假定有限填土为单滑块或双滑块破坏模式,引入上限法和Mononobe-Okabe拟静力法,考虑地震与超载共同作用,推导得到了墙背倾斜粗糙、填土面倾斜时有限填土主动土压力上限解。通过与已有室内模型试验结果对比,验证了本文方法的合理性。同时,算例分析表明:有限填土挡墙上的主动土压力强度呈非线性分布;当有限填土宽度小于满足半无限体假设的临界值时,其主动土压力值小于库仑解,且填土宽度越窄二者差值越大;有限填土主动土压力随水平地震系数k和填土面上超载q的增大而增大,但滑裂面倾角随k的增大而减小,随q的增大而增大。
Assuming the failure mode of limited backfill to be single wedge mode or double-wedge mode,by introducing the upper bound theorem and the quasi-static method of Mononobe-Okabe,the upper bound solutions applicable to general cases featured by tilt frictional retaining wall and inclined backfill surface are derived considering the co-application of earthquake and surcharge.The reasonability of the proposed method is verified by comparing with the testing result of the reported laboratory model tests.Meanwhile,the example case analysis reveals that(1) the distribution of active earth pressure on the retaining wall with limited backfill is non-linear;(2) when the width of limited backfill is less than the threshold of semi-infinite boundary assumption,the active earth pressure is less than Coulomb's solution,and the gap extends as the filling width narrowing down;(3) the active earth pressure increases with the rise of horizon seismic coefficient k and surcharge q on the filling surface,while the crack angle of slip surface decreases with the increase of k and increases with the increase of q.