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An Upper Bound Limit Analysis to Determine the Stability of Slope Considering the Effect of Earthquake

Hai N. Le and An N. Chau
Ho Chi Minh City University of Technology, Ho Chi Minh, Vietnam

Abstract—The cell-based smoothed finite element method (CS-FEM) and second order cone programming (SOCP) are used to access the seismic stability of slope in cohesive-frictional soil. In this study, the seismic force will be consid-ered as the inertial load which calculated through horizontal acceleration factor αh. The stability factor is expressed in the form of a dimensionless number γmaxHtan/c; where H is the slope height, γmax and c are the maximum unit weight and cohesion of soil, respectively. In addition, the failure mecha-nisms of slope will be obtained directly from solving the optimization problems. A series of simulations are carried out and the results confirm that this numerical procedure provides stable and accurate solutions to seismic stabilities in compare with those using finite element method as well as the influence of the properties of soil to the slope stability.

Index Terms—seismic, slope stability, CS-FEM, SOCP, limit analysis, upper bound

Cite: Hai N. Le and An N. Chau, "An Upper Bound Limit Analysis to Determine the Stability of Slope Considering the Effect of Earthquake," International Journal of Structural and Civil Engineering Research, Vol. 6, No. 4, pp. 274-279, November 2017. doi: 10.18178/ijscer.6.4.274-279