岩质边坡六面体滑楔的三维塑性极限分析  

3D plasticity limit analysis of hexahedral sliding wedge for rock slope

作　　者：王根龙[1,2] 张军慧[1] 晏长根[3] 

机构地区：[1]防灾科技学院防灾工程系,河北三河065201 [2]中国科学院地质与地球物理研究所,北京100029 [3]长安大学地质工程与测绘学院,陕西西安710054

出　　处：《长安大学学报（自然科学版）》2009年第3期77-80,共4页Journal of Chang’an University(Natural Science Edition)

基　　金：国家自然科学基金项目(40702055);防灾减灾青年科技基金项目(2008A10)

摘　　要：针对岩质边坡六面体滑楔的稳定性问题,运用三维塑性极限分析方法,借助极限分析虚功率方程,推导出安全系数上限解公式;通过典型算例对该分析方法进行了检验,并与Hoek教授介绍的二维刚体极限平衡方法进行了比较。结果表明:刚塑性的假定条件及虚功率原理的应用,有效地避免了滑面的的受力分析,简化了复杂的计算;该方法具有分析结论正确、公式概念清晰、表达式简洁和使用方便等特点。By means of 3D plasticity limit analysis method and virtual work rate equation in limited state, the upper bound solution of safety factor can be derived when hexahedral sliding wedge for the rock slope stability is treated as study object. A typical example is used to prove the new method mentioned in the paper; moreover, the authors compare the method with 2D rigid body limit equilibrium method which has been introduced by Professor Hoek. The results show that based on rigid-plastic presumption and virtual work-rate theorem, not only the stress analysis on sliding surface can be avoided, but also the complicated calculation can be simplified, the new method has many advantages, such as correctness for analysis conclusion, clarity of formulaic concept, succinctness of algebraic expression, facility for use etc. 1 tab, 4 figs, 12 refs.

关 键 词：岩土工程 上限解 六面体滑楔 虚功率原理 塑性极限分析 

分 类 号：TU45[建筑科学—岩土工程]