坡顶局部荷载下边坡的二维和三维稳定分析(Ⅱ)——极限分析的上限法  

Two and Three-dimensional Stability Analyses of Slopes with Local Load on Top Surface(Ⅱ)——Using Upper-bound Method of Limit Analysis

作　　者：杨雪强[1] 区兆光[2] 郑榕明[3] 冯颖匡[4] 李彰明[1] 

机构地区：[1]广东工业大学建设学院,广东广州510006 [2]香港大学土木工程系 [3]香港理工大学土木与结构工程系 [4]香港城市大学建筑系

出　　处：《广东工业大学学报》2009年第1期1-8,共8页Journal of Guangdong University of Technology

摘　　要：在上限理论的框架内,借助提出的三维破坏模式,探讨了坡顶均布矩形超载下边坡的安全系数随荷载长宽比的变化规律,相应的安全系数计算结果与FLAC有限元的计算结果进行了有益的对比,也与室内模型实验结果进行了对比,从而对上限解法求解三维边值问题的可靠性进行了较深入的论证.对同一边坡的二维和三维稳定问题,上限法和FLAC有限元法尽管破坏机制和数值处理过程不同,但均可得出大致相同的安全系数,基本实现了殊途同归.上限法和有限元法都是有效的土坡稳定分析方法,两者相辅相成,互为验证.Combining kinematically admissible three-dimensional slope failure mechanism based on the upperbound theory of limit analysis, slope safety factor with different ratio of length to width of uniform rectangle pressure acted on slope top surface is studied systematically, and is compared thoroughly with the safety factors calculated by using FLAC software, and further with model test results, corresponding reliability of the upper-bound solutions to the three-dimensional slope stability is further discussed and verified. For the same three-dimensional slope stability problem, it is demonstrated that the same safety factor could be approached approximately by upper-bound theory and finite element method separately in spite of different failure mechanisms and calculation processes adopted by them. The results show that upper-bound theory and finite element method are both effective tools for evaluating three-dimensional slope stability.

关 键 词：土坡 上限解 三维破坏模式 有限元法 安全系数 

分 类 号：O32[理学—一般力学与力学基础]