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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 136971, 10 pages
http://dx.doi.org/10.1155/2015/136971
Research Article

A Compressive Damage Constitutive Model for Rock Mass with a Set of Nonpersistently Closed Joints under Biaxial Conditions

1College of Engineering & Technology, China University of Geosciences (Beijing), Beijing 100083, China
2School of Engineering, Tibet University, Lhasa, Xizang 850000, China
3Laboratoire de Géologie, CNRS, Ecole Normale Supérieure, 24 rue Lhomond, 75005 Paris, France

Received 6 October 2014; Revised 9 March 2015; Accepted 11 March 2015

Academic Editor: Chaudry Masood Khalique

Copyright © 2015 Hongyan Liu and Xiaoping Yuan. 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. M. Akin, “Slope stability problems and back analysis in heavily jointed rock mass: a case study from Manisa, Turkey,” Rock Mechanics and Rock Engineering, vol. 46, no. 2, pp. 359–371, 2013. View at Publisher · View at Google Scholar · View at Scopus
  2. T. T. Wang and T. H. Huang, “Anisotropic deformation of a circular tunnel excavated in a rock mass containing sets of ubiquitous joints: theory analysis and numerical modeling,” Rock Mechanics and Rock Engineering, vol. 47, no. 2, pp. 643–657, 2014. View at Publisher · View at Google Scholar · View at Scopus
  3. H. Bejari and J. Khademi Hamidi, “Simultaneous effects of joint spacing and orientation on TBM cutting efficiency in jointed rock masses,” Rock Mechanics and Rock Engineering, vol. 46, no. 4, pp. 897–907, 2013. View at Publisher · View at Google Scholar · View at Scopus
  4. L. N. Lens, E. Bittencourt, and V. M. R. d'Avila, “Constitutive models for cohesive zones in mixed-mode fracture of plain concrete,” Engineering Fracture Mechanics, vol. 76, no. 14, pp. 2281–2297, 2009. View at Publisher · View at Google Scholar · View at Scopus
  5. S. Marfia and E. Sacco, “A fracture evolution procedure for cohesive materials,” International Journal of Fracture, vol. 110, no. 3, pp. 241–261, 2001. View at Publisher · View at Google Scholar · View at Scopus
  6. J. E. Jennings, “A mathematical theory for the calculation of the stability of open cast mines,” in Proceedings of the Symposium on Theoretical Background to the Planning of Open Pit Mines, pp. 87–102, Johannesburg, South Africa, 1970.
  7. J. A. Hudson and S. D. Priest, “Discontinuity frequency in rock masses,” International Journal of Rock Mechanics and Mining Sciences and, vol. 20, no. 2, pp. 73–89, 1983. View at Publisher · View at Google Scholar · View at Scopus
  8. M. Oda, “Similarity rule of crack geometry in statistically homogeneous rock masses,” Mechanics of Materials, vol. 3, no. 2, pp. 119–129, 1984. View at Publisher · View at Google Scholar · View at Scopus
  9. T. Kawamoto, Y. Ichikawa, and T. Kyoya, “Deformation and fracturing behavior of discontinuous rock mass and damage mechanics theory,” International Journal for Numerical and Analytical Methods in Geomechanics, vol. 12, no. 1, pp. 1–30, 1988. View at Publisher · View at Google Scholar · View at Scopus
  10. G. Swoboda, X. P. Shen, and L. Rosas, “Damage model for jointed rock mass and its application to tunnelling,” Computers and Geotechnics, vol. 22, no. 3-4, pp. 183–203, 1998. View at Publisher · View at Google Scholar · View at Scopus
  11. D. Zhao, G. Swoboda, and F. Laabmayr, “Damage mechanics and its application for the design of an underground theater,” Tunnelling and Underground Space Technology, vol. 19, no. 6, pp. 567–575, 2004. View at Publisher · View at Google Scholar · View at Scopus
  12. H.-P. Yuan, P. Cao, and W.-Z. Xu, “Mechanism study on subcritical crack growth of flabby and intricate ore rock,” Transactions of Nonferrous Metals Society of China, vol. 16, no. 3, pp. 723–727, 2006. View at Publisher · View at Google Scholar · View at Scopus
  13. G. Swoboda and Q. Yang, “An energy-based damage model of geomaterials—I. Formulation and numerical results,” International Journal of Solids and Structures, vol. 36, no. 12, pp. 1719–1734, 1999. View at Publisher · View at Google Scholar · View at Scopus
  14. X. P. Zhou, Q. Ha, Y. X. Zhang, and K. S. Zhu, “Analysis of deformation localization and the complete stress–strain relation for brittle rock subjected to dynamic compressive loads,” International Journal of Rock Mechanics and Mining Sciences, vol. 41, no. 2, pp. 311–319, 2004. View at Publisher · View at Google Scholar · View at Scopus
  15. J. X. Zhang, T. F. Wong, and D. M. Davis, “Micromechanics of pressure-induced grain crushing in porous rocks,” Journal of Geophysical Research, vol. 95, no. B1, pp. 341–352, 1990. View at Publisher · View at Google Scholar · View at Scopus
  16. T. F. Wong, “A note on the propagation behavior of a crack nucleated by a dislocation pileup,” Journal of Geophysical Research, vol. 95, no. 6, pp. 8639–8646, 1990. View at Publisher · View at Google Scholar · View at Scopus
  17. M. F. Ashby and S. D. Hallam, “The failure of brittle solids containing small cracks under compressive stress states,” Acta Metallurgica, vol. 34, no. 3, pp. 497–510, 1986. View at Publisher · View at Google Scholar · View at Scopus
  18. A. Brencich and L. Gambarotta, “Isotropic damage model with different tensile-compressive response for brittle materials,” International Journal of Solids and Structures, vol. 38, no. 34-35, pp. 5865–5892, 2001. View at Publisher · View at Google Scholar · View at Scopus
  19. H. B. Li, J. Zhao, and T. J. Li, “Micromechanical modelling of the mechanical properties of a granite under dynamic uniaxial compressive loads,” International Journal of Rock Mechanics and Mining Sciences, vol. 37, no. 6, pp. 923–935, 2000. View at Publisher · View at Google Scholar · View at Scopus
  20. S. Li, W. Zhu, W. Chen, and J. Xu, “Mechanical model of multi-crack rock mass and its engineering application,” Acta Mechanica Sinica, vol. 16, no. 4, pp. 357–365, 2000. View at Google Scholar · View at Scopus
  21. X. P. Yuan, H. Y. Liu, and Z. Q. Wang, “An interacting crack-mechanics based model for elastoplastic damage model of rock-like materials under compression,” International Journal of Rock Mechanics and Mining Sciences, vol. 58, no. 3, pp. 92–102, 2013. View at Publisher · View at Google Scholar · View at Scopus
  22. N. Li, W. Chen, P. Zhang, and G. Swoboda, “The mechanical properties and a fatigue-damage model for jointed rock masses subjected to dynamic cyclical loading,” International Journal of Rock Mechanics and Mining Sciences, vol. 38, no. 7, pp. 1071–1079, 2001. View at Publisher · View at Google Scholar · View at Scopus
  23. V. K. Arora, Strength and deformation behavior of jointed rocks [Ph.D. thesis], Indian Institute of Technology, 1987.
  24. M. Prudencio and M. van Sint Jan, “Strength and failure modes of rock mass models with non-persistent joints,” International Journal of Rock Mechanics and Mining Sciences, vol. 44, no. 6, pp. 890–902, 2007. View at Publisher · View at Google Scholar · View at Scopus
  25. C. Huang and G. Subhash, “Influence of lateral confinement on dynamic damage evolution during uniaxial compressive response of brittle solids,” Journal of the Mechanics and Physics of Solids, vol. 51, no. 6, pp. 1089–1105, 2003. View at Publisher · View at Google Scholar · View at Scopus
  26. C. Huang, G. Subhash, and S. J. Vitton, “A dynamic damage growth model for uniaxial compressive response of rock aggregates,” Mechanics of Materials, vol. 34, no. 5, pp. 267–277, 2002. View at Publisher · View at Google Scholar · View at Scopus
  27. B. Paliwal and K. T. Ramesh, “An interacting micro-crack damage model for failure of brittle materials under compression,” Journal of the Mechanics and Physics of Solids, vol. 56, no. 3, pp. 896–923, 2008. View at Publisher · View at Google Scholar · View at Scopus
  28. S. Lee and G. Ravichandran, “Crack initiation in brittle solids under multiaxial compression,” Engineering Fracture Mechanics, vol. 70, no. 13, pp. 1645–1658, 2003. View at Publisher · View at Google Scholar · View at Scopus
  29. H. Horii and S. Nemat-Nasser, “Brittle failure in compression: splitting, faulting and brittle-ductile transition,” Philosophical Transactions of the Royal Society of London, vol. 319, no. 1549, pp. 337–374, 1986. View at Publisher · View at Google Scholar
  30. G. P. Cherepanov, Mechanics of Brittle Fracture, McGraw-Hill, New York, NY, USA, 1977.