Abstract The prediction of displacement is essential in the displacement-based seismic design of gravitational retaining structures with saturated backfill sand. Based on the sliding theory of Newmark,the stress-based excess pore pressure model and the cumulative damage theory,the models for predicting the time histories of excess pore pressure ratio,rotational and sliding critical accelerations were proposed. The methods of calculating the rotational and sliding displacements were established using the proposed models. The effects of soil parameters and ground motion parameters on sliding and rotational displacements of the wall were studied with the proposed methods and the coupling effect between sliding and rotational displacements was also analyzed. The results revealed that under the non-liquefaction condition of backfill sand,the sliding displacement of gravitational retaining structures with saturated backfill sand was very sensitive to the relative density and friction angle of soil at the base of the wall. The rotational displacement was sensitive to the magnitude of earthquake,horizontal and vertical seismic accelerations of ground motion,friction angle and relative density of soil and angle of friction of soil against wall back. The influence of excess pore pressure on sliding and rotational displacements cannot be ignored. The results about the coupling effect between rotational and sliding displacements indicated that when the sliding and rotation of wall occurred simultaneously,rotation and sliding inhibited each other.
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