Geomechanics and Engineering

  • 제17권6호
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  • Pages.515-525
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  • 2019
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  • 2005-307X(pISSN)
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  • 2092-6219(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Estimation of 3D active earth pressure under nonlinear strength condition

  • Zhang, D.B. (Work Safety Key Lab on Prevention and Control of Gas and Roof Disasters for Southern Coal Mines, Hunan Provincial Key Laboratory of Safe Mining Techniques of Coal Mines, Hunan University of Science and Technology) ;
  • Jiang, Y. (School of Civil Engineering, Central South University) ;
  • Yang, X.L. (School of Civil Engineering, Central South University)
  • 투고 : 2019.01.02
  • 심사 : 2019.03.05
  • 발행 : 2019.04.30
⟨ 이전 논문 다음 논문 ⟩

초록

The calculation of active earth pressure behind retaining wall is a typical three-dimensional (3D) problem with spatial effects. With the help of limit analysis, this paper firstly deduces the internal energy dissipation power equations and various external forces power equations of the 3D retaining wall under the nonlinear strength condition, such as to establish the work-energy balance equation. The pseudo-static method is used to consider the effect of earthquake on active earth pressure in horizontal state. The failure mode is a 3D curvilinear cone failure mechanism. For the different width of the retaining wall, the plane strain block is inserted in the symmetric plane. By optimizing all parameters, the maximum value of active earth pressure is calculated. In order to verify the validity of the new expressions obtained by the paper, the solutions are compared with previously published solutions. Agreement shows that the new expressions are effective. The results of different parameters are given in the forms of figures to analysis the influence caused by nonlinear strength parameters.

키워드

과제정보

연구 과제 주관 기관 : Central South University

참고문헌

  1. Aminpour, M.M., Maleki, M. and Ghanbari, A. (2017), "Investigation of the effect of surcharge on behavior of soil slopes", Geomech. Eng., 13(4), 653-669. https://doi.org/10.12989/gae.2017.13.4.653
  2. Antao, A.N., Santana, T., da Silva, M.V. and Guerra, N.M. (2016), "3Dal active earth pressure coefficients by upper bound numerical limit analysis", Comput. Geotech., 79, 96-104. https://doi.org/10.1016/j.compgeo.2016.05.022
  3. Gao, Y.F., Wu, D. and Zhang, F. (2015), "Effects of nonlinear failure criterion on the 3D stability analysis of uniform slopes", Eng. Geol., 198, 87-93. https://doi.org/10.1016/j.enggeo.2015.09.010
  4. Jo, S.B., Hu, J.G., Lee, J.S. and Kim, D.S. (2017), "Evaluation of the seismic earth pressure for inverted T-shape stiff retaining wall in cohesionless soils via dynamic centrifuge", Soil Dyn. Earthq. Eng., 92, 345-57. https://doi.org/10.1016/j.soildyn.2016.10.009
  5. Li, T.Z. and Yang, X.L. (2018a), "Probabilistic stability analysis of subway tunnels combining multiple failure mechanisms and response surface method", Int. J. Geomech., 18(12), 04018167. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001315
  6. Li, Y.X. and Yang, X.L. (2018b), "Three-dimensional seismic displacement analysis of rock slopes based on Hoek-Brown failure criterion", KSCE J. Civ. Eng., 22(11), 4334-4344. https://doi.org/10.1007/s12205-018-3022-y
  7. Li, Y.X. and Yang, X.L. (2019a), "Seismic displacement of 3D slope reinforced by piles with nonlinear failure criterion", Int. J. Geomech., 19(6), 04019042. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001411
  8. Li, Y.X. and Yang, X.L. (2019b), "Soil-slope stability considering effect of soil-strength nonlinearity", Int. J. Geomech., 19(3), 04018201. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001355
  9. Li, Z.W. and Yang, X.L. (2019c), "Kinematical analysis of active earth pressure considering tension crack, pore-water pressure and soil nonlinearity", KSCE J. Civ. Eng., 23(1), 56-62. https://doi.org/10.1007/s12205-018-1098-z
  10. Li, Z.W. and Yang, X.L. (2018c), "Active earth pressure for soils with tension cracks under steady unsaturated flow conditions", Can. Geotech. J., 55(12),1850-1859. https://doi.org/10.1139/cgj-2017-0713
  11. Liu, F.Q., Wang, J.H. and Zhang, L.L. (2009), "Axi-symmetric active earth pressure obtained by the slip line method with a general tangential stress coefficient", Comput. Geotech., 36, 352-358. https://doi.org/10.1016/j.compgeo.2008.02.002
  12. Luo, W.J. and Yang, X.L. (2018), "3D stability of shallow cavity roof with arbitrary profile under influence of pore water pressure", Geomech. Eng., 16(6), 569-575. https://doi.org/10.12989/gae.2018.16.6.569
  13. Michalowski, R.L. and Drescher, A. (2009), "3D stability of slopes and excavations", Geotechnique, 10, 839-850. https://doi.org/10.1680/geot.8.P.136
  14. Nian, T.K., Liu, B., Han, J. and Huang, R.Q. (2014), "Effect of seismic acceleration directions on dynamic earth pressures in retaining structures", Geomech. Eng., 7(3), 263-277. https://doi.org/10.12989/gae.2014.7.3.263
  15. Pain, A., Chen, Q.S., Nimbalkar, S. and Zhou, Y.T. (2017), "Evaluation of seismic passive earth pressure of inclined rigid retaining wall considering soil arching effect", Soil Dyn. Earthq. Eng., 100, 286-295. https://doi.org/10.1016/j.soildyn.2017.06.011
  16. Pain, A., Choudhury, D. and Bhattacharyya, S.K. (2015), "Seismic stability of retaining wall-soil sliding interaction using modified pseudo-dynamic method", Geotech. Lett., 5(1), 56-61. https://doi.org/10.1680/geolett.14.00116
  17. Pain, A., Choudhury, D. and Bhattacharyya, S.K. (2017), "Seismic rotational stability of gravity retaining walls by modified pseudo-dynamic method", Soil Dyn. Earthq. Eng., 94, 244-253. https://doi.org/10.1016/j.soildyn.2017.01.016
  18. Pain, A., Ramakrishna Annapareddy, V.S. and Nimbalkar, S. (2018), "Seismic active thrust on rigid retaining wall using strain dependent dynamic properties" Int. J. Geomech., 18(12), 06018034. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001331
  19. Rajesh, B.G. and Choudhury, D. (2016), "Generalized seismic active thrust on a retaining wall with submerged backfill using a modified pseudodynamic method", Int. J. Geomech., 16(3), 06016023.
  20. Rao, P.P., Chen, Q.S., Zhou, Y.T., Nimbalkar, S. and Chiaro, G. (2016), "Determination of active earth pressure on rigid retaining wall considering arching effect in cohesive backfill soil", Int. J. Geomech., 16(3), 04015082. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000589
  21. Santos, P.J. and Barros, P.L. (2015), "Active earth pressure due to soil mass partially subjected to water seepage", Can. Geotech. J., 52(11),1886-91. https://doi.org/10.1139/cgj-2014-0367
  22. Saran, S. and Gupta, R.P. (2003), "Seismic earth pressures behinds retaining walls", Ind. Geotech. J., 33(3), 195-213.
  23. Shukla, S.J., Gupta, S.K. and Sivakugan, N. (2009), "Active earth pressure on retaining wall for $c-\varphi$ soil backfill under seismic loading conditions", J. Geotech. Geoenviron. Eng., 235(5), 590-596.
  24. Ugai, K. and Leshchinsky, D.O.V. (1995), "3D limit equilibrium and finite element analyses: a comparison of results", Soil. Found., 35(4), 1-7. https://doi.org/10.3208/sandf.35.4_1
  25. Xu, J.S. and Yang, X.L. (2019), "Seismic stability of 3D soil slope reinforced by geosynthetic with nonlinear failure criterion", Soil Dyn. Earthq. Eng., 118, 86-97. https://doi.org/10.1016/j.soildyn.2018.12.019
  26. Xu, J.S., Li, Y.X. and Yang, X.L. (2018), "Seismic and static 3D stability of two-stage slope considering joined influences of nonlinearity and dilatancy", KSCE J. Civ. Eng., 22(10), 3827-3836. https://doi.org/10.1007/s12205-018-0636-z
  27. Yang, X.L. and Chen, J.H. (2019), "Factor of safety of geosynthetic-reinforced slope in unsaturated soils", Int. J. Geomech., 19(6), 04019041. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001399
  28. Yang, X.L. and Li, Z.W. (2018), "Comparison of factors of safety using a 3D failure mechanism with kinematic approach", Int. J. Geomech., 18(9), 04018107. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001235
  29. Yang, X.L. and Liu, Z.A. (2018), "Reliability analysis of threedimensional rock slope", Geomech. Eng., 15(6), 1183-1191. https://doi.org/10.12989/gae.2018.15.6.1183
  30. Yang, X.L. and Zhang, S. (2019), "Seismic active earth pressure for soils with tension cracks", Int. J. Geomech., 19(6), 06019009. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001414
  31. Zhang, X.L. and Chen, W.F. (1987), "Stability analysis of slopes with general nonlinear failure criterion", Int. J. Numer. Anal. Meth. Geomech., 11(1), 33-50. https://doi.org/10.1002/nag.1610110104
  32. Zheng, D.F., Nian, T.K., Liu, B., Yin, P. and Song, L. (2015), "Coefficient charts for active earth pressure under combined loadings", Geomech. Eng., 8(3), 461-476. https://doi.org/10.12989/gae.2015.8.3.461
  33. Zhu, J.Q. and Yang, X.L. (2018), "Probabilistic stability analysis of rock slopes with cracks", Geomech. Eng., 16(6), 655-667. https://doi.org/10.12989/gae.2018.16.6.655
  34. Zou, J.F. and Xia, Z.Q. (2016), "Theoretical solutions for displacement and stress of a circular opening reinforced by grouted rock bolt", Geomech. Eng., 11(3), 439-455. https://doi.org/10.12989/gae.2016.11.3.439

피인용 문헌

  1. Stability Analysis of Tunnel Face in Nonlinear Soil under Seepage Flow vol.23, pp.10, 2019, https://doi.org/10.1007/s12205-019-0601-5
  2. Experimental and numerical study on behavior of retaining structure with limited soil vol.26, pp.1, 2019, https://doi.org/10.12989/gae.2021.26.1.077
  3. Modified pseudo-dynamic analysis of rigid gravity retaining wall with cohesion-less backfill and uniform surcharge vol.26, pp.5, 2019, https://doi.org/10.12989/gae.2021.26.5.453