Open Access Open Access  Restricted Access Subscription or Fee Access

Slope Stability Analysis with Interaction of Frictional Contact


(*) Corresponding author


Authors' affiliations


DOI: https://doi.org/10.15866/irece.v8i4.11535

Abstract


Interface effects have an essential role during any contact between two bodies; and the inclusion of contact-friction in the model body can be a useful approach. This is the case, for example, of adding the recent depot on a former layer. The practical applications are either geology or geodynamics, the modeling of waste storages and the stability analysis of artificial embankments. The latter is examined in this paper, as we use the interaction of contact friction between two blocks (bodies). This study was carried out using the finite element method coupled with the shear strength reduction technique. The results of this study indicate that we must take into consideration any rupture in slopes because this helps to know the real situation after analyzing the slope and also to show the importance of the presence of interaction interfaces in modeling the frictional contact between soil interfaces. Young's interface modulus plays a very important role in the interaction.
Copyright © 2017 Praise Worthy Prize - All rights reserved.

Keywords


Slope Stability; Safety Factor; Failure Surface; Interface; Frictional Contact; Finite Element Method

Full Text:

PDF


References


Z.Y. Chen, Stability analysis of soil slope—Theory, Method and Programs, (Chinese Water Press, Beijing, 2003).

J.Y. Kim, S.R. Lee, An improved search strategy for the critical slip surface using finite element stress fields, Computers and Geotechnics, 21, 295–313, 1997.
http://dx.doi.org/10.1016/s0266-352x(97)00027-x

L.W. Abramson, S.L. Thomas, S. Sunil, and G.M. Boyce, Slope stability and stabilization methods, (Second Edition. A Wiley-lnterscience Publication John Wiley And Sons, Inc, 2002).

Z. Hong, S, Guanhua, L. Defu, A practical procedure for searching critical slip surfaces of slopes based on the strength reduction technique. Computers and Geotechnics, 36-1–5, 2009.
http://dx.doi.org/10.1016/j.compgeo.2008.06.002

J.M. Duncan, and S.G.Wright, The accuracy of equilibrium methods of slope stability analysis. Engrg. Geol, 16(1), 5-17, 1980.

M. Carol, F.A. Zeena, H. Peter, Slope stability analysis-limit equilibrium or the finite element method?, Newcastle University Ground Engineering May, 2014.

Z.S.Mansour , B. Kalantari, Traditional Methods vs. Finite Difference Method for Computing Safety Factors of Slope Stability, EJGE, 2011.

J.M. Duncan, State of the art: limit equilibrium and finite element analysis of slopes. J Geotech Eng, 122(7):577–96, 1996.

B. Antonio, Numerical methods in geomechanics. The Arabian Journal for Science and Engineering, Vol 35, Number 1B, 2010.

S.E. Sanborn, J.H. Prevost, Frictional slip plane growth by localization detection and the extended finite element method (XFEM), Int J Numer Anal Meth Geomech, 35:1278–98, 2011.
http://dx.doi.org/10.1002/nag.958

K.S. Li, P. Lumb, Probabilistic design of slopes, Canadian Geotechnical Journal, 24(4): 520-535, 1987.

P. McCombie, P.Wilkinson, The use of the simple genetic algorithm in finding the critical factor of safety in slope stability analysis. Comput Geotech, 29(8):699–714, 2002.
http://dx.doi.org/10.1016/s0266-352x(02)00027-7

S. Lee, J. Ryu, K. Min, J. Won, Development of two artificial neural network methods for landslide susceptibility analysis, Geoscience and Remote Sensing Symposium, 5:2364-2366, 2001.
http://dx.doi.org/10.1109/igarss.2001.978003

R. Haefeli, The Stability of Slopes Acted Upon by Parallel Seepage, Proceedings of the Second International Conference on Soil Mechanics and Foundation Engineering, Rotterdam, Vol. 1, pp. 57–62, 1948.

W. Fellenius, Calculation of stability of earth dams. Transactions, 2nd Congress on Large Dams, Washington, DC, vo1445-462, 1936.

A.W. Bishop, The use of slip circle in the stability analysis of slopes, Geotechnique, 5(1):7-17, 1955.
http://dx.doi.org/10.1680/geot.1955.5.1.7

N.R. Morgenstern, V.E. Price, The analysis of the stability of general slip surfaces. Geotechnique, London, 15(1), 79-93, 1965.
http://dx.doi.org/10.1680/geot.1965.15.1.79

E.A. Spencer, method of analysis of the stability of embankments assuming parallel interslice forces. Geotechnique. London, 17(1), 11-26, 1967.
http://dx.doi.org/10.1680/geot.1967.17.1.11

S.K..Sarma, Stability Analysis of Embankment and Slopes, Geotechnique, 23:423‐33, 1973.
http://dx.doi.org/10.1680/geot.1973.23.3.423

N. Janbu, Slope Stability Computations, Embankment-Dam Engineering, Casagrande Volume, Hirschfeld, R.C. and Poulos, .J. (ed.), John Wile and Sons, New York, USA, 47-86, 1973.

L.C. Li, C.A. Tang, W.C. Zhu, Z.Z. Liang, Numerical analysis of slope stability based on the gravity increase method, journal of Computers and Geotechnics, 2009.
http://dx.doi.org/10.1016/j.compgeo.2009.06.004

C.A.Tang, Numerical simulation on progressive failure leading to collapse and associated seismicity. Int J Rock Mech Min Sci, 34(2):249–61, 1997.
http://dx.doi.org/10.1016/s0148-9062(96)00039-3

O.C. Zienkiewicz, C. Humpheson, R.W. Lewis, Associated and nonassociated viscoplasticity and plasticity in soil mechanics, Géotechnique, 25(4):671–89, 1975.
http://dx.doi.org/10.1680/geot.1975.25.4.671

I.M. Smith, D.V.Griffiths, Programming the finite element method. (2nd ed. John Wiley & Sons, 1982).

D.J. Naylor, Finite elements and slope stability. Proceedings of the NATO Advanced Study Institute, Lisbon, Portugal, 1981. Numer. Methods Geomech, 229–44, 1982.

I.B. Donald, S.K. Giam, Application of the nodal displacement method to slope stability analysis, In: Proceedings of the 5th Australia–New Zealand conference on geomechanics, Sydney, Australia, pp. 456–60, 1988.

K.A.Ugai, Method of calculation of total factor of safety of slopes by elastoplastic FEM, Soils Foundations, 29(2):190–5, 1989.
http://dx.doi.org/10.3208/sandf1972.29.2_190

T. Matsui, K.C.San, Finite element slope stability analysis by shear strength reduction technique, Soils Found, 32(1):59–70, 1992.
http://dx.doi.org/10.3208/sandf1972.32.59

K. Ugai, D. Leshchinsky, Three-dimensional limit equilibrium and finite element analysis: a comparison of results. Soils Found, 35(4):1–7, 1995.
http://dx.doi.org/10.3208/sandf.35.4_1

E. Song, Finite element analysis of safety factor for soil structures, Chinese J Geotech Eng, 19(2):1–7, 1997.
http://dx.doi.org/10.1016/s0167-4730(97)00017-9

E.M. Dawson, W.H. Roth, A. Drescher, Slope stability analysis by strength reduction, Géotechnique, 49(6):835–40, 1999.
http://dx.doi.org/10.1680/geot.1999.49.6.835

D.V. Griffiths, P.A. Lane, Slope stability analysis by finite elements, Géotechnique, 49,(3) :387–403, 1999.
http://dx.doi.org/10.1680/geot.1999.49.3.387

R.E. Hammah, T.E. Yacoub, B. Corkum, J.H.Curran, A Comparison of finite element slope stability analysis with conventional limit-equilibrium investigation. In: Proceedings of the 58th Canadian geotechnical and 6th joint IAH-CNC and CGS groundwater specialty conferences saskatoon, Saskatchewan, Canada, September, 2005.

Y.R. Zheng, S.Y. Zhao, W.X. Kong, C.J. Deng, Geotechnical engineering limit analysis using finite element method, Rock Soil Mech, 26(1):163–8, 2005.

Taleb, H., Berga, A., Finite Element Analysis of Slope Stability Reinforced with Pile, (2017) International Review of Civil Engineering (IRECE), 8 (1), pp. 25-33.
http://dx.doi.org/10.15866/irece.v8i1.11147

T. Hosni Abderrahmane, B. Abdelmadjid. Analyzing of Slope Stability by Difference Model of Behavior. Asian Engineering Review, Vol 3, No 1 (2016).
http://dx.doi.org/10.20448/journal.508/2016.3.1/508.1.1.9

W.B. Wei, Y.M. Cheng, L. Li, Three-dimensional slope failure analysis by the strength reduction and limit equilibrium methods. Computers and Geotechnics, 36, 70–80, 2009.
http://dx.doi.org/10.1016/j.compgeo.2008.03.003

A. Burman, S.P. Acharya, R.R. Sahay, and D. Maity, A Comparative Study of Slope Stability Analysis Using Traditional Limit Equilibrium Method and Finite Element Method. Asian Journal of Civil Engineering (Bhrc) Vol. 16, NO. 4, pages 467-492, 2015.

H. Hertz, Uber die beruhrung fester elastischer korper (surlecontact entre corps élastiques). J fur reineundangewandte Mathematik, 92:156–71, 1881.

T. Endo, J.T. Oden, E.B. Becker, T. Miller, A numerical analysis of contact and limit point behaviour in a class of problems of finite elastic deformation. Comput. Struct. 18, 899-910, 1984.
http://dx.doi.org/10.1016/0045-7949(84)90035-x

J.C. Simo, P. Wriggers, K.H. Schweizerhof, R.L. Taylor, Finite deformation post-buckling analysis involvina inelasticitv and contact constraints. Inr. J. Numer. keth. Engng 23, 779%800, 1986.
http://dx.doi.org/10.1002/nme.1620230504

K.J. Bathe, A. Chowdhury, A solution method for planar and axisymmetric contact problems. Int. J. Numer. Meth. Enema, 21, 65-88, 1985.
http://dx.doi.org/10.1002/nme.1620210107

W.H. Chen, P. Tsai, Finite element analysis of elastodvnamic sliding contact uroblems with friction. Comput. Struct. 24,92k938, 1686.
http://dx.doi.org/10.1016/0045-7949(86)90153-7

R. Chand, E.J. Haua, K. Rim, Analysis of unbonded contact problems by means’ of quadratic programming, J. Optimization Theory and Applications, 20,171-189, 1976.
http://dx.doi.org/10.1007/bf01767450

T.F. Conry, A. Seireg, A mathematical programming technique for the evaluation of load distribution and optimal modifications for gear systems, ASME paper No. 72-PTG-5, 1972.
http://dx.doi.org/10.1115/1.3438259

T.F. Conry, A. Seireg, A mathematical programming technique design of elastic bodies in contact, ASME paper No. IO-WA/APM- 2, 1970.
http://dx.doi.org/10.1115/1.3408787

U. Fischer, R.J. Melosh, Solving discretized contact problems using linear programming, Comput. Struct, 25, 661-664, 1987.
http://dx.doi.org/10.1016/0045-7949(87)90158-1

N.D. Hung, G. de Saxce, Frictionless contact of elastic bodies by finite element method and mathematical programming technique. Comput. Struct, 11, 5567. 1980.
http://dx.doi.org/10.1016/0045-7949(80)90146-7

M, Mazurkiewicz, W. Ostachowicz, Theory of finite element method for elastic contact problems of solid bodies, Compur. Srruct, 17, 51-59. 1983.
http://dx.doi.org/10.1016/0045-7949(83)90028-7

M.U. Rahman, R.E. Rowlands, R.D. Cook, An iterative procedure for finite element stress analysis of frictional contact problems, Comput. Struct, 18, 947-954, 1984.
http://dx.doi.org/10.1016/0045-7949(84)90138-x

G. Mehlhorn, J. Kolleeaer, M. Keuser, W. Kolmar , Non-linear ‘contact --problems-a finite element approach implemented in ADINA, Compur. Strucr, 21,69-80, 1985.
http://dx.doi.org/10.1016/0045-7949(85)90230-5

B. Nour, P.A. Wriggers, Two level iteration method for solution of contact problems, Comput. Meth. appi. Mech. Engng, 54, 131- 44, 1986.
http://dx.doi.org/10.1016/0045-7825(86)90122-2

A. Wael, I.H.M. Abdallah, H.N. Jamal, A. Nermeen, A comparative study of various commercially available programs in slope stability analysis. Computers and Geotechnics, 35, 428–435, 2008.
http://dx.doi.org/10.1016/j.compgeo.2007.06.009


Refbacks

  • There are currently no refbacks.



Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2024 Praise Worthy Prize