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Abstract The rock slopes in high-intensity areas are developed with cracks and distributed randomly. The deformation damage of the rock slopes will occur when they evolve into shattered rock mass after suffering multiple phases of strong earthquake. Therefore,it is significant to explore the shattering cumulative effect of multiple phases of strong earthquake on the stability of the step-like rock slopes. In this paper,the shattering cumulative effect of the step-like rock slope was mainly researched via analyzing the dynamic displacement response of the step-like rock slope model,which was performed by means of the large-scale shaking table model test. The residual deformation was represented by the baseline offset,the ultimate failure on the surface of the slope model was induced by the mutual effect of residual deformation and dynamic deformation caused by seismic excitation. The shattering cumulative effect was analyzed via the proposed residual deformation ratio,and the application of this analysis method was verified by Arias-Intensity magnification. The results show that the residual deformation ratio can analyze the shattering cumulative effect of the slope more clearly,which sufficiently considers the mutual effect of the continuous residual deformation and seismic dynamic. The deformation and failure of the step-like rock slope start from local regions,in which the interior fold line of the step platform and the top of the step-like slope are the areas prone to develop with incipient cracks. Based on the analysis of residual deformation and Arias-Intensity energy,the shattering cumulative process of the slope is concluded in three steps,including slow deformation,accelerated deformation and unstable failure. These two methods can be alternately adopted in analyzing,helping achieve a more precise prediction of the dynamic deformation of the slope and presenting a more credible reference for the design of earthquake fortification scheme for slopes.
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