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Shock and Vibration
Volume 2017, Article ID 8329545, 6 pages
https://doi.org/10.1155/2017/8329545
Research Article

A Damaged Constitutive Model for Rock under Dynamic and High Stress State

State Key Laboratory Base of Eco-Hydraulic Engineering in Arid Area, Xi’an University of Technology, 5 South Jinhua Road, Xi’an, Shaanxi 710048, China

Correspondence should be addressed to Yan-Long Li; nc.ude.tuax@gnolnayil

Received 8 November 2016; Revised 12 January 2017; Accepted 16 January 2017; Published 23 February 2017

Academic Editor: Salvatore Russo

Copyright © 2017 Yan-Long Li and Zong-Yuan Ma. 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. Hoek and E. T. Brown, “Empirical strength criterion for rock masses,” Journal of the Geotechnical Engineering Division, ASCE, vol. 106, no. 15715, pp. 1013–1035, 1980. View at Google Scholar · View at Scopus
  2. E. Hoek and E. T. Brown, “Practical estimates of rock mass strength,” International Journal of Rock Mechanics and Mining Sciences, vol. 34, no. 8, pp. 1165–1186, 1997. View at Publisher · View at Google Scholar · View at Scopus
  3. N. Barton, R. Lien, and J. Lunde, “Engineering classification of rock masses for the design of tunnel support,” Rock Mechanics, vol. 6, no. 4, pp. 189–236, 1974. View at Publisher · View at Google Scholar · View at Scopus
  4. M. Cai, P. K. Kaiser, H. Uno, Y. Tasaka, and M. Minami, “Estimation of rock mass deformation modulus and strength of jointed hard rock masses using the GSI system,” International Journal of Rock Mechanics and Mining Sciences, vol. 41, no. 1, pp. 3–19, 2004. View at Publisher · View at Google Scholar · View at Scopus
  5. V. Marinos, P. Marinos, and E. Hoek, “The geological strength index: applications and limitations,” Bulletin of Engineering Geology and the Environment, vol. 64, no. 1, pp. 55–65, 2005. View at Publisher · View at Google Scholar · View at Scopus
  6. K. Mogi, “Fracture and flow of rocks under high triaxial compression,” Journal of Geophysical Research, vol. 76, no. 5, pp. 1255–1269, 1971. View at Publisher · View at Google Scholar
  7. K. Mogi, “Fracture and flow of rocks,” Tectonophysics, vol. 13, no. 1–4, pp. 541–568, 1972. View at Publisher · View at Google Scholar · View at Scopus
  8. V. K. Papanikolaou and A. J. Kappos, “Confinement-sensitive plasticity constitutive model for concrete in triaxial compression,” International Journal of Solids and Structures, vol. 44, no. 21, pp. 7021–7048, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  9. G. R. Johnson and T. J. Holmquist, “A computational constitutive model for brittle materials subjected to large strains, high strain rates, and high pressures,” in Proceedings of EXPLOMET Conference, San Diego, M. A. Meyers, L. E. Murr, and K. P. Staudhammer, Eds., Marcel Dekker, New York, NY, USA, 1992. View at Google Scholar
  10. G. R. Johnson and T. J. Holmquist, “An improved computational constitutive model for brittle materials,” in High-Pressure Science and Technology, S. C. Schmidt, J. W. Shaner, G. A. Samara, and M. Ross, Eds., AIP Press, Melville, NY, USA, 1994. View at Google Scholar
  11. Y.-X. Wang, P. Cao, Y.-H. Huang, R. Chen, and J.-T. Li, “Nonlinear damage and failure behavior of brittle rock subjected to impact loading,” International Journal of Nonlinear Sciences and Numerical Simulation, vol. 13, no. 1, pp. 61–68, 2012. View at Publisher · View at Google Scholar · View at Scopus
  12. L. Scholtès and F.-V. Donzé, “A DEM model for soft and hard rocks: role of grain interlocking on strength,” Journal of the Mechanics and Physics of Solids, vol. 61, no. 2, pp. 352–369, 2013. View at Publisher · View at Google Scholar · View at Scopus
  13. L. Chen, C. P. Wang, J. F. Liu et al., “Damage and plastic deformation modeling of beishan granite under compressive stress conditions,” Rock Mechanics and Rock Engineering, vol. 48, no. 4, pp. 1623–1633, 2015. View at Publisher · View at Google Scholar · View at Scopus
  14. G. R. Johnson, “Numerical algorithms and material models for high-velocity impact computations,” International Journal of Impact Engineering, vol. 38, no. 6, pp. 456–472, 2011. View at Publisher · View at Google Scholar · View at Scopus
  15. Q. B. Zhang and J. Zhao, “A review of dynamic experimental techniques and mechanical behaviour of rock materials,” Rock Mechanics and Rock Engineering, vol. 47, no. 4, pp. 1411–1478, 2014. View at Publisher · View at Google Scholar · View at Scopus
  16. L. X. Xie, W. B. Lu, Q. B. Zhang, Q. H. Jiang, G. H. Wang, and J. Zhao, “Damage evolution mechanisms of rock in deep tunnels induced by cut blasting,” Tunnelling and Underground Space Technology, vol. 58, pp. 257–270, 2016. View at Publisher · View at Google Scholar · View at Scopus
  17. L. M. Kachanov, “Time of the rupture process under creep condition,” Izvestiia Akademii Nauk SSSR, Otdelenie Teckhnicheskikh Nauk, vol. 8, no. 1, pp. 26–31, 1958. View at Google Scholar
  18. J. Lemaitre, “Evaluation of dissipation and damage in metals submitted to dynamic loading,” in Proceedings of the International Conference on Mechanical Behavior of Materials (ICM-1 '71), Kyoto, Japan, 1971.
  19. H.-F. Ma, H.-Q. Chen, and B.-K. Li, “Influence of strain rate effect on dynamic bending strength of concrete,” Journal of Hydraulic Engineering, vol. 36, no. 1, pp. 69–76, 2005 (Chinese). View at Google Scholar · View at Scopus
  20. J. Lee and G. L. Fenves, “Plastic-damage model for cyclic loading of concrete structures,” Journal of Engineering Mechanics, vol. 124, no. 8, pp. 892–900, 1998. View at Publisher · View at Google Scholar · View at Scopus
  21. W. Wu, G. Jiang, S. Huang, and C. J. Leo, “Vertical dynamic response of pile embedded in layered transversely isotropic soil,” Mathematical Problems in Engineering, vol. 2014, Article ID 126916, 12 pages, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus