Abstract
In this study, the critical depth of un-braced open cuts is investigated using physical and numerical modeling carried out by the centrifuge machine at the Iran University of Science and Technology and a FISH code developed in the finite difference software, FLAC, respectively. The undrained shear strength of the soil was measured using Unconfined Compression Test (UCT), Miniature Vane Shear Test (MVST), and Pocket Penetrometer Test (PPT) and the results were used to develop a statistical correlation between the soil water content and its strength. In addition, upper and lower bound limit analysis solutions were used as benchmarks to verify the results. Finally, the values of critical excavation depth obtained through numerical analysis and centrifuge modeling in this study were compared with those estimated by the limit analysis and limit equilibrium methods.
Similar content being viewed by others
References
Abramson LW (2002) Slope stability and stabilization methods. John Wiley & Sons, New York
Zhu D, Lee C, Jiang H (2003) Generalised framework of limit equilibrium methods for slope stability analysis. Géotechnique 53(4):377–395
Ugai K, Leshchinsky D (1995) Three-dimensional limit equilibrium and finite element analyses: a comparison of results. Soils Found 35(4):1–7
Yu H, Salgado R, Sloan S, Kim J (1998) Limit analysis versus limit equilibrium for slope stability. J Geotech Geoenviron Eng 124(1):1–11
Cheng Y, Lansivaara T, Wei W (2007) Two-dimensional slope stability analysis by limit equilibrium and strength reduction methods. Comput Geotech 34(3):137–150
Alejano L, Ferrero AM, Ramírez OP, Fernández M (2011) Comparison of limit-equilibrium, numerical and physical models of wall slope stability. Int J Rock Mech Min Sci 48(1):16–26
Chen WF (1975) Limit analysis and soil plasticity, developments in geotechnical engineering. Elsevier, Amsterdam
Giger MW, Krizek RJ (1975) Stability analysis of vertical cut with variable corner angle. Soils Found 15(2):63–71
Giger MW, Krizek RJ (1976) Stability of vertical corner cut with concentrated surcharge load. J Geotech Eng Div 102(1):31–40
Michalowski R (1995) Slope stability analysis: a kinematical approach. Géotechnique 45(2):283–293
Donald I, Chen Z (1997) Slope stability analysis by the upper bound approach: fundamentals and methods. Can Geotech J 34(6):853–862
Kim J, Salgado R, Lee J (2002) Stability analysis of complex soil slopes using limit analysis. J Geotech Geoenviron Eng 128(7):546–557
Farzaneh O, Askari F (2003) Three-dimensional analysis of nonhomogeneous slopes. J Geotech Geoenviron Eng 129(2):137–145
Stanier SA, Tarantino A (2013) An approach for predicting the stability of vertical cuts in cohesionless soils above the water table. Eng Geol 158:98–108
Naylor D (1982) Finite elements and slope stability. Numerical methods in geomechanics. Springer, Netherlands
Cascini L (1983) A numerical solution for the stability of a vertical cut in a purely cohesive medium. Int J Numer Anal Meth Geomech 7(1):129–134
Matsui T, San K (1992) Finite element slope stability analysis by shear strength reduction technique. Soils Found 32(1):59–70
Lane P, Griffiths D (1997) Finite element slope stability analysis–why are engineers still drawing circles. In: Proceeding of 6th international symposium on numerical models in geomechanics pp 589–593
Cala M, Flisiak J, Tajduś A (2004) A Slope stability analysis with modified shear strength reduction technique. In: the 9th international symposium on landslides: evaluation and stabilization pp 1085–1089
Drucker DC, Prager W (1952) Soil mechanics and plastic analysis or limit design. Quart Appl Math 10:157–165
Heyman J (1973) The stability of a vertical cut. Int J Mech Sci 15:845–854
Josselin de Jong G (1978) Improvement of the lower bound for the vertical cut off in a cohesive frictionless soil. Géotechnique 28:197–201
Taylor DW (1948) Fundamentals of soil mechanics. Wiley, New York
de Buhan P, Dormieux L, Maghous S (1993) Stabilité d’un talus vertical: amélioration de la borne cinématique. Comptes Rendus de l’Académie des Sciences 317(II):13–136
Bekaert A (1995) Improvement of the kinematic bound for the stability of a vertical cut-off. Mech Res Commun 22:533–540
Pastor J, Thai TH, Francescato P (2000) New bounds for the height limit of a vertical slope. Int J Numer Anal Meth Geomech 24:165–182
Dysli M, Fontana A (1983) Deformation around the excavations in clayey soil. Ecole Polytechnique Fédérale de Lausanne, Laboratoires de Mécanique des Sols et des Roches pp 634–642
Banerjee P, Kumbhojkar A, Yousif N (1988) Finite element analysis of the stability of a vertical cut using an anisotropic soil model. Can Geotech J 25(1):119–127
Phoon KK, Kulhawy FH (1999) Characterization of geotechnical variability. Can Geotech J 36(4):612–624
Babu GS, Mukesh M (2004) Effect of soil variability on reliability of soil slopes. Géotechnique 54(5):335–337
Cho SE (2007) Effect of spatial variability of soil properties on slope stability. Eng Geol 92(3):97–109
Griffiths D, Huang J, Fenton GA (2009) Influence of spatial variability on slope reliability using 2-D random fields. J Geotech Geoenviron Eng 135(10):1367–1378
Kasama K, Zen K (2011) Effects of spatial variability of soil property on slope stability. In: Vulnerability, uncertainty, and risk analysis modelling and management. ASCE, Reston 691–698
Jamshidi Chenari R, Zamanzadeh M (2016) Uncertainty assessment of critical excavation depth of vertical unsupported cuts in undrained clay using random field theorem. Sci Iran 23(3):864–876
Taylor R (2003) Geotechnical centrifuge technology. Blackie Academic and Professional, London
Roessig LN, Sitar N (2006) Centrifuge model studies of the seismic response of reinforced soil slopes. J Geotech Geoenviron Eng 132(3):388–400
González L, Abdoun T, Dobry R (2009) Effect of soil permeability on centrifuge modeling of pile response to lateral spreading. J Geotech Geoenviron Eng 135(1):62–73
Ling HI, Wu MH, Leshchinsky D, Leshchinsky B (2009) Centrifuge modeling of slope instability. J Geotech Geoenviron Eng 135(6):758–767
Sommers A, Viswanadham B (2009) Centrifuge model tests on the behavior of strip footing on geotextile-reinforced slopes. Geotext Geomembr 27(6):497–505
Ling H, Ling HI (2012) Centrifuge model simulations of rainfall-induced slope instability. J Geotech Geoenviron Eng 138(9):1151–1157
Rajabian A, Viswanadham B, Ghiassian H, Salehzadeh H (2012) Centrifuge model studies on anchored geosynthetic slopes for coastal shore protection. Geotext Geomembr 34:144–157
Stewart MA, McCartney JS (2013) Centrifuge modeling of soil-structure interaction in energy foundations. J Geotech Geoenviron Eng 140(4):1–11
ASTM D422–63 (2007) Standard test method for particle-size analysis of soils. ASTM International, West Conshohocken
ASTM D854–14 (2014) Standard test methods for specific gravity of soil solids by water pycnometer. ASTM International, West Conshohocken
ASTM D4318 (2010) Standard test methods for liquid limit, plastic limit, and plasticity index of soils. ASTM International, West Conshohocken
ASTM D2166 (2016) Standard test method for unconfined compressive strength of cohesive soil. ASTM International, West Conshohocken
Koumoto T, Houlsby G (2001) Theory and practice of the fall cone test. Géotechnique 51(8):701–712
Trauner L, Dolinar B, Mišič M (2005) Relationship between the undrained shear strength, water content, and mineralogical properties of fine-grained soils. Int J Geomech 5(4):350–355
Jamshidi Chenari R, Karimian A (2011) Realization of undrained shear strength of natural deposits using random field theory. J Comput Methods Eng 30(2):21–43 (Persian)
Chen T, Cheng Z, Wang G, Liu E, Dai F (2017) Centrifuge model test on unsaturated expansive soil slopes with cyclic wetting–drying and inundation at the slope toe. Int J Civ Eng. https://doi.org/10.1007/s40999-017-0228-1
Mehrzad B, Haddad A, Jafarian Y (2016) Centrifuge and numerical models to investigate liquefaction induced response of shallow foundations with different contact pressures. Int J Civ Eng 14(2):117–131
Schofield AN (1980) Cambridge geotechnical centrifuge operations. Géotechnique 30(3):227–268
Taylor R (1995) Centrifuges in modeling: principles and scale effects, Geotechnical centrifuge technology. Blackie Academic and Professional, London
Garnier J, Gaudin C, Springman SM, Culligan PJ, Goodings D, Konig D, Kutter B, Phillip R, Randolph MF, Thorel L (2007) Catalogue of scaling laws and similitude questions in geotechnical centrifuge. Int J Phys Model Geo 7(3):1–23
Shahnazari H, Salehzadeh H, Askarinejad A (2008) Determination of virtual cohesion in unsaturated sand trenches, using geotechnical centrifuge. Int J Civ Eng 6(1):1–9
Taylor DW (1937) Stability of earth slopes. Boston Society of Civil Engineers, Boston
Atkinson JH (1981) Foundations and Slopes: an introduction to applications of critical state soil mechanics. John Wiley and Sons, New York
Terzaghi K (1943) Theoretical soil mechanics. John Wiley and Sons, New York
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Shahnazari, H., Chenari, R.J., Fard, M.K. et al. Stability Evaluation of Un-braced Cuts. Int J Civ Eng 16, 1361–1369 (2018). https://doi.org/10.1007/s40999-017-0273-9
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40999-017-0273-9