中南大学学报(自然科学版)2016,Vol.47Issue(6):2065-2072,8.DOI:10.11817/j.issn.1672-7207.2016.06.034
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
摘要
Abstract
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 FLAC3D 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 three-dimensional slopes.关键词
有限元强度折减法/边坡/失稳判据/能量突变Key words
strength reduction finite element method/slope/failure criterion/energy catastrophe分类
建筑与水利引用本文复制引用
刘新荣,涂义亮,钟祖良,刘永权..基于能量突变的强度折减法边坡失稳判据[J].中南大学学报(自然科学版),2016,47(6):2065-2072,8.基金项目
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)(Projects(51108485,41372356) supported by the National Natural Science Foundation of China (51108485,41372356)
Project(20110191120033) supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China (20110191120033)
Project(CDJZR12200012) supported by the Fundamental Research Funds for the Central Universities) (CDJZR12200012)