Table of Contents Author Guidelines Submit a Manuscript
Advances in Materials Science and Engineering
Volume 2015, Article ID 937126, 8 pages
http://dx.doi.org/10.1155/2015/937126
Research Article

Multiscale Validation of the Applicability of Micromechanical Models for Asphalt Mixture

1School of Highway, Chang’an University, Shaanxi, Xi’an 710064, China
2School of Materials Science and Engineering, Chang’an University, Shaanxi, Xi’an 710064, China

Received 22 April 2015; Revised 22 July 2015; Accepted 28 July 2015

Academic Editor: Antônio G. B. de Lima

Copyright © 2015 Jiupeng Zhang 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. E. Masad, “X-ray computed tomography of aggregates and asphalt mixes,” Materials Evaluation, vol. 62, no. 7, pp. 775–783, 2004. View at Google Scholar
  2. L. Wang, J. Y. Park, and Y. R. Fu, “Representation of real particles for DEM simulation using X-ray tomography,” Construction and Building Materials, vol. 21, no. 2, pp. 338–346, 2007. View at Publisher · View at Google Scholar
  3. X. L. Du and L. Jin, “A review on meso-mechanical method for studying the static-mechanical properties of concrete,” Advances in Mechanics, vol. 41, no. 4, pp. 411–426, 2011. View at Google Scholar
  4. Z. You, Y. Liu, and Q. Dai, “Three-dimensional microstructural-based discrete element viscoelastic modeling of creep compliance tests for asphalt mixtures,” Journal of Materials in Civil Engineering, vol. 23, no. 1, pp. 79–87, 2011. View at Publisher · View at Google Scholar
  5. R. Hill, “A self-consistent mechanics of composite materials,” Journal of the Mechanics and Physics of Solids, vol. 13, no. 4, pp. 213–222, 1965. View at Publisher · View at Google Scholar
  6. B. Budiansky, “On the elastic moduli of some heterogeneous materials,” Journal of the Mechanics and Physics of Solids, vol. 13, no. 4, pp. 223–227, 1965. View at Publisher · View at Google Scholar
  7. T. Mori and K. Tanaka, “Average stress in matrix and average elastic energy of materials with misfitting inclusions,” Acta Metallurgica, vol. 21, no. 5, pp. 571–574, 1973. View at Publisher · View at Google Scholar
  8. R. Christensen and K. Lo, “Solutions for effective shear properties in three phase sphere and cylinder models,” Journal of the Mechanics and Physics of Solids, vol. 27, no. 4, pp. 315–330, 1979. View at Publisher · View at Google Scholar
  9. R. Mclaughlin, “A study of the differential scheme for composite materials,” International Journal of Engineering Science, vol. 15, no. 4, pp. 237–244, 1977. View at Publisher · View at Google Scholar
  10. W. G. Buttlar and R. Roque, “Evaluation of empirical and theoretical models to determine asphalt mixtures stiffnesses at low temperature,” Journal of the Association of Asphalt Paving Technologists, vol. 65, pp. 99–141, 1996. View at Google Scholar
  11. Y. Li and J. B. Metcalf, “Two-step approach to prediction of asphalt concrete modulus from two-phase micromechanical models,” Journal of Materials in Civil Engineering, vol. 17, no. 4, pp. 407–415, 2005. View at Publisher · View at Google Scholar
  12. H. M. Yin, W. G. Buttlar, G. H. Paulino, and H. D. Benedetto, “Assessment of existing micro-mechanical models for asphalt mastic considering viscoelastic effects,” Road Materials and Pavement Design, vol. 9, no. 1, pp. 31–57, 2008. View at Publisher · View at Google Scholar
  13. H. L. Duan, X. Yi, Z. P. Huang, and J. Wang, “A unified scheme for prediction of effective moduli of multiphase composites with interface effects. Part I: theoretical framework,” Mechanics of Materials, vol. 39, no. 1, pp. 81–93, 2007. View at Publisher · View at Google Scholar
  14. J. D. Eshelby, “The determination of the elastic field of an ellipsoidal inclusion and related problems,” Proceedings of the Royal Society of London A, vol. 241, pp. 376–396, 1957. View at Google Scholar
  15. V. Kushnevsky, O. Morachkovsky, and H. Altenbach, “Identification of effective properties of particle reinforced composite materials,” Computational Mechanics, vol. 22, no. 4, pp. 317–325, 1998. View at Publisher · View at Google Scholar
  16. N. Shashidhar and A. Shenoy, “On using micromechanical models to describe dynamic mechanical behavior of asphalt mastics,” Mechanics of Materials, vol. 34, no. 10, pp. 657–669, 2002. View at Publisher · View at Google Scholar
  17. A. Norris, “A differential scheme for the effective moduli of composites,” Mechanics of Materials, vol. 4, no. 1, pp. 1–16, 1985. View at Publisher · View at Google Scholar
  18. X. Shu and B. S. Huang, “Predicting dynamic modulus of asphalt mixtures with differential method,” Road Materials and Pavement Design, vol. 10, no. 2, pp. 337–359, 2009. View at Publisher · View at Google Scholar
  19. M. Kim and W. G. Buttlar, “Differential scheme effective medium theory for hot mix asphalt |E| prediction,” Journal of Materials in Civil Engineering, vol. 23, no. 1, pp. 69–78, 2011. View at Publisher · View at Google Scholar
  20. G. Q. Li, Y. Q. Li, J. B. Metcalf, and S. S. Pang, “Elastic modulus prediction of asphalt concrete,” Journal of Materials in Civil Engineering, vol. 11, no. 3, pp. 236–241, 1999. View at Publisher · View at Google Scholar
  21. X. Shu and B. S. Huang, “Dynamic modulus prediction of HMA mixtures based on the viscoelastic micromechanical model,” Journal of Materials in Civil Engineering, vol. 20, no. 8, pp. 530–538, 2008. View at Publisher · View at Google Scholar
  22. X. Shu and B. Huang, “Micromechanics-based dynamic modulus prediction of polymeric asphalt concrete mixtures,” Composites Part B: Engineering, vol. 39, no. 4, pp. 704–713, 2008. View at Publisher · View at Google Scholar
  23. Y. Kim and D. N. Little, “Linear viscoelastic analysis of asphalt mastics,” Journal of Materials in Civil Engineering, vol. 16, no. 2, pp. 122–132, 2004. View at Publisher · View at Google Scholar
  24. N. W. Tschoegl, The Phenomenological Theory of Linear Viscoelastic Behavior, Springer, Berlin, Germany, 1989. View at Publisher · View at Google Scholar
  25. B. S. Underwood and Y. R. Kim, “Experimental investigation into the multiscale behaviour of asphalt concrete,” International Journal of Pavement Engineering, vol. 12, no. 4, pp. 357–370, 2011. View at Publisher · View at Google Scholar
  26. F. P. Zhou, F. D. Lydon, and B. I. G. Barr, “Effect of coarse aggregate on elastic modulus and compressive strength of high performance concrete,” Cement and Concrete Research, vol. 25, no. 1, pp. 177–186, 1995. View at Publisher · View at Google Scholar
  27. B. S. Underwood and Y. R. Kim, “A four phase micro-mechanical model for asphalt mastic modulus,” Mechanics of Materials, vol. 75, no. 8, pp. 13–33, 2014. View at Publisher · View at Google Scholar
  28. A. F. Faheem and H. U. Bahia, “Conceptual phenomenological model for interaction of asphalt binders with mineral fillers,” Journal of the Association of Asphalt Paving Technologists, vol. 78, pp. 679–720, 2009. View at Google Scholar
  29. A. F. Faheem and H. U. Bahia, “Modelling of asphalt mastic in terms of filler-bitumen interaction,” Road Materials and Pavement Design, vol. 11, no. 1, pp. 281–303, 2010. View at Publisher · View at Google Scholar