Static and Seismic Stability Charts for Three-Dimensional Cut Slopes and Natural Slopes under Short-Term Undrained Conditions

Abstract

In the strict framework of limit analysis, an analytical approach is derived to obtain the upper bound solutions for threedimensional inhomogeneous slopes in clays under undrained conditions. Undrained strength profiles increasing linearly with depth below the crest of the slope and below the outline surface of the slope are assumed representative of cut slopes and natural slopes, respectively. Stability charts are produced for the cut slopes and the natural slopes under both static and pseudostatic seismicloading conditions.The presented charts are convenient to assess the preliminary and short-termstability for 3Dslopesin practical applications,such as rapid excavation or buildupofembankments and slopes subjected to earth quakes.Comparedwith the available results from the finite element limit analysis method, a better estimate of the slope safety is obtained from the analytical approach.