ABSTRACT
Associated with slope stability, cohesion, and friction angle which are the most factors that can affect the slope failure, Investigation studies in geotechnical structure analysis establish that the dilatancy angle, y, is rarely acceptable in slope stability analysis, and when it considers the process is poorly sophisticated and simplistic. The paper describes two numerical slope stability analyses of a homogeneous soil with a plane strain model, to study the influence of dilation angle through different friction angle ranges (20, 25, and 30). The analysis used an immutable friction angle with variable dilation angle, results show that the safety factor increases gradually with the increase of dilation angle and dramatically decreases when the dilation angle is close to the friction angle, which means the dilation angle, y, affect the safety factor through slope analysis. It is very significant to check out the scrupulous value of dilation angle, y, when dealing with associated and non-associated soil parameters. In geotechnical and thermal analysis, dilation angle can affect the volume change as well as a safety factor.
KEYWORDS
PAPER SUBMITTED: 2022-08-02
PAPER REVISED: 2022-09-28
PAPER ACCEPTED: 2022-10-15
PUBLISHED ONLINE: 2023-01-21
- Rowe, P. W., The Stress-Dilatancy Relation for Static Equilibrium of an Assembly of Particles in Contact, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 269 (1962), 1339, pp. 500-527
- Qian, Z., et al., Slope Stability Charts for Two-Layered Purely Cohesive Soils Based on Finite-Element Limit Analysis Methods, International Journal of Geomechanics, 15 (2015), 3, 06014022
- Qian, Z., et al., An Artificial Neural Network Approach to Inhomogeneous Soil Slope Stability Predictions Based on Limit Analysis Methods, Soils and Foundations, 59 (2019), 2, pp. 556-569
- Griffiths, D., Lane, P., Slope Stability Analysis by Finite Elements, Geotechnique, 49 (1999), 3, pp. 387-403
- Abramson, L.W., et al., Slope Stability and Stabilization Methods, 2nd ed., Canada John Wiley & Sons, New York, USA, 2002
- Manzari, M. T. Nour, M. A., Significance of Soil Dilatancy in Slope Stability Analysis, Journal of Geotechnical and Geoenvironmental Engineering, 126 (2000), 1, pp. 75-80
- Chen, W.-F., Limit Analysis and Soil Plasticity. Elsevier, Amsterdam, The Netherlands, 2013
- Lin, H. Cao, P., Influence of Material Dilation Angle on Stability of Homogeneous Slope with Surcharge Load, Electronic Journal of Geotechnical Engineering, 17 (2012), Jan.,
- Chen, J., et al., Upper Bound Limit Analysis of Slope Stability Using Rigid Finite Elements and Nonlinear Programming, Canadian Geotechnical Journal, 40 (2003), 4, pp. 742-752
- Krabbenhoft, K., et al., Associated Computational Plasticity Schemes for Nonassociated Frictional Materials, International Journal for Numerical Methods in Engineering, 90 ( 20120, 9, pp. 1089-1117
- Tschuchnigg, F., H. et al., Slope Stability Analysis by Means of Finite Element Limit Analysis and Finite Element Strength Reduction Techniques. Part I: Numerical Studies Considering Non-Associated Plasticity, Computers and Geotechnics, 70 (2015), Oct., pp. 169-177
- Erxiang, S., Finite Element Analysis of Safety Factor for Soil Structures, Chinese Journal of Geotechnical Engineering, 19 (1997), 2, pp. 1-7
- Sun, W., Gong, X.-N., Application of Elasto-Plastic Finite Element Method in Stability Analysis of Soil Slopes, Journal-Taiyuan University of Technology, 34 (2003), 2, pp. 199-202
- Oka, F., et al., Effect of Dilatancy on the Strain Localization of Water-Saturated Elasto-Viscoplastic Soil, International Journal of Solids and Structures, 39 (2002), 13, pp. 3625-3647
- Li, A.-J., et al., Three-Dimensional Stability Charts for Slopes Based on Limit Analysis Methods. Canadian Geotechnical Journal, 47 (2010), 12, pp. 1316-1334
- Lim, K., et al., Three-Dimensional Slope Stability Charts for Frictional Fill Materials Placed on Purely Cohesive Clay, International Journal of Geomechanics, 16 (2016), 2, 04015042
- Yang, X., G. et al., Comparison of Strength Reduction Method for Slope Stability Analysis Based on ABAQUS FEM and FLAC3d FDM, Applied Mechanics and Materials., 170-173 (2012), May, pp. 918-922
- MacLaughlin, M., et al., Investigation of Slope-Stability Kinematics Using Discontinuous Deformation Analysis, International Journal of Rock Mechanics and Mining Sciences, 38 (2001), 5, pp. 753-762
- Bolton, M., The Strength and Dilatancy of Sands, Geotechnique, 36 (1986), 1, pp. 65-78.
- Houlsby, G., How the Dilatancy of Soils Affects their Behaviour, University of Oxford, Department of Engineering Science, Oxford, UK, 1991
- Vermeer, P. A., De Borst, R., Non-Associated Plasticity for Soils, Concrete and Rock, in: Physics of Dry Granular Media, Springer, New York, USA, Vol 350, 1984
- Zienkiewicz, O., C. et al., Associated and Non-Associated Visco-Plasticity and Plasticity in Soil Mechanics, Geotechnique, 25 (1975), 4 pp. 671-689
- Naylor, D., Finite Elements and Slope Stability, in: Numerical Methods in Geomechanics, Springer. New York, USA, 1982, p. 229-244
- Donald, I., Giam, S., Application of the Nodal Displacement Method to Slope Stability Analysis, Proceedings, 5th Australia-New Zealand Conference on Geomechanics, Sydney, Australia, 1988
- Matsui, T., San, K.-C., Finite Element Slope Stability Analysis by Shear Strength Reduction Technique, Soils and Foundations, 32 (1992), 1, pp. 59-70
- Ugai, K., Leshchinsky, D., Three-Dimensional Limit Equilibrium and Finite Element Analyses: a Comparison of Results, Soils and Foundations, 35 (1995), 4, pp. 1-7
- Dawson, E., et al., Slope Stability Analysis by Strength Reduction, Geotechnique, 49 (1999), 6, pp. 835-840