The main aim of this study is trying to contribute to a better understanding of the role of surface roughness basal planes on toppling-related instability phenomena. In this way, the authors focus on the stability against toppling of a single block resting on a regular rough surface. To do that they have first artificially created sample rock blocks with a regular rough base and tested them against toppling in a tilt-test machine. The authors have also developed analytical formulations to theoretically estimate toppling instability under these circumstances and have carried out simple numerical DEM models to reproduce the corresponding tests. The comparison between obtained analytical and numerical results and the physical model response indicated good representativeness of both numerical and analytical approaches. Geometry characteristics of the saw cut artificially created blocks did affect results, so the numerical and analytical models were adapted by including an equivalent curvature radius in the corner of the cut block around which the overturning phenomenon takes place to account for this geometrical effect. Further research will extend these results to the case of blocks with natural irregular rough surfaces.
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