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铁道科学与工程学报

JOURNAL OF RAILWAY SCIENCE AND ENGINEERING

第12卷    第5期    总第68期    2015年10月

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文章编号:1672-7029(2015)05-1023-09
土体参数对多级均质边坡滑动面的影响
谢荣福1,李亮1,赵炼恒1,陈静瑜1,王志斌2

(1.中南大学土木工程学院,湖南长沙 410075;
2.湖南科技大学土木工程学院,湖南湘潭 411201
)

摘 要: 基于极限分析上限法和强度折减技术,根据边坡极限平衡状态下内外能耗相等原理,推导多级台阶式边坡安全系数极限上限表达式。编制序列二次规划法程序,通过搜索边坡最危险滑动面及其对应最小安全系数,探讨土体参数对多级边坡滑动面形态和位置的影响。研究结果表明:多级边坡滑动面形态和位置分布受无量纲参数ηφ =c/(γhtanφ)控制。当ηφ为定值时,黏聚力c或内摩擦角φ任一值改变对滑动面位置均无影响,滑动面位置保持不变;当ηφ增大时,边坡失稳模式由浅层破坏转变为深层破坏,滑动面由近坡面向边坡内部移动。同时,参数tanφ/F的值随着ηφ增大而逐渐减小。ηφ较小时,上陡下缓坡体外形不规则的边坡有可能发生局部失稳,且随着无量纲参数ηφ的增大,边坡滑动面形态有从局部破坏逐渐变化为整体破坏的趋势。本文研究有助于工程实践中判断多级边坡潜在滑动面位置,快速确定多级边坡安全系数,对高大边坡工程实际的设计施工与防护具有实用价值。

 

关键字: 多级边坡;滑动面;安全系数;强度折减技术;极限分析上限理论

The influence of strength parameters on sliding surface of multi-stage slope
XIE Rongfu1, LI Liang1, ZHAO Lianheng1, CHEN Jingyu1, WANG Zhibin2

1. School of Civil Engineering, Central South University, Changsha 410075, China;
2.School of Civil Engineering, Hunan University of Science and Technology, Xiangtan 411201, China

Abstract:According to the condition of equating the power of external force to internal dissipation along the velocity discontinuities in limit state, the formula of safety factor of multi-stage slope for limit analysis upper bound method can be deduced with the theory of limit analysis upper bound method and the strength reduction technical. The influence of strength parameters on sliding surface of multi-stage slope is discussed by searching for the location of the most dangerous sliding surface and the minimum safety factor through sequential quadratic programming. From the analysis results, the pattern and the location of failure surface is determined by the dimensionless parameterηφ =c/(γhtanφ). If ηφremains constant, the location of the critical slip surface is not affected by the cohesion c or internal friction angleφ. With the increase ofηφ, the failure mode changes from shallow slip to deep slip and the sliding surface moves from the surface near slope to the side slope internal. The value of tanφ/F decreases gradually when theηφis increasing.The slope which upper gradient is greater than the lower ones is tend to collapse with minorηφ. Besides, overall instability is also tend to occur with the increase ofηφ.It turns out to be helpful to judge the location of potential sliding surface and the safety factor of multi-stage slope, which is valuable in the design and construction of high slope engineering.

 

Key words: multi-stage slope; sliding surface; safety factor; strength reduction technical; upper bound theorem of limit analysis

ISSN 1672-7029
CN 43-1423/U

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