倾斜坡面时挡土墙后粘性填料的侧向土压力解析解

Analysis of the Lateral Earth Pressure in the Retaining Wall with the Face of Slope and Filled with Viscous Filler

Terzaghi(1943)针对填土倾斜情况下粘性填土的侧向土压力问题提出了图形解法,由于这种方法需采用多个应力莫尔来确定墙后填土的应力状态,从而使实际中挡土墙侧向土压力求解变得十分繁杂。本文基于极限分析下限定理,提出了填土面倾斜情况下粘性土的侧向土压力的解析解答,并通过具体数值计算以表格的形式给出了不同的φ,α及c/γz情况下的主动和被动土的压力系数值,以便在工程实践中直接采用。

Terzaghi had put forward the figure solution for the lateral earth pressure of the retaining wall filled with the viscous filler under inclination, which is complex in the practice because it has needed many stress Mohr to decide the stress statues of the backfill. In this paper, a theoretical solution about the active and passive earth pressures of viscous filler in the retaining wall with an inclined surface is developed on the basis of the lower-bound theorem of limit analysis, and their figures are given as the tabular form under the different condition of φ,α and c/γz based on the concrete value calculation, which can be referenced in engineering practice.