基于能量突变的强度折减法边坡失稳判据  

Slope's failure criterion based on energy catastrophe in shear strength reduction method

作　　者：刘新荣[1,2] 涂义亮[1,2] 钟祖良[1,2] 刘永权[1,2] 

机构地区：[1]重庆大学土木工程学院,重庆400045 [2]重庆大学山地城镇建设与新技术教育部重点实验室,重庆400045

出　　处：《中南大学学报（自然科学版）》2016年第6期2065-2072,共8页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(51108485;41372356);高等学校博士学科点专项科研基金资助项目(20110191120033);中央高校基本科研业务费科研专项基金资助项目(CDJZR12200012)~~

摘　　要：为了建立有限元强度折减法(SSR-FEM)中边坡失稳的能量突变判据,基于能量原理,推导强度折减过程中边坡能量反应的计算理论,二次开发折减过程中能量反应的FLAC3D计算程序。获得二维边坡能量反应随折减系数的变化规律,与常见3类失稳判据判定的安全系数对比。并利用三维边坡算例进一步验证能量突变判据的适用性。研究结果表明:当边坡达到临界失稳状态时,重力势能降、动能增量和耗散能增量均突然增大,而弹性应变能增量突然减小,表明能量突变可作为一类边坡失稳判据。能量突变判据具有物理意义明确、整体性强和易于判断等优点,尤其适用于三维边坡。In order to establish the slope＇s failure criterion of energy catastrophe in finite element method with shear strength reduction（SSR-FEM）, the theory for calculating the slope＇s energy response was deduced based on the energy principle, and the procedure for calculating the energy response was re-developed with FLAC3 D in the process of SSR-FEM. Then, the variation law of the energy response of the two-dimensional slope with the reduction factor was obtained, which was compared with the safety factors judged by the three common failure criteria. Finally, the applicability of energy catastrophe criterion was verified by a three-dimensional slope example. The results show that the gravitational potential energy decrement, kinetic energy increment and dissipated energy increment all increase suddenly when the slopes reach the state of critical failure, but the elastic strain energy increment contrariwise decreases. Thus, the energy catastrophe can be used as a slope failure criterion. The energy catastrophe criterion possesses some advantages,such as definite physical meaning, strong integrity and easy to judge. Moreover, it is especially suitable for threedimensional slopes.

关 键 词：有限元强度折减法 边坡 失稳判据 能量突变 

分 类 号：TU4[建筑科学—土工工程]