\شماره٪٪۱
Janbu, N. ``Slope stability computations'', {\it Embankment Dam Eng.,
John Wiley}, New York (1973).
\شماره٪٪۲
Fellenius, W. ``Calculation of stability of earth dam'', {\it 2$^{nd}$
Congr. large dams, Washington, DC}, {\bf 4}, pp. 445-446 (1936).
\شماره٪٪۳
Bishop, A.W. ``The use of the slip circle in the stability
analysis of slopes'', {\it Geotechnique}, {\bf 5}(1), pp. 7-17 (1954).
\شماره٪٪۴
Morgenstern, N.R. and Price, V.E. ``The analysis of the stability
of general slip surfaces'', {\it Geotechnique}, {\bf
15}(1), pp. 79-93 (1964).
\شماره٪٪۵
Smith, I.M., Griffiths, D.V. and Margetts, L. ``Programming
the finite element method'', {\it Google Books, 5$^{th}$ edn. Wiley}, Hoboken
(2013).
\شماره٪٪۶
Baker, R. and Garber, M. ``Theoretical analysis of the stability
of slopes'', {\it Geotechnique}, {\bf 28}(4), pp. 395-411 (1978).
\شماره٪٪۷
Baker, R. ``Determination of the critical slip surface'', {\it Geomechanics},
{\bf 4}(4),
pp. 333-359 (1980).
\شماره٪٪۸
8. Nguyen, V.U. ``Determination of critical slope failure surfaces'', {\it J.
Geotech. Engrg.}, ASCE, {\bf 111}(2), pp. 238-250 (1985).
\شماره٪٪۹
Arai, K. and Tagyo, K. ``Determination of noncircular slip
surface giving the minimum factor of safety in slope stability
analysis'', {\it Soils Found.}, {\bf 25}(1), pp. 43-51 (1985).
\شماره٪٪۱۰
Kaveh, A. ``Applications of metaheuristic methods in civil
engineering problems'', {\it Springer}, {\bf 373} pp. (2017).
\شماره٪٪۱۱
Cheng, Y.M., Li, L., Sun, Y.J. and et al. ``A coupled particle
swarm and harmony search optimization algorithm for difficult
geotechnical problems'', {\it Struct. Multidiscip. Optim.}, {\bf 45}(4), pp.
489-501 (2012).
\شماره٪٪۱۲
Cheng, Y.M., Li, L., Lansivaara, T. and et al.
``An improved harmony search minimization algorithm using different
slip surface generation methods for slope stability analysis'', {\it Eng.
Optimization}, {\bf 40}(2), pp. 37-41 (2008).
\شماره٪٪۱۳
Kahatadeniya, K.S., Nanakorn, P. and Neaupane, K.M. ``Determination
of the critical failure surface for slope stability analysis
using ant colony optimization'', {\it Eng. Geol.}, {bf 108}(1--2), pp. 133-141
(2009).
\شماره٪٪۱۴
Gao, W. ``Premium-penalty ant colony optimization and its
application in slope stability analysis'', {\it Appl. Soft Comput.
J.}, {\bf 43}, pp. 480-488 (2016).
\شماره٪٪۱۵
Gao, W. ``Determination of the noncircular critical slip
surface in slope stability analysis by meeting ant colony optimization'',
{\it J.
Comput. Civ. Eng.}, {\bf 30}(2), 06015001 (2016).
\شماره٪٪۱۶
Cheng, Y.M., Chi, S., and Wei, W.B. ``Particle swarm optimization
algorithm for the location of the critical non-circular failure
surface in two-dimensional slope stability analysis'', {\it Computers
and Geotechncs}, {\bf 34}(2), pp. 92-103 (2007).
\شماره٪٪۱۷
Khajehzadeh, M., Taha, M.R. and El-shafie, A. ``Locating
the general failure surface of earth slope using particle swarm
optimisation'', {\it Civ. Eng. Environ. Syst.}, {\bf
29}(1), pp. 37-41 (2012).
\شماره٪٪۱۸
Kumar, D.N. and Reddy, M.J. ``Multipurpose reservoir operation
using particle swarm optimization'', {\it WATER Resour. Plan. Manag.},
{\bf 133}(3),
pp. 192-201 (2007).
\شماره٪٪۱۹
Burman, A. and Himanshu, N. ``Determination of critical failure
surface of slopes using particle swarm optimization technique
considering seepage and seismic loading'', {\it Geotech. Geol. Eng.},
{\bf 37}(1),
pp. 1261-1281 (2018).
\شماره٪٪۲۰
Kang, F., Li, J. and Ma, Z. ``An artificial bee colony algorithm
for locating the critical slip surface in slope stability analysis'', {\it Eng.
Optim.}, {\bf 45}(2), pp. 207-223 (2013).
\شماره٪٪۲۱
Cheng, Y.M. ``Global optimization analysis of slope stability
by simulated annealing with dynamic bounds and Dirac function'', {\it Eng.
Optim.}, {\bf 39}(1), pp. 17-32 (2007).
\شماره٪٪۲۲
Gandomi, A.H., Kashani, A.R., Mousavi, M. and et al.
``Slope stability analyzing using recent swarm intelligence
techniques'', {\it Int. J. Numer. Anal. Methods Geomech.}, {\bf 39}(3), pp.
295-309 (2015).
\شماره٪٪۲۳
Cheng, Y.M., Liang, L., Chi, S.C. and et al. ``Determination
of the Critical Slip Surface Using Artificial Fish Swarms Algorithm'',
{\it Journal
of Geotechnical and Geoenvironmental Engineering}, {\bf 134}(2), pp.
244-251 (2008).
\شماره٪٪۲۴
Saha, A. ``Big-bang big-crunch optimization in locating the
critical surface in slope-stability'', {\it In Indian geotechnical
conference}, pp. 978-981 (2013).
\شماره٪٪۲۵
Zhao, H., Yin, S. and Ru, Z. ``Relevance vector machine applied
to slope stability analysis'',
{\it Int. J. Numer. Anal. Methods Geomech.}, {\bf 36}(5),
pp. 643-652 (2012).
\شماره٪٪۲۶
Hu, C., Jimenez, R., Li, S.C. and Li, L.P. ``Determination
of critical slip surfaces using mutative scale chaos optimization'', {\it J.
Comput. Civ. Eng.}, {\bf 29}(5), pp. 1-9 (2015).
\شماره٪٪۲۷
McCombie, P. and Wilkinson, Ph. ``The use of the simple genetic
algorithm in finding the critical factor of safety in slope stability
analysis'', {\it Omputers Geotech.}, {\bf 29}(8), pp. 699-714 (2002).
\شماره٪٪۲۸
Das, S.K. ``Slope stability analysis using genetic algorithm'', {\it Electron.
J. Geotech. Eng.} (2005).
\شماره٪٪۲۹
Zolfaghari, A.R., Heath, A.C. and Mccombie, P.F. ``Simple
genetic algorithm search for critical non-circular failure surface
in slope stability analysis'', {\it Comput. Geotech.}, {\bf
32}(3), pp. 139-152
(2005).
\شماره٪٪۳۰
Sengupta, A. and Upadhyay, A. ``Locating the critical failure
surface in a slope stability analysis by genetic algorithm'', {\it Appl.
Soft Comput.}, {\bf 9}(1), pp. 387-392 (2009).
\شماره٪٪۳۱
Jurado-Pi\~{n}a, R. and Optimization, R.J. ``A genetic algorithm
for slope stability analyses with concave slip surfaces using
custom operators'', {\it Eng. Optim.}, {\bf 47}(4), pp. 453-472 (2015).
\شماره٪٪۳۲
Manouchehrian, A., Gholamnejad, J. and Sharifzadeh, M. ``Development
of a model for analysis of slope stability for circular mode
failure using genetic algorithm'', {\it Environ. Earth Sci.}, {\bf 71}(3),
pp. 1267-1277 (2014).
\شماره٪٪۳۳
Goh, A.T.C. ``Search for critical slip circle using genetic
algorithms'', {\it Civ. Eng. Environ. Syst.}, {\bf
17}(3), pp. 181-211 (2000).
\شماره٪٪۳۴
Xiao, Z., Tian, B. and Lu, X ``Locating the critical slip
surface in a slope stability analysis by
enhanced fireworks algorithm'', {\it Cluster
Comput.}, {\bf 22}(3), pp. 719-729 (2019).
\شماره٪٪۳۵
Gao, W., Wang, X., Dai, S. and et al. ``Study on stability
of high embankment slope based on black hole algorithm'', {\it Environ.
Earth Sci.}, {\bf 75}(20), pp. 1-13 (2016).
\شماره٪٪۳۶
Gao, W. ``Slope stability analysis based on immunised evolutionary
programming'', {\it Environ. Earth Sci.}, {\bf 74}(4), pp. 3357-3369 (2015).
\شماره٪٪۳۷
Singh, J., Banka, H. and Verma, A.K. ``A BBO-based algorithm
for slope stability analysis by locating critical failure surface'', {\it
Neural
Comput. Appl.}, {\bf 31}(10), pp. 6401-6418 (2019).
\شماره٪٪۳۸
Mishra, M., Gunturi, V.R. and Maity, D. ``Teaching--learning-based
optimisation algorithm and its application in capturing critical
slip surface in slope stability analysis'', {\it Soft Comput.}, {\bf 24}(4),
pp. 2969-2982 (2020).
\شماره٪٪۳۹
Johari, A. and Gholampour, A. ``A practical approach for
reliability analysis of unsaturated slope by conditional random
finite element method'', {\it Computers and Geotechnics}, {\bf 102}, pp.79-91
(2018).
\شماره٪٪۴۰
Johari, A. and Talebi, A. ``Stochastic analysis of rainfall-induced
slope instability and steady-state seepage flow using random
finite-element method'', {\it International Journal of Geomechanics},
{\bf 19}(8),
04019085 (2019).
\شماره٪٪۴۱
Daniel, H. ``Environmental soil physics'', {\it San Diego, Academic
Press} (1998).
\شماره٪٪۴۲
Celia, M.A., Bouloutas, E.T. and Zarba, R.L. ``A general
mass-conservative numerical solution for the unsaturated flow
equation'', {\it Water Resour. Res.}, {\bf 26}(7), pp. 1483-1496 (1990).
\شماره٪٪۴۳
Lu, N. and Likos, W.J. ``Unsaturated soil mechanics'', {\it Wiley},
NY (2004).
\شماره٪٪۴۴
Khalili, N., Geiser, F. and Blight, G.E. ``Effective stress
in unsaturated soils: Review with new evidence'', {\it Int. J. Geomech.},
{\bf 4}(2),
pp. 115-126 (2004).
\شماره٪٪۴۵
Garakani, A.A., Sadeghi, H., Saheb, S. and et l. ``Bearing
capacity of shallow foundations on unsaturated soils: analytical
approach with 3D numerical simulations and experimental validations'', {\it
Int.
J. Geomech.}, {\bf 20}(3), 04019181 (2020).
\شماره٪٪۴۶
Gallipoli, D., Gens, A., Sharma, R. and et al. ``An elasto-plastic
model for unsaturated soil incorporating the effects of suction
and degree of saturation on mechanical behaviour'', {\it Geotechnique},
{\bf 53}(1), pp. 123-135 (2003).
\شماره٪٪۴۷
Kaveh, A. and Mahdavi, V.R. ``Colliding bodies optimization:
A novel meta-heuristic method'', {\it Comput. Struct.}, {\bf 139}, pp. 18-27
(2014).
\شماره٪٪۴۸
Rahardjo, H., Ong, T.H., Rezaur, R.B. and et al. ``Factors
controlling instability of homogeneous soil slopes under rainfall'',
{\it Journal
of Geotechnical and Geoenvironmental Engineering}, {\bf 133}(12), pp.
1532-1543 (2007).
\شماره٪٪۴۹
Rahimi, A., Rahardjo, H. and Leong, E.C. ``Effect of antecedent
rainfall patterns on rainfall-induced slope failure'', {\it Journal
of Geotechnical and Geoenvironmental Engineering}, {\bf 137}(5), pp.
483-491 (2011).
)
