边坡变形破坏过程的大变形有限元分析-岩土力学.pdf

文章编号：1000－7598 －(2003) 04 ―0644 ―05 边坡变形破坏过程的大变形有限元分析 1 2 1 3 3 周翠英 ，刘祚秋 ，董立国 ，尚 伟 ，林鲁生 （ 1.中山大学理工学院应用力学与工程系，广东 广州，510275； 2.中山大学地球科学系，广东 广州，510275； 3.广东省东深供水改造工程建设总指挥部，广东 东莞，510800 ） 摘 要：在用有限元法分析边坡稳定性时，引入计算大变形问题的更新的拉格朗日方法，推导了边坡大 变形弹塑性有限元分析的方程式。采用边坡某一幅值的等效塑性剪应变区，从坡脚到坡顶贯通前的折减 系数作为边坡安全系数。在此基础上，采用弹塑性大变形有限元分析软件计算了均质土坡不同坡角的安 全系数，将其与小变形分析的结果进行了对比分析，结果表明：用弹塑性大变形有限元分析边坡失稳破 坏的过程中，既考虑了岩土材料的非线性，又考虑了边坡的几何非线性，使计算结果更趋合理。并结合 东深供水改造工程BIII 边坡进行了大变形有限元分析，计算结果与勘查到的实际边坡的滑动面分布位置 2 比较接近。研究表明：该方法尤其适宜于软土类边坡或基坑的稳定性分析。 关 键 词：边坡；稳定性分析；强度折减法；大变形分析；更新的拉格朗日法 中图分类号：TU432，P642 文献标识码：A Large deformation fem analysis of slopes fallure 1 2 1 3 3 ZHOU Cui-ying , LIU Zuo-qiu , DONG Li-guo , SHANG Wei , LIN Lu-sheng ( 1. Department of Applied Mechanics and Engineering Sun Yat-sen University, Guangzhou 510275, China; 2. Department of Earth Sciences,, Sun Yat-sen University, Guangzhou 510275, China; 3. General headquarters of water supply reconstruction projection from Dongjiang to Shenzhen, Dongguan 510800, China) Abstract: The updated Lagrangian method of large deformation for the stability analysis of slopes is introduced; and then the equation of elasto-plastic large deformation FEM for the large deformation of slopes are presented. The strength reduction coefficient before a well-defined equivalent plastic shear strain (EPSS) running through from the bottom to the top of a slope is considered as its safety factor. The safety factors of homogeneous soil slope with different gradients are calculated by elasto-plastic large strain FEM method. The results are well coincident with the results calculated by small strain FEM; The elasto-plastic large strain(EPLS) FEM ana