Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2015, Article ID 821093, 10 pages
http://dx.doi.org/10.1155/2015/821093
Research Article

A Multiparameter Damage Constitutive Model for Rock Based on Separation of Tension and Shear

1State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China
2Key Laboratory of Rock Mechanics in Hydraulic Structural Engineering, Wuhan University, Ministry of Education, Wuhan 430072, China

Received 17 March 2015; Revised 3 August 2015; Accepted 6 August 2015

Academic Editor: Marek Lefik

Copyright © 2015 YanHui Yuan and Ming Xiao. 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. Z.-Y. Ye, L. Hong, X.-L. Liu, and T.-B. Yin, “Constitutive model of rock based on microstructures simulation,” Journal of Central South University of Technology, vol. 15, no. 2, pp. 230–236, 2008. View at Publisher · View at Google Scholar · View at Scopus
  2. M. R. Salari, S. Saeb, K. J. Willam, S. J. Patchet, and R. C. Carrasco, “A coupled elastoplastic damage model for geomaterials,” Computer Methods in Applied Mechanics and Engineering, vol. 193, no. 27-29, pp. 2625–2643, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  3. G. D. Nguyen and A. M. Korsunsky, “Development of an approach to constitutive modelling of concrete: isotropic damage coupled with plasticity,” International Journal of Solids and Structures, vol. 45, no. 20, pp. 5483–5501, 2008. View at Publisher · View at Google Scholar · View at Scopus
  4. X. Li, W.-G. Cao, and Y.-H. Su, “A statistical damage constitutive model for softening behavior of rocks,” Engineering Geology, vol. 143-144, pp. 1–17, 2012. View at Publisher · View at Google Scholar · View at Scopus
  5. M. Xiao, “Analysis on stability of surrounding rock and damage fracture of concrete lining for high pressure branch pipes,” Journal of Wuhan University of Hydraulic and Electric Engineering, no. 6, pp. 594–599, 1995. View at Google Scholar
  6. G. Frantziskonis and C. S. Desai, “Constitutive model with strain softening,” International Journal of Solids and Structures, vol. 23, no. 6, pp. 733–750, 1987. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  7. D. Krajcinovic and S. Mastilovic, “Some fundamental issues of damage mechanics,” Mechanics of Materials, vol. 21, no. 3, pp. 217–230, 1995. View at Publisher · View at Google Scholar · View at Scopus
  8. L. Resende, “A Damage mechanics constitutive theory for the inelastic behaviour of concrete,” Computer Methods in Applied Mechanics and Engineering, vol. 60, no. 1, pp. 57–93, 1987. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  9. M. Jirásek, “Nonlocal models for damage and fracture: comparison of approaches,” International Journal of Solids and Structures, vol. 35, no. 31-32, pp. 4133–4145, 1998. View at Publisher · View at Google Scholar · View at Scopus
  10. M. Jirásek and S. Marfia, “Non-local damage model based on displacement averaging,” International Journal for Numerical Methods in Engineering, vol. 63, no. 1, pp. 77–102, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. 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 Google Scholar · View at Scopus
  12. J. Li and J. Y. Wu, “Elastoplacstic damage constitutive model for concrete based on damage energy release rates, part I: basic formulations,” China Civil Engineering Journal, no. 9, pp. 14–20, 2005. View at Google Scholar
  13. J. Y. Wu and J. Li, “Elastoplastic damage constitutive model for concrete based on damage energy release rates, part II: numerical algorithm and verifications,” China Civil Engineering Journal, no. 9, pp. 21–27, 2005. View at Google Scholar
  14. J. W. Ju, “On energy-based coupled elastoplastic damage theories: constitutive modeling and computational aspects,” International Journal of Solids and Structures, vol. 25, no. 7, pp. 803–833, 1989. View at Publisher · View at Google Scholar · View at Scopus
  15. Y. Q. Ying, “On rock plasticity, damage and their constitutive formulation,” Scientia Geologica Sinica, no. 1, pp. 63–70, 1995. View at Google Scholar
  16. J. C. Simo and J. W. Ju, “Strain- and stress-based continuum damage models-I. Formulation,” International Journal of Solids and Structures, vol. 23, no. 7, pp. 821–840, 1987. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  17. M. H. Yu, Y. W. Zan, W. Fan, J. Zhao, and Z. Z. Dong, “Anvances in strength theory of rock in 20 century—100 years in memory of the Mohr-Coulomb Strehgth theory,” Chinese Journal of Rock Mechanics and Engineering, no. 5, pp. 545–550, 2000. View at Google Scholar
  18. O. Zienkiewicz and G. Pande, “Some useful forms of isotropic yield surfaces for soil and rock mechanics,” in Finite Elements in Geomechanics, pp. 179–198, Wiley, Cambridge, UK, 1977. View at Google Scholar
  19. M. Xiao, Study on numerical analysis method of stability and supporting for underground caverns [Ph.D. thesis], Wuhan University, Wuhan, China, 2002.
  20. Y. Liu, A. M. Maniatty, and H. Antes, “Investigation of a Zienkiewicz–Pande yield surface and an elastic–viscoplastic boundary element formulation,” Engineering Analysis with Boundary Elements, vol. 24, no. 2, pp. 207–211, 2000. View at Publisher · View at Google Scholar · View at Scopus
  21. Y.-J. Li, D.-L. Zhang, and B.-G. Liu, “Development and verification of strain-softening model considering deformation modulus degradation in FLAC3D,” Rock and Soil Mechanics, vol. 32, no. 2, pp. 647–652, 2011. View at Google Scholar · View at Scopus
  22. M. S. Diederichs, P. K. Kaiser, and E. Eberhardt, “Damage initiation and propagation in hard rock during tunnelling and the influence of near-face stress rotation,” International Journal of Rock Mechanics and Mining Sciences, vol. 41, no. 5, pp. 785–812, 2004. View at Publisher · View at Google Scholar · View at Scopus
  23. J. Lee and G. L. Fenves, “A return-mapping algorithm for plastic-damage models: 3-D and plane stress formulation,” International Journal for Numerical Methods in Engineering, vol. 50, no. 2, pp. 487–506, 2001. View at Publisher · View at Google Scholar · View at Scopus
  24. J. Huang, Q. Peng, and M.-X. Chen, “An improved return-map stress update algorithm for finite deformation analysis of general isotropic elastoplastic geomaterials,” International Journal for Numerical and Analytical Methods in Geomechanics, vol. 38, no. 6, pp. 636–660, 2014. View at Publisher · View at Google Scholar · View at Scopus
  25. J. Zhou, X. Yang, W. Fu et al., “Experimental test and fracture damage mechanical characteristics of brittle rock under uniaxial cyclic loading and unloading conditions,” Chinese Journal of Rock Mechanics and Engineering, vol. 29, no. 6, pp. 1172–1183, 2010. View at Google Scholar · View at Scopus