Geomechanics and Engineering

  • 제12권3호
  • /
  • Pages.347-360
  • /
  • 2017
  • /
  • 2005-307X(pISSN)
  • /
  • 2092-6219(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

A new approach for the cylindrical cavity expansion problem incorporating deformation dependent of intermediate principal stress

  • 투고 : 2016.02.21
  • 심사 : 2016.11.10
  • 발행 : 2017.03.30
⟨ 이전 논문 다음 논문 ⟩

초록

The problem of cylindrical cavity expansion incorporating deformation dependent of intermediate principal stress in rock or soil mass is investigated in the paper. Assumptions that the initial axial total strain is a non-zero constant and the axial plastic strain is not zero are defined to obtain the numerical solution of strain which incorporates deformation-dependent intermediate principal stress. The numerical solution of plastic strains are achieved by the 3-D plastic potential functions based on the M-C and generalized H-B failure criteria, respectively. The intermediate principal stress is derived with the Hook's law and plastic strains. Solution of limited expansion pressure, stress and strain during cylindrical cavity expanding are given and the corresponding calculation approaches are also presented, which the axial stress and strain are incorporated. Validation of the proposed approach is conducted by the published results.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China

참고문헌

  1. Alonso, E., Alejano, L.R., Varas, F., Fdez-Manin, G. and Carranza-Torres, C. (2005), "Ground response curves for rock masses exhibiting strain-softening behavior", Int. J. Numer. Anal. Method. Geomech., 27(13), 1153-1185. https://doi.org/10.1002/nag.315
  2. Carter, J.P., Booker, J.R. and Yeung, S.K. (1985), "Cavity expansion in cohesive frictional soils", Geotechnique, 36(3), 349-358.
  3. Chen, S.L. and Abousleiman, Y.N. (2012a), "Exact drained solution for cylindrical cavity expansion in modified Cam Clay soil", Geotechnique, 63(6), 510-517.
  4. Chen, S.L. and Abousleiman, Y.N. (2012b), "Exact undrained elasto-plastic solution for cylindrical cavity expansion in modified Cam Clay soil", Geotechnique, 62(5), 447-456. https://doi.org/10.1680/geot.11.P.027
  5. Mohammadi, M. and Tavakoli, H. (2015), "Comparing the generalized Hoek-Brown and Mohr-Coulomb failure criteria for stress analysis on the rocks failure plane", Geomech. Eng., Int. J., 9(1), 115-124.
  6. Ning, J.G., Liu, X.S., Tan, Y.L., Wang, J. and Tian, C.L. (2015), "Relationship of box counting of fractured rock mass with Hoek-Brown parameters using particle flow simulation", Geomech. Eng., Int. J., 9(5), 619-629. https://doi.org/10.12989/gae.2015.9.5.619
  7. Pan, X.D. and Brown, E.T. (1996), "Influence of axial stress and dilatancy on rock tunnel stability", J. Geotech. Eng., 122(2), 139-146. https://doi.org/10.1061/(ASCE)0733-9410(1996)122:2(139)
  8. Sharan, S.K. (2005), "Exact and approximate solutions for displacements around circular openings in elastic-brittle-plastic Hoek-Brown rock", Int. J. Rock Mech. Min. Sci., 42(4), 542-549. https://doi.org/10.1016/j.ijrmms.2005.03.019
  9. Vesic, A.S. (1972), "Expansion of cavities in infinite soil mass", J. Geotech. Eng., 98(SM3), 265-290.
  10. Wang, S., Yin, X., Tang, H. and Ge, X. (2010), "A new approach for analysing circular tunnel in strainsoftening rock masses", Int. J. Rock Mech. Min. Sci., 47(1), 170-178. https://doi.org/10.1016/j.ijrmms.2009.02.011
  11. Wang, S.L., Yin, S.D. and Wu, Z.J. (2012), "Strain-softening analysis of a spherical cavity", Int. J. Numer. Anal. Method. Geomech., 36(2), 182-202. https://doi.org/10.1002/nag.1002
  12. Xiao, Y. and Liu, H. (2016), "Elastoplastic constitutive model for rockfill materials considering particle breakage", Int. J. Geomech., 17(1), 04016041.
  13. Xiao, Y., Liu, H., Chen, Y. and Jiang, J. (2014a), "Bounding surface model for rockfill materials dependent on density and pressure under triaxial stress conditions", J. Eng. Mech., 140(4), 8087-8096.
  14. Xiao, Y., Liu, H., Chen, Y. and Jiang, J. (2014b), "Bounding surface plasticity model incorporating the state pressure index for rockfill materials", J. Eng. Mech., 140(11), 04014087. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000802
  15. Xiao, Y., Liu, H., Chen, Y., Jiang, J. and Zhang, W. (2015), "State-dependent constitutive model for rockfill materials", Int. J. Geomech., 15(5), 969-970.
  16. Yang, X.L. and Huang, F. (2013), "Three-dimensional failure mechanism of a rectangular cavity in a Hoek-Brown rock medium", Int. J. Rock Mech. Min. Sci., 61(10), 189-195.
  17. Yang, X.L. and Qin, C.B. (2014), "Limit analysis of rectangular cavity subjected to seepage forces based on Hoek-Brown failure criteria", Geomech. Eng., Int. J., 6(5), 503-515. https://doi.org/10.12989/gae.2014.6.5.503
  18. Yang, X.L. and Yin, J.H. (2010), "Slope equivalent Mohr-Coulomb strength parameters for rock masses satisfying the Hoek-Brown criteria", Rock Mech. Rock Eng., 39(4), 505-511.
  19. Yu, H.S. (2000), Cavity Expansion Methods in Geomechanics, Springer Netherlands.
  20. Zhou, H., Liu, H.L., Kong, G.Q. and Huang, X. (2014), "Analytical solution of undrained cylindrical cavity expansion in saturated soil under anisotropic initial stress", Comput. Geotech., 55(2), 232-239. https://doi.org/10.1016/j.compgeo.2013.09.011
  21. Zhou, H., Kong, G., Li, P. and Liu, H. (2015), "Flat cavity expansion: Theoretical model and application to the interpretation of the flat dilatometer test", J. Eng. Mech., 142(1), 1-7.
  22. Zhou, H., Kong, G. and Liu, H. (2016), "A semi-analytical solution for cylindrical cavity expansion in elastic-perfectly plastic soil under biaxial in situ stress field", Geotechnique, 66(9), 1-3. https://doi.org/10.1680/jgeot.14.P.234
  23. Zou, J.F. and Li, S.S. (2015), "Theoretical solution for displacement and stress in strain-softening surrounding rock under hydraulic-mechanical coupling", Sci. China Technol. Sci., 58(8), 1401-1413. https://doi.org/10.1007/s11431-015-5885-1
  24. Zou, J.F. and He, Z. (2016), "Numerical approach for strain-softening rock with axial stress", Proceedings of the Institution of Civil Engineers - Geotechnical Engineering, 169(3), 276-290. https://doi.org/10.1680/jgeen.15.00097
  25. Zou, J.F. and Su, Y. (2016), "Theoretical solutions of a circular tunnel with the influence of the out-of-plane stress based on the generalized Hoek-Brown failure criteria", Int. J. Geomech., 16(3), 06015006. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000547
  26. Zou, J.F. and Zuo, S.Q. (2017), "Similarity solution for the synchronous grouting of shield tunnels under the non-axisymmetric displacement boundary on vertical surface", Adv. Appl. Math. Mech., 9(1), 205-232. https://doi.org/10.4208/aamm.2016.m1479
  27. Zou, J.F., Xia, Z.Q. and Dan, H.C. (2016), "Theoretical solutions for displacement and stress of a circular opening reinforced by grouted rockbolt", Geomech. Eng., Int. J., 11(3), 439-455. https://doi.org/10.12989/gae.2016.11.3.439

피인용 문헌

  1. Safety factor assessment of a tunnel face reinforced by horizontal dowels vol.142, 2017, https://doi.org/10.1016/j.engstruct.2017.03.056
  2. A new procedure for ground response curve (GRC) in strain-softening surrounding rock vol.89, 2017, https://doi.org/10.1016/j.compgeo.2017.04.009
  3. Influence of stress anisotropy on the cylindrical cavity expansion in undrained elastic-perfectly plastic soil 2017, https://doi.org/10.1007/s11431-017-9127-7
  4. Seismic and Static Stability Analysis for 3D Reinforced Slope in Nonhomogeneous and Anisotropic Soils vol.18, pp.7, 2018, https://doi.org/10.1061/(ASCE)GM.1943-5622.0001177
  5. Seismic and Static 3D Stability of Two-stage Slope Considering Joined Influences of Nonlinearity and Dilatancy pp.1976-3808, 2018, https://doi.org/10.1007/s12205-018-0636-z
  6. An improved numerical approach in surrounding rock incorporating rockbolt effectiveness and seepage force vol.13, pp.3, 2018, https://doi.org/10.1007/s11440-018-0635-8
  7. An improved radius-incremental-approach of stress and displacement for strain-softening surrounding rock considering hydraulic-mechanical coupling vol.16, pp.1, 2018, https://doi.org/10.12989/gae.2018.16.1.059
  8. An improved model of compaction grouting considering three-dimensional shearing failure and its engineering application vol.19, pp.3, 2019, https://doi.org/10.12989/gae.2019.19.3.217