考虑中主应力影响的朗肯主动土压力研究  

Study on Rankine Active Earth Pressure Considering the Effect of Intermediate Principal Stress

作　　者：马玥 夏琼[1,2] 王旭[1,2] MA Yue;XIA Qiong;WANG Xu

机构地区：[1]兰州交通大学土木工程学院,甘肃兰州730070 [2]兰州交通大学土木工程国家级实验教学示范中心,甘肃兰州730070

出　　处：《重庆建筑》2025年第1期57-60,68,共5页Chongqing Architecture

摘　　要：针对朗肯理论不能计算墙背倾斜、填土表面倾斜情况下的土压力,以及M-C准则未能考虑中主应力的问题,基于统一强度理论及朗肯理论,首先推导了墙背倾斜、填土表面倾斜情况下考虑中主应力的主动土压力计算公式;接着采用数值模拟对推得的理论公式进行验证;最后对中主应力系数、墙背倾角及填土倾角3类土压力影响因素进行分析。结果表明:理论解与模拟解在大部分区间内拟合较好,通过数值模拟验证了公式的合理性;随着中主应力系数的增大,主动土压力值呈非线性减小;墙背倾角一定时,随着填土面倾角增大,主动土压力呈非线性增大;填土表面倾角一定时,随着墙背倾角增大,主动土压力呈非线性增大。The classical Rankine theory cannot account for earth pressure under conditions of inclined retaining walls or sloped backfill surfaces,and the Mohr-Coulomb(M-C) criterion neglects the effect of intermediate principal stress.To address these limitations,this study derives a formula for calculating active earth pressure under the conditions of inclined retaining walls and sloped backfill surfaces,based on the unified strength theory and Rankine theory,while considering the influence of intermediate principal stress.The derived theoretical formula is validated through numerical simulations,and the effects of three key factors—intermediate principal stress coefficient,wall inclination angle,and backfill slope angle—on earth pressure are analyzed.The results show that the theoretical solutions agree well with numerical simulation results in most intervals,verifying the validity of the proposed formula.As the intermediate principal stress coefficient increases,the value of active earth pressure decreases nonlinearly.When the wall inclination angle is constant,the active earth pressure increases nonlinearly with the increase of the backfill slope angle.Conversely,when the backfill slope angle is constant,the active earth pressure also increases nonlinearly with the increase of the wall inclination angle.

关 键 词：挡土墙 主动土压力 中主应力 理论分析 数值模拟 

分 类 号：TU411.6[建筑科学—岩土工程]