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Original Articles

An elastoplastic coupling mechanical model for hard and brittle marble with consideration of the first stress invariant effect

, , , , &
Pages 405-428 | Received 05 Nov 2015, Accepted 23 May 2016, Published online: 16 Jun 2016

References

  • Alejano, L. R., & Alonso, E. (2005). Considerations of the dilatancy angle in rocks and rock masses. International Journal of Rock Mechanics and Mining Sciences, 42, 481–507.10.1016/j.ijrmms.2005.01.003
  • Brown, E. T., Bray, J. W., & Santarelli, F. J. (1989). Influence of stress-dependent elastic moduli on stresses and strains around axisymmetric boreholes. Rock Mechanics and Rock Engineering, 22, 189–203.10.1007/BF01470986
  • Chen, L., Shao, J. F., Zhu, Q. Z., Duveau, ​G.  (2012). Induced anisotropic damage and plasticity in initially anisotropic sedimentary rocks. International Journal of Rock Mechanics and Mining Sciences, 51, 13–23.10.1016/j.ijrmms.2012.01.013
  • Crouch, S. L. (1970). Experimental determination of volumetric strains in failed rock. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 7, 589–603.
  • Dafalias, Y. F. (1977a). Il’iushin’s postulate and resulting thermodynamic condition on elastoplastic coupling. International Journal of Solids and Structures, 13, 239–251.10.1016/0020-7683(77)90121-4
  • Dafalias, Y. F. (1977b). Elasto-plastic coupling within a thermodynamic strain space formulation of plasticity. International Journal of Non-Linear Mechanics, 12, 327–337.10.1016/0020-7462(77)90009-9
  • Elliott, G. M., & Brown, E. T. (1986). Further development of a plasticity approach to yield in porous rock. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 23, 151–156.
  • Hajiabdolmajid, V. (2001). Mobilization of strength in brittle failure of rock. Kingston: Department of Mining Engineering, Queen’s University.
  • Lade, P. V. (1988). Single hardening constitutive model for frictional materials II. Yield criterion and plastic work contours. Computers and Geotechnics, 6, 13–29.10.1016/0266-352X(88)90053-5
  • Li, Z., Zhou, H., Song, Y. Z., Zhang, C. Q., HU, Q. Z. (2013). Mechanical model of chlorite schist considering hardening-softening and dilatancy characteristics. Chinese Journal of Rock and Soil Mechanics, 34, 404–410. (in Chinese).
  • Lionço, A., & Assis, A. (2000). Behaviour of deep shafts in rock considering nonlinear elastic models. Tunnelling and Underground Space Technology, 15, 445–451.10.1016/S0886-7798(01)00013-X
  • Lu, Y. D., Ge, X. R., Jiang, Y., Ren, J. X. (2004). Study on conventional triaxial compression test of complete process for Marble and its constitutive equation. Chinese Journal of Rock Mechanics and Engineering, 23, 2489–2493. (in Chinese).
  • Maier, G., & Hueckel, T. (1979). Nonassociated and coupled flow rules of elastoplasticity for rock-like materials. International Journal of Rock Mechanics and Mining Sciences, 16, 77–92.10.1016/0148-9062(79)91445-1
  • Martin, C. D., & Chandler, N. A. (1994). The progressive fracture of Lac du Bonnet granite. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 31, 643–659.10.1016/0148-9062(94)90005-1
  • Russenes, B. F. (1974). Analysis of rock spalling for tunnels in steep valley sides (in Nonvegian) (MSc thesis). Norwegian lnstitute of Technology, Department of Geology, Trondheim, 247 pp.
  • Santarelli, F., Brown, E. T., & Maury, V. (1986). Analysis of borehole stresses using pressure-dependent linear elasticity. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 23, 445–449.
  • Shao, J. F., & Henry, J. P. (1990). Validation of an elastoplastic model for chalk. Computers and Geotechnics, 9, 257–272.10.1016/0266-352X(90)90041-S
  • Shao, J. F., & Henry, J. P. (1991). Development of an elastoplastic model for porous rock. International Journal of Plasticity, 7(1–2), 1–13.10.1016/0749-6419(91)90002-G
  • Shao, J. F., Bederiat, M., & Schroeder, Ch. (1994). Elasto-viscoplastic modelling of a porous chalk. Mechanics Research Communications, 21, 63–75.10.1016/0093-6413(94)90010-8
  • Vermeer, P. A., & Borst, R. D. (1984). Non-associated plasticity for soils, concrete and rock. Heron, 29(3), 1–65.
  • Xie, S. Y., & Shao, J. F. (2012). Experimental investigation and poroplastic modelling of saturated porous geomaterials. International Journal of Plasticity, 39, 27–45.10.1016/j.ijplas.2012.05.007
  • You, M. Q. (2003). Effect of confining pressure on the young’s modulus of rock specimen. Chinese Journal of Rock Mechanics and Engineering, 22, 43–50 . (in Chinese).
  • You, M. Q. (2007). Mechanical properties of rocks. Beijing: Geological Publishing House. (in Chinese).
  • Yin, Y. Q., & Qu, S. N. (1982). Elastoplastic coupling and generalized normality rule. Chinese Journal of Acta Mechanica Sinica, 1, 63–70. (in Chinese).
  • Zhang, K., Zhou, H., Feng, X. T., Shao, J. F., Yang, Y. S., Zhang, Y. G. (2010). Experimental research on elasto-plastic coupling character of marble. Chinese Journal of Rock and Soil Mechanics, 31, 2425–2434 . (in Chinese).
  • Zhang, C. Q., Zhou, H., Feng, X. T., Huang, S. L. (2010). A new interpretation for the polyaxial strength effect of rock. International Journal of Rock Mechanics and Mining Sciences, 47, 496–501.10.1016/j.ijrmms.2010.01.003
  • Zhang, C. Q., Zhou, H., & Feng, X. T. (2011). An index for estimating the stability of brittle surrounding rock mass: FAI and its engineering application. Rock Mechanics and Rock Engineering, 44, 401–414.10.1007/s00603-011-0150-9
  • Zhang, C. Q., Feng, X. T., Zhou, H., Qiu, S. L., Wu, W. P. (2012). Case histories of four extremely intense rockbursts in deep tunnels. Rock Mechanics and Rock Engineering, 45, 275–288.10.1007/s00603-011-0218-6
  • Zhao, X. G., & Cai, M. (2010). A mobilized dilation angle model for rocks. International Journal of Rock Mechanics and Mining Sciences, 47, 368–384.10.1016/j.ijrmms.2009.12.007
  • Zheng, Y. R., & Kong, L. (2010). Geotechnical plastic mechanics. Beijing: China Architecture and Building Press . (in Chinese).
  • Zhou, H., Zhang, K., Feng, X. T., Shao, J. F., Qiu, S. L. (2010). Elastoplastic coupling mechanical model for brittle marble. Chinese Journal of Rock Mechanics and Engineering, 29, 2398–2409 . (in Chinese).
  • Zhou, H., Yang, F. J., Zhang, C. Q., Xu, R. C., Zhang, K. (2012). An elastoplastic coupling mechanical model for marble considering confining pressure effect. Chinese Journal of Rock Mechanics and Engineering, 31, 2389–2399 . (in Chinese).

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