基于滑动面应力假设下的三维边坡稳定性极限平衡法研究  

Three-dimensional limit equilibrium method for slope stability based on assumption of stress on slip surface

作　　者：邓东平[1] 李亮[1] 

机构地区：[1]中南大学土木工程学院,湖南长沙410075

出　　处：《岩土力学》2017年第1期189-196,共8页Rock and Soil Mechanics

基　　金：中国博士后科学基金面上项目(No.2015M58072);中南大学博士后科学基金项目(No.201508);国家自然科学基金项目(No.51608541)~~

摘　　要：基于滑动面法向应力的简单计算模式及Mohr-Coulomb强度准则,多个计算参数被使用对滑动面应力进行合理假设,并依据三维滑动体所满足的静力平衡条件,推导三维边坡稳定性极限平衡解答。同时,在三维边坡稳定性分析中,以往研究成果被采用对滑动面剪应力方向进行假定,且基于所采用极限平衡方程数目的不同,由此实现三维边坡极限平衡非严格法、准严格法和严格法。经与经典算例对比,验证了方法的可行性,并分析了三维非对称滑动体时非严格法、准严格法和严格法之间所得结果的差异。研究表明:非严格法所得计算结果偏小,其分析得到的边坡稳定性较为保守;准严格法与严格法计算所得结果接近,故采用不完全满足滑动体所有静力平衡条件的准严格法同样能得到较为可靠的安全系数。此外,所提方法构建了合理的滑动面应力假设,且求解过程简单,无需迭代计算,便于编程,从而利于工程应用。Through simple calculation of the normal stress on slip surface and the Mohr-Coulomb strength criterion, various calculation parameters are introduced and the stresses on slip surface are properly assumed, from which the limit equilibrium solution for three-dimensional slope stability is derived based on the static equilibrium conditions that three-dimensional sliding body satisfies Meanwhile, in stability analysis of three-dimensional slope, the direction of shear stress on slip surface is also assumed based on the previous research results, and the nonstrict method, quasi-strict method and strict method are adopted for three-dimensional slope stability analysis： By comparing with the classical results, the proposed method is validated, and the differences among various methods are analyzed. It is shown that the nonstrict method yields the smallest factor of safety, i.e., a conservative result; the quasi-strict method is similar to the strict method, yielding reliable results in calculating the safety factor of slope. In the proposed method, reasonable assumptions are made for the stresses on slip surface, and the simple solution process can be easily implemented into a computer code.

关 键 词：三维边坡 极限平衡 稳定性分析 滑动面应力 安全系数 

分 类 号：TU43[建筑科学—岩土工程]