摘要
提出基于商业软件ABAQUS的边坡稳定分析的随机有限元法。采用Karhunen-Loeve级数展开方法建立土体抗剪强度参数的随机场模型,在强度折减有限元法的基础上模拟边坡失稳过程,并采用塑性屈服区贯通以及计算不收敛判据作为边坡失稳判据,利用python脚本文件分析最危险滑面分布规律。运用该方法研究土体内摩擦角和黏聚力的空间变异性对边坡稳定性的影响。研究结果表明:所提的边坡稳定分析的随机有限元法操作简单易于实现,能够从安全系数以及最危险滑面2个方面分析土体抗剪强度参数的空间变异性对边坡稳定性的影响;内摩擦角随机场中相关长度的改变对边坡的稳定性影响不明显;而黏聚力的空间变异性对边坡稳定性影响则相对更大,黏聚力随机场中水平与竖直相关长度的比值不同,边坡稳定性的变化规律不同。此外,内摩擦角与黏聚力的相关系数越大,失效概率越高,最危险滑面分布越广。
A stochastic finite element method was proposed to analyze slope stability based on ABAQUS. Firstly, the Karhunen-Loeve （K-L） expansion method was used to build the random field model of shear strength parameters. Thereafter, the strength reduction finite element method was adopted to simulate the process of slope failure. The criteria for evaluating stability of slope were connectivity of plastic zone and convergence of numerical computation. Finally, the distribution of critical slip surfaces was determined by python script. The proposed method was used to study the effect of spatial variation of internal friction angle and spatial cohesion on the slope stability. The results indicate that the proposed stochastic finite element method is easy to operate and implement. It can analyze the effect of spatial variation of soil parameter on the slope stability from two aspects：safety factor and the critical slip surface. The stability of a slope with different correlation length of friction is similar. The variation trend of slope stability is contrary with two different ratio of horizontal correlation length to vertical correlation length while considering spatial variation of cohesion. Besides, as the correlation coefficient of soil parameters increases, the failure probability is higher, and the distribution of critical slip surface is wider.
出处
《中南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2016年第11期3899-3908,共10页
Journal of Central South University:Science and Technology
基金
长江科学院开发研究基金资助项目(CKWV2015224/KY)
国家自然科学基金资助项目(51379161)~~
关键词
空间变异性
边坡稳定性
强度折减有限元法
随机有限元方法
spatial variation
slope stability
strength reduction finite element method
stochastic finite element method
