Stability Charts for 3D Failures of Homogeneous Slopes

Three-dimensional limit analysis of seismic displacement of slope reinforced with piles

“…The limit equilibrium method leads to conservative estimates of the safety of 3D slopes. This is in good agreement with the research of [11]. Moreover, comparing to the critical seismic acceleration coefficient k c analyzed by [15] for 2D slopes, under the condition of the parameter B/H ¼15 in 3D mechanism, a verification of the accuracy of k c using the random trials method is shown in Table 2.…”

“…It is shown in Fig. 3 that the trends of upper-bound results are similar to those of [12] and [11], but the critical values of c u /γHF obtained by this method are slightly lower than those presented by [12]. This means that the factors of safety derived from the limit analysis method are higher than those calculated from the limit equilibrium method.…”

“…(This transition has been illustrated by researchers for finding the critical value of γH/c, considering that the constraint on the width of the mechanism is sufficiently large, e.g. B/H4 10 [20,11].…”

Three-dimensional slope stability assessment of two-layered undrained clay

“…Limit analysis method based 3D slope stability analyses have also been performed [13,20,[51][52][53]. To date, various 2D and 3D chart solutions based on limit analysis method have also been produced, such as the studies by Michalowski [13,19] and Viratjandr and Michalowski [23].…”

Three-dimensional reinforced slopes: Evaluation of required reinforcement strength and embedment length using limit analysis

“…However, many reinforced earth structures are three-dimensional in nature. In addition, it is commonly acknowledged that two-dimensional solutions are conservative when analyzing the stability of homogeneous straight slopes of finite width where end effects are ignored (Leshchinsky and Baker, 1986;Baker and Leshchinsky, 1987;Leshchinsky, 1990;Griffiths and Marquez, 2007;Michalowski, 2010;Li et al, 2010;Gao et al, 2013aGao et al, , 2013b.…”