Directly searching method for slip plane and its influential factors based on critical state of slope

Abstract

In order to determine the slip plane of slope directly by the calculation results of strength reduction method, and analyze the influential factors of slope stability, a numerical model was established in plane strain mode by FLAC3D for homogeneous soil slope, whose parameters were reduced until the slope reached the critical state. Then FISH program was used to get the location data of slip plane from displacement contour lines. Furthermore, the method to determine multiple slip planes was also proposed by setting different heights of elastic areas. The influential factors for the stability were analyzed, including cohesion, internal friction angle, and tensile strength. The calculation results show that with the increase of cohesion, failure mode of slope changes from shallow slipping to the deep slipping, while inclination of slip plane becomes slower and slipping volume becomes larger; with the increase of friction angle, failure mode of slope changes from deep slipping to shallow slipping, while slip plane becomes steeper and upper border of slip plane comes closer to the vertex of slope; the safety factor increases little and slip plane goes far away from vertex of slope with the increase of tensile strength.

Keywords

slope / strength reduction / slip plane / stability / influential factors

References

[1] SuY.-h., ZhaoM.-h., ZhangY.-ying.. Numerical method of slope failure probability based on Bishop model [J]. Journal of Central South University of Technology, 2008, 15(1): 100-105

[2] WanW., CaoP., FengT.. Improved genetic algorithm freely searching for dangerous slip surface of slope [J]. Journal of Central South University of Technology, 2005, 12(6): 749-752

[3] KimJ. Y., LeeS. R.. An improved search strategy for the critical slip surface using finite element stress fields [J]. Computers and Geotechnics, 1997, 21(4): 295-313

[4] MatsuiT., SanK. C.. Finite element slope stability analysis by shear strength reduction technique [J]. Soils and Foundations, 1992, 32(1): 59-70

[5] UgaiK., LeshchinskyD.. Three-dimensional limit equilibrium and finite element analysis: A comparison of results [J]. Soils and Foundations, 1995, 35(4): 1-7

[6] ChengY. M., LansivaaraT., WeiW. B.. Two-dimensional slope stability analysis by limit equilibrium and strength reduction methods [J]. Computers and Geotechnics, 2007, 34(3): 137-150

[7] GriffithsD. V., LaneP. A.. Slope stability analysis by finite elements [J]. Geotechnique, 1999, 49(3): 387-403

[8] Itasca Consulting Group.Theory and background [Z], 2002, Minnesota, Itasca Consulting Group

[9] CaiF., UgaiK.. Reinforcing mechanism of anchors in slopes: A numerical comparison of results of LEM and FEM [J]. Int J Numer Anal Meth Geomech, 2003, 27(7): 549-564

[10] DawsonE. M., RothW. H., DrescherA.. Slope stability analysis by strength reduction [J]. Geotechnique, 1999, 49(6): 835-840

[11] LinH., CaoP., GongF.-qiang.. Analysis of location and displacement mode of monitoring point in displacement mutation criterion [J]. Chinese Journal of Geotechnical Engineering, 2007, 29(9): 1433-1438

[12] ZhaoS.-y., ZhengY.-r., ZhangY.-fang.. Study on slope failure criterion in strength reduction finite element method [J]. Rock and Soil Mechanics, 2005, 26(2): 333-336

[13] LinH., CaoP., ZhaoY.-l., LiJ.-teng.. The application of strength reduction method by FLAC3D in Hoek-Brown criterion [J]. Journal of Central South University: Science and Technology, 2007, 38(6): 1219-1224

[14] YangX.-l., LiL., YinJ.-hua.. Seismic and static stability analysis for rock slopes by kinematical approach [J]. Geotechnique, 2004, 54(8): 543-549

[15] YangX.-l., YinJ.-hua.. Slope stability analysis with nonlinear failure criterion [J]. Journal of Engineering Mechanics, 2004, 130(3): 267-273

[16] YangX.-l., SuiZ.-rong.. Seismic failure mechanisms for loaded slopes with associated and non-associated flow rules [J]. Journal of Central South University of Technology, 2008, 15(2): 276-279

[17] YangX.-l., WangZ.-b., ZouJ.-f., LiL.. Bearing capacity of foundation on slope determined by energy dissipation method and model experiments [J]. Journal of Central South University of Technology, 2007, 14(1): 125-128

[18] WuC.-qiu.Theory and application study on the non-liear FEM for soil stability analysis[D], 2004, Wuhan, Wuhan University

[19] LiuM.-w., ZhengY.-ren.. Determination methods of multi-slip surfaces landslide based on strength reduction FEM [J]. Chinese Journal of Rock Mechanics and Engineering, 2006, 25(8): 1544-1549

[20] AbramsonL. W., LeeT. S., SharmaS., BoyceG. M.Slope stability and stabilization methods [M], 20022nd edNew York, Wiley Press