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Abstract

A three dimensional slope stability analysis based on the upper-bound technique of limit analysis is presented. A transitional rigid block collapse mechanism and an admissible velocity field are considered, and energy dissipation taking place along planar velocity discontinuities together with the work done by external forces are calculated. The minimum upper-bound solution is determined by optimizing the shape of the blocks. The software prepared on this basis can be used to calculate the safety factor in slope stability problems as well as the bearing capacity of shallow foundations near slopes in three dimensional situations.