地震效应下三维非均质土坡稳定性极限分析  

Three-dimensional seismic stability of inhomogeneous soil slopes using limit analysis method

作　　者：李雨浓[1,2] 刘畅 王立伟[1,2] LI Yu-nong;LIU Chang;WANG Li-wei(School of Civil Engineering&Mechanics,Yanshan University,Qinhuangdao,Hebei 066004,China;Key Laboratory of Green Construction and Intelligent Maintenance for Civil Engineering of Hebei Province,Yanshan University,Qinhuangdao,Hebei 066004,China)

机构地区：[1]燕山大学建筑工程与力学学院,河北秦皇岛066004 [2]燕山大学河北省土木工程绿色建造与智能运维重点实验室,河北秦皇岛066004

出　　处：《岩土力学》2022年第6期1493-1502,共10页Rock and Soil Mechanics

基　　金：国家自然科学基金青年科学基金(No.41807295)。

摘　　要：基于极限分析上限定理,采用拟动力法研究了地震效应下非均质土坡的三维稳定性,并通过重度加大法(GIM)推导出边坡安全系数的显式表达式。此外,采用遗传算法进行优化,将所得结果进行对比验证,详细分析了地震条件下相关参数对边坡稳定性的影响。分析结果表明:边坡高度一定时,宽高比、边坡倾角的增大以及土体内摩擦角、非均质系数的减小均会造成安全系数的降低;拟静力法获得的结果相比于拟动力法较大,两种方法结果的差值会随着水平地震系数、有效内摩擦角的增大而增大,随着边坡倾角的增大而减小;土体放大系数的增大会导致安全系数减小,而地震波周期及波速的变化几乎对安全系数没有影响;滑动面轨迹受水平地震系数的影响较大,而受非均质系数的影响相对较小。Based on the upper bound limit analysis method,the three-dimensional seismic stability of inhomogeneous soil slope is investigated using the pseudo-dynamic approach,and the explicit expression of the factor of safety is obtained by gravity increase method(GIM).In addition,the genetic algorithm is used for optimization and the results are verified by comparing with other published data.Parametric studies are performed to investigate the effect of relevant parameters on stability of the slope.The results indicate that for the slope with the given height,the increase of width-height ratio and slope inclination angle,and the decrease of internal friction angle and inhomogeneous coefficient will lead to the reduction of factor of safety.The pseudo-static method yields a larger result compared with the pseudo-dynamic method,and the difference between the results of the two approaches increases with the increases of the horizontal seismic coefficient and the effective internal friction angle,but decreases with the increase of the slope inclination.The increasing of the soil amplification factor can lead to a significant decrease in the factor of safety of the slope,while changes in the period and velocity of the shear wave have little effect on the stability of the slope.The trace of the slip face is greatly influenced by the horizontal seismic coefficient,but less affected by the inhomogeneous coefficient.

关 键 词：非均质土坡 三维稳定性 极限分析 拟动力法 地震效应 

分 类 号：TU435[建筑科学—岩土工程]