基于三参数破坏准则的均质边坡稳定性上限分析  

Upper Bound Analysis of Homogeneous Slope Stability Based on Three-parameter Failure Criterion

作　　者：赵炼恒[1,2,3] 赵伟龙 韦彬 贾光龙 胡世红 ZHAO Lianheng;ZHAO Weilong;WEI Bin;JIA Guanglong;HU Shihong(School of Civil Engineering,Central South University,Changsha 410075,China;Hunan Provincial Key Laboratory for Disaster Prevention and Mitigation of Rail Transit Engineering Structures(Central South Univer-sity),Changsha 410075,China;MOE Key Laboratory of Engineering Structures of Heavy Haul Railway(Central South University),Changsha 410075,China;Shenzhen Integrated Transportation Design Research Institute Co.Ltd.,Shenzhen 518003,China)

机构地区：[1]中南大学土木工程学院,湖南长沙410075 [2]轨道交通工程结构防灾减灾湖南省重点实验室(中南大学),湖南长沙410075 [3]重载铁路工程结构教育部重点实验室(中南大学),湖南长沙410075 [4]深圳市综合交通与市政工程设计研究总院有限公司,广东深圳518003

出　　处：《湖南大学学报（自然科学版）》2023年第7期188-199,共12页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(51978666);湖南省杰出青年科学基金资助项目(2021JJ10063);湖南省交通运输厅科技进步与创新项目(202008,202115)。

摘　　要：非线性特征是岩土体材料的固有特性.研究表明,在此特征条件下,基于旋转失稳机制的均质边坡潜在滑动面并非单一对数螺旋线.本文假定岩土体材料服从三参数非线性强度准则,在极限分析上限定理的基础上,构建了均质边坡旋转失稳机制;通过拟静力方法考虑地震荷载,基于力学平衡方程结合变分原理获得边坡临界滑动面及其应力分布的微分方程组,采用Runge-Kutta方法进行求解,并基于虚功率原理结合免疫算法获得边坡最小临界高度.通过与有限元极限分析法(FELA)的结果进行对比验证了非线性上限变分分析方法的准确性和有效性.在此基础上,分析了无量纲强度参数(T、A、n)、水平地震加速度系数(kx)、边坡倾角(β)等因素对边坡稳定系数(Fn)、潜在滑动面及其应力分布的影响规律.本方法无需假定边坡潜在滑动面,丰富了边坡稳定性非线性分析理论,可为边坡的加固设计提供理论支持和有益参考.Nonlinearity is an inherent property of geo-materials.Under this property condition,the potential sliding surface of a homogeneous slope based on the rotational failure mechanism is not a single log-spiral under the nonlinear failure criterion.Therefore,the geo-materials of the slope are assumed to obey the three-parameter nonlinear strength criterion,and the rotational failure mechanism of the homogeneous slope was constructed based on the upper bound theorem of limit analysis.The seismic load was introduced through a pseudo-static method,and the differential equations of the critical sliding surface and its corresponding stress distribution of homogeneous slope were obtained according to the mechanical equilibrium equations and the variational principle.And then the equations were solved by the Runge-Kutta method.According to the virtual power principle,the minimum critical height of the slope was optimized through Immune Algorithm(IA).The accuracy and validity of the nonlinear upper bound variation analysis method were verified by comparing it with the results of finite element limit analysis(FELA).On this basis,the effects of dimensionless strength parameters(T,A,n),the horizontal seismic acceleration coefficient(kx),and slope angle(β)on the slope stability factor Fn,potential sliding surface,and its stress distribution were analyzed.There is no need to assume the potential sliding surface of the slope,and this work enriches the nonlinear analysis theory of slope stability and provides theoretical support and useful reference for slope reinforcement design.

关 键 词：三参数非线性破坏准则 边坡稳定性 上限变分分析 稳定系数 临界滑动面 免疫算法 

分 类 号：TU435[建筑科学—岩土工程]