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考虑中主应力的有限填土主动土压力计算方法OA

The Calculation of Active Earth Pressure for Finite Backfill Considering the Effect of the Intermediate Principal Stress

中文摘要英文摘要

在有限宽度的填土内,达到主动极限平衡时滑裂面将填土分为上下两部分,考虑墙后土体土拱效应及中主应力作用,采用水平微分单元法,建立墙后有限土体主动土压力理论计算公式,并利用数值解验证了理论解的合理性.结果表明:有限土体破裂角略小于朗肯破裂角,采用朗肯破裂角计算结果误差较小;有限土体主动土压力呈型凸曲线分布,有限土体主动土压力最大值出现在Ⅱ区内,在 0.80H~0.90H范围内;当 B/H≤0.1时,Hc随 B的增加呈减小趋势,当 B/H>0.1时,Hc=0.40(H-zc);b对σh产生影响的范围在 0~0.5,此时随着 b的增大,σh呈减小趋势,zc呈增大趋势,但Hc与(H-zc)的关系基本不随b变化.

In backfill with finite width,when the soil reached active limit equilibrium,the failure surface divided the backfill into upper and lower parts.Considering the soil arching effect and the influence of the intermediate principal stress in the soil behind the retaining wall,a theoretical formula for calculating the active earth pressure on finite soil masses was established using the horizontal differential slice method.The rationality of the theoretical solution was verified by numerical results.The results show that the failure angle of the finite soil mass is slightly smaller than the Rankine failure angle,and the error from using the Rankine failure angle is relatively small.The active earth pressure in finite backfill is distributed like a convex curve,with the maximum pressure occurring in Zone Ⅱ,within the height range of 0.80H to 0.90H.When B/H≤0.1,Hc decreases as B increases.When B/H>0.1,Hc=0.40(H-zc).The parameter b(intermediate principal stress coefficient)affects σh within the range of 0 to 0.5.As b increases,σh decreases and zc increases,while the relationship between Hc and(H-zc)remains essentially unchanged regardless of variations in b.

马鹏飞;马玥

兰州交大设计研究院有限公司,兰州 730070中国铁路兰州局集团有限公司,兰州 730015

建筑与水利

主动土压力有限填土填土宽度土拱效应极限平衡影响范围

active earth pressurefinite backfillbackfill widthsoil arching effectlimit equilibriumzone of influence

《路基工程》 2026 (4)

29-34,6

10.13379/j.issn.1003-8825.202412075

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