基于区间有限元方法的边坡稳定性分析  

Slope Stability Analysis Based on Interval Finite Element Method

作　　者：胡谢飞[1] 陈征宙[1] 张明瑞[1] 王双[1] 黄彬彬[1] 

机构地区：[1]南京大学地球科学与工程学院,南京210093

出　　处：《防灾减灾工程学报》2013年第4期405-411,共7页Journal of Disaster Prevention and Mitigation Engineering

基　　金：国家自然科学基金项目(41272313)资助

摘　　要：在边坡的稳定性分析中,岩土体物理力学参数取值具有一定的区间性。以区间变量表示工程中的不确定性量,将区间数学与有限元方法结合起来,采用区间有限元法对边坡稳定性进行不确定分析。在潜在滑动面信息已知的前提下,在传统确定性有限元程序的基础上,编制区间有限元程序,计算边坡的位移、应力和应变区间,并且基于剪应力破坏准则的安全系数定义法求解安全系数区间。通过工程算例,并与传统的Bishop法计算结果进行对比分析,验证了该方法的可行性和有效性。在此基础上,进一步探讨了岩土参数区间的变异性对边坡安全系数区间的影响,结果表明,重度、粘聚力及内摩擦角区间对安全系数区间的影响较大。Physical and mechanical parameters of rock and soil are uncertain in slope stability analysis.Interval variables are adopted to denote the uncertain parameters in engineering.The interval finite element method,which is combined by interval mathematics and finite element method,is used for uncertain analysis of slope stability.On the basis of the traditional certain finite element program,the interval finite element program aiming at a known potential sliding surface is designed to calculate the displacement,stress and strain interval of a slope.Furthermore,the safety factor interval is also obtained according to the definition of shear stress failure criteria.It is verified that this method is feasible and effective through the project example and comparing with the calculation results obtained by traditional Bishop method.A further discussion on the influence of variability of the geotechnical parameters on slope safety factor is performed.Results show that unit weight,cohesion and internal friction angle interval have significant effects on the safety factor interval.

关 键 词：区间有限元 边坡稳定性 区间变量 安全系数 

分 类 号：TU352.1[建筑科学—结构工程]