Stability analysis for natural slope by kinematical approach

Abstract

The stability of natural slope was analyzed on the basis of limit analysis. The sliding model of a kind of natural slope was presented. A new kinematically admissible velocity field for the new sliding model was constructed. The stability factor formulation by the upper bound theorem leads to a classical nonlinear programming problem, when the external work rate and internal energy dissipation were solved, and the constraint condition of the programming problem was given. The upper bound optimization problem can be solved efficiently by applying a nonlinear SQP algorithm, and stability factor was obtained, which agrees well with previous achievements.

Keywords

natural slope / stability analysis / limit analysis / upper bound theorem

References

[1] FarzanehO, FaradjollahA. Three-dimensional analysis of non-homogeneous slopes [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2003, 129: 137-145

[2] GriffithsD V, MarquezR. Three-dimensional slope stability analysis by elasto-plastic finite elements [J]. Geotechnique, 2007, 57(6): 537-546

[3] AusilioE, ConteE, DenteG. Stability analysis of slopes reinforced with piles [J]. Computers and Geotechnics, ASCE, 2001, 28(8): 591-611

[4] YangX L, ZouJ F. Cavity expansion analysis with non-linear failure criterion [J]. Proceedings of the Institution of Civil Engineers-Geotechnical Engineering, 2011, 164(1): 41-49

[5] YangX-l, HuangF, WangJ-ming. Modified image analytical solutions for ground displacement using nonuniform convergence model [J]. Journal of Central South University of Technology, 2011, 18(3): 859-865

[6] YangX-l, HuangFu. Influences of strain softening and seepage on elastic and plastic solutions of circular openings in nonlinear rock masses [J]. Journal of Central South University of Technology, 2010, 17(3): 621-627

[7] YangX L, HuangF. Three-dimensional failure mechanism of a rectangular cavity in a Hoek-Brown rock medium [J]. International Journal of Rock Mechanics and Mining Sciences, 2013, 61: 189-195

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

[9] MichalowskiR L. Soil reinforcement for seismic design of geotechnical structures [J]. Computers and Geotechnics, 1998, 23(1/2): 1-17

[10] YangX L, YinJ H. Slope stability analysis with nonlinear failure criterion [J]. Journal of Engineering Mechanics, ASCE, 2004, 130(3): 267-273

[11] YangX-l, JinQ-y, MaJ-qiu. Pressure from surrounding rock of three shallow tunnels with large section and small spacing [J]. Journal of Central South University of Technology, 2012, 19(8): 2380-2385

[12] YangX L, HuangF. Collapse mechanism of shallow tunnel based on nonlinear Hoek-Brown failure criterion [J]. Tunnelling and Underground Space Technology, 2011, 26(6): 686-691

[13] YangX L, WangJ M. Ground movement prediction for tunnels using simplified procedure [J]. Tunnelling and Underground Space Technology, 2011, 26(3): 462-471

[14] ChenW FLimit analysis and soil plasticity [M], 1975, Amsterdam, Elsevier: 23-25

[15] MichalowskiR L. Slope stability analysis: A kinematical approach [J]. Géotechnique, 1995, 45(2): 283-293

[16] MichalowskiR L. Soil reinforcement for seismic design of geotechnical structures [J]. Computers and Geotechnics, 1998, 23(1): 1-17

[17] DonaldI B, ChenZ Y. Slope stability analysis by the upper bound approach: Fundamentals and methods [J]. Canadian Geotechnical Journal, 1997, 34(6): 853-862

[18] YangX L. Seismic displacement of rock slopes with nonlinear Hoek-Brown failure criterion [J]. International Journal of Rock Mechanics and Mining Sciences, 2007, 44(6): 948-953

[19] YangX L, ZouJ F. Stability factors for rock slopes subjected to pore water pressure based on the Hoek-Brown failure criterion [J]. International Journal of Rock Mechanics and Mining Sciences, 2006, 43(7): 1146-1152

[20] YangX L, YinJ H. Slope equivalent Mohr-Coulomb strength parameters for rock masses satisfying the Hoek-Brown criterion [J]. Rock Mechanics and Rock Engineering, 2010, 43: 505-511

[21] MichalowskiR L, DrescherA. Three-dimensional stability of slopes and excavations [J]. Géotechnique, 2009, 59(10): 839-850

[22] JiangJ C, YamagamiT. Charts for estimating strength parameters from slips in homogeneous slopes [J]. Computers and Geotechnics, 2006, 33: 294-304

[23] LiuH-q, YinZ-ze. Research on analytical method of stability of expansive soil slope [J]. Rock and Soil Mechanics, 2010, 31(5): 1545-1554

[24] YuanC-h, ZhouJ, YangM-liang. Treatment of expansive soil slopes beside highways [J]. Chinese Journal of Rock Mechanics and Engineering, 20073073-3078

[25] JiangJ C, YamagamiT. Charts for estimating strength parameters from slips inhomogeneous slopes [J]. Computers and Geotechnics, 2006, 33: 294-304

[26] OkuiY, TokunagaA, ShinjiM, MoriS. New back analysis method of slope stability by using field measurement [J]. International Journal Rock Mechanism & Mining Science, 1997, 34: 3-4

[27] YangX L. Seismic bearing capacity of a strip footing on rock slopes [J]. Canadian Geotechnical Journal, 2009, 46(8): 943-954

[28] YangX L. Seismic passive pressures of earth structures by nonlinear optimization [J]. Archive of Applied Mechanics, 2011, 81(9): 1195-1202

[29] YangX-l, LiL, YinJ-hua. Stability analysis of rock slopes with a modified Hoek-Brown failure criterion [J]. International Journal of Numerical and Analytical Methods in Geomechanics, 2004, 28(2): 181-190

[30] YangX L, YinJ H, LiL. Influence of a nonlinear failure criterion on the bearing capacity of a strip footing resting on rock mass using a lower bound approach [J]. Canadian Geotechnical Journal, 2003, 40(3): 702-707