Influence of Anisotropy and Nonhomogeneity on Stability Analysis of Fissured Slopes Subjected to Seismic Action

Abstract

Based on the upper bound theorem of limit analysis, this paper presents a procedure for assessment of the influence of the soil anisotropy and nonhomogeneity on the stability of fissured slopes subjected to seismic action. By means of a mathematical optimization procedure written in Matlab software codes, the stability factors NS and λcφ are derived with respect to the best upper bound solutions. A series of stability charts are obtained in this paper, and then the critical locations of cracks are determined for cracks of known depth. The results demonstrate a significant influence of the soil anisotropy and nonhomogeneity on the stability of the fissured slopes and the location distribution of the cracks. In addition, the procedures for getting the factor of safety are put forward. It is shown that a decrease in the nonhomogeneity coefficient n0 and an increase in the anisotropy coefficient k could lead to the fissured slopes becoming unsafe. Finally, this article also illustrates the variation in the safety factor of fissured slopes under the impact of three factors (Kh, H1/H, and λ).

Estimation of Critical Safety Thickness of the Base against Confined Water Inrush for a Rectangular Foundation Pit

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Investigation on the Stability of Fissured Slopes Reinforced with Anchor Cables under Seismic Action

“…Michalowski [5] considered the effect of the crack-opening process on the stability of homogeneous slopes. Recently, the UBLA and the pseudostatic method were used to examine the stability of fissured slopes subjected to seismic loading [11,12,27]. As to slope reinforced with anchor cables, Li et al [15] and Zhao et al [28] proposed the UBLA method to consider the reinforcing of one row of anchors on slope stabilization under conditions of a rotational failure mechanism.…”