Abstract
Failure of natural or engineered slopes can have considerable negative economic consequences and may even result in loss of human lives. Slope stability analyses have assumed increasing importance in engineering practice to ensure stable slopes while providing economic solutions. A survey of literature shows that ignoring dilatancy effects, as is usually done in conventional limit equilibrium approaches, may provide conservative results. However, in case of a finite element approach, adopting an associated flow rule, i.e., (ѱ = ϕ) could lead to overestimation of stability. Using a non-associated flow rule, on the other hand, may lead to numerical instabilities. The Limit Analysis approach, which can bracket the true factor of safety, is also restricted to an associated flow rule, while soils may not always conform to the associated flow rule. The present study aims to discuss the works of several authors in this area bringing out the significance of dilatancy in slope stability analyses. As has been shown in the literature, many soils exhibit nonlinear strength envelopes, especially at low effective normal stresses. Using the traditional linear Mohr–Coulomb failure criterion, without due regard to nonlinearity in the stress range under consideration may result in inaccurate predictions of stability. Several approaches are available in the literature to better represent the nonlinear strength criteria in stability analyses. The present work aims to review literature on slope stability analysis considering the effects of strength nonlinearity and dilatancy.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Lin H-D, Wang W-C, Li A-J (2020) Investigation of dilatancy angle effects on slope stability using the 3D finite element method strength reduction technique. Comput Geotech 118:103295
Oberhollenzer S, Tschuchnigg F, Schweiger HF (2018) Finite element analyses of slope stability problems using non-associated plasticity. J Rock Mech Geotech Eng 10:(1091–1101)
Wang Y-J, Yin J-H, Lee CF (2001) The influence of a non-associated flow rule on the calculation of the factor of safety of soil slopes. Int J Numer Anal Meth Geomech 25:1351–1359
Qian ZG, Li AJ, Merifield RS, Lyamin AV (2015) Slope stability charts for two-layered purely cohesive soils based on finite-element limit analysis methods. Int J Geomech 15(3):06014022:1–14
Li C, Jiang P, Zhou A (2020) Non-associated plasticity analysis of slope stability under steady unsaturated flow conditions. Comput Geotech 128:103786
Mizuno E, Chen WF (1983) Plasticity analysis of slope with different flow rules. Comput Struct 17(3):375–388
Eskandarinejad A, Shafiee AH (2011) Pseudo-dynamic analysis of seismic stability of reinforced slopes considering non-associated flow rule. J Cent South Univ Technol 18:2091–2099
Drescher A, Detournay E (1993) Limit load in translational failure mechanisms for associative and non-associative materials. Geotechnique 43(3):443–456
Kumar J (2004) Stability factors for slopes with nonassociated flow rule using energy consideration. Int J Geomech 4:264–272
Manzari MT, Nour MA (2000) Significance of soil dilatancy in slope stability analysis. J Geotech Geoenviron Eng 126:75–80
Tschuchnigg F, Schweiger HF, Sloan SW (2015) Slope stability analysis by means of finite element limit analysis and finite element strength reduction techniques. Part I: Numerical studies considering non-associated plasticity. Comput Geotech 70:169–177
Wu D, Gao Y, Chen X, Wang Y (2021) Effects of soil strength nonlinearity on slip surfaces of homogeneous slopes. Int J Geomech 21(1):06020035:1–11
Eid HT (2010) Two and three-dimensional analyses of translational slides in soils with nonlinear failure envelopes. Can Geotech J 47:388–399
Jiang J-C, Baker R, Yamagami T (2003) The effect of strength envelope nonlinearity on slope stability computations. Can Geotech J 40:308–325
VandenBerg DR, Castellanos BA, McGuire MP (2019) Comparison and use of failure envelope forms for slope stability analysis. Geotech Geol Eng 37:2029–2046
Li YX, Yang XL (2019) Soil-slope stability considering effect of soil-strength nonlinearity. Int J Geomech 19(3):04018201:1–10
Gao Y-F, Wu D, Zhang F, Qin H, Zhu D (2016) Effects of nonlinear strength parameters on stability of 3D soil slopes. J Cent South Univ 23:2354–2363
Baker R (2004) Nonlinear Mohr envelopes based on triaxial data. J Geotech Geoenviron Eng 130:498–506
Banerjee A, Puppala AJ, Kumar P, Hoyos LR (2020) Stress-dilatancy of unsaturated soil. Geo-Congress 2020 GSP 319:420–429
Andersen KH, Schjetne K (2013) Database of friction angles of sand and consolidation characteristics of sand, silt and clay. J Geotech Geoenviron Eng 139:1140–1155
Bolton MD (1986) The strength and dilatancy of sands. Geotechnique 36(1):65–78
Liu X, Cheng XH, Scarpas A, Blaauwendraad J (2005) Numerical modelling of nonlinear response of soil. Part 1: Constitutive model. Int J Solids Struct 42:1849–1881
Tschuchnigg F, Schweiger HF, Sloan SW (2015) Slope stability analysis by means of finite element limit analysis and finite element strength reduction techniques. Part II: Back analyses of a case history. Comput Geotech 70:178–189
Krabbenhoft K, Karim MR, Lyamin AV, Sloan SW (2012) Associated computational plasticity schemes for nonassociated frictional materials. Int J Numer Methods Eng 90:1089–1117
Chang Y-L, Huang T-K (2005) Slope stability analysis using strength reduction technique. J Chin Inst Eng 28(2):231–240
Griffiths DV, Lane PA (1999) Slope stability analysis by finite elements. Geotechnique 49(3):387–403
Gregory GH, Bumpas KK (2013) Post-peak fully-softened strength and curved strength envelope in shallow slope failure analysis. Geo-Congress 2013:255–268
Tschuchnigg F, Schweiger HF, Sloan SW, Lyamin AV, Raissakis I (2015) Comparison of finite-element limit analysis and strength reduction techniques. Geotechnique 65(4):249–257
Deng D, Li L (2019) Coupling nonlinear strength criterion and double-strength reduction technique. Int J Geomech 19(6):04019052:1–13
Ganjian N, Askari F, Farzaneh O (2010) Influence of nonassociated flow rules on three-dimensional seismic stability of loaded slopes. J Cent South Univ Technol 17:603–611
Zhao L, Cheng X, Dan H, Tang Z, Zhang Y (2017) Effect of the vertical earthquake component on permanent seismic displacement of soil slopes based on the nonlinear Mohr-Coulomb failure criterion. Soils Found 57:237–251
Li D, Cheng Y (2012) Lower bound limit analysis using nonlinear failure criterion. Procedia Earth Planet Sci 5:170–174
Li X (2007) Finite element analysis of slope stability using a nonlinear failure criterion. Comput Geotech 34:127–136
Yang X, Chi S (2013) Upper bound finite element analysis of slope stability using a nonlinear failure criterion. Comput Geotech 54:185–191
Drescher A, Christopoulos C (1988) Limit analysis slope stability with nonlinear yield condition. Int J Numer Anal Methods Geomech 12:341–345
Deng D, Zhao L, Li L (2015) Limit equilibrium slope stability analysis using the nonlinear strength failure criterion. Can Geotech J 52:1–14
Yang X-L, Yin J-H (2004) Slope stability analysis with nonlinear failure criterion. J Eng Mech 130(3):267–273
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Nihar Ranjan, J., Mohapatra, B.G., Alali, M. (2022). Approaches to Slope Stability Analysis Considering the Effects of Dilatancy and Strength Non-linearity: A Review. In: Das, B.B., Gomez, C.P., Mohapatra, B.G. (eds) Recent Developments in Sustainable Infrastructure (ICRDSI-2020)—Structure and Construction Management. Lecture Notes in Civil Engineering, vol 221. Springer, Singapore. https://doi.org/10.1007/978-981-16-8433-3_53
Download citation
DOI: https://doi.org/10.1007/978-981-16-8433-3_53
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-16-8432-6
Online ISBN: 978-981-16-8433-3
eBook Packages: EngineeringEngineering (R0)