Use with MATLABs, User’s Guide Version 2, MathWorks, 1999.
  17. P. E. Gill, W. Murray, M. A. Saunders, and M. H. Wright, “Procedures for optimization problems with a mixture of bounds and general linear constraints,” ACM Transactions on Mathematical Software, vol. 10, no. 3, pp. 282–298, 1984. View at Publisher · View at Google Scholar · View at Scopus
  18. P. E. Gill, W. Murray, and M. H. Wright, Numerical Linear Algebra and Optimization, vol. 1, Addison-Wesley, New York, NY, USA, 1991.