基于极限分析法的边坡临界高度及稳定性研究

摘要

基于塑性极限分析理论,优化了受到地震力作用的均质土坡在破坏面为对数螺旋面形式时的临界坡高计算模型,并在此基础上,引进强度折减假定,推导了地震作用下边坡的对数螺线破坏形式的安全系数计算公式.该计算模型不仅能考虑地震力的作用,而且能考虑不同安全系数要求对临界高度的影响.通过两个算例将文中提出的模型与传统极限平衡法对比,文中方法计算安全系数较瑞典条分法大,与简化Bishop法计算所得结果非常接近.%A computational model for critical height of simple homogeneous slopes is presented based on the upper bound limit analysis theorem and the shear strength reduction technique with the rotational failure mechanism and the failure surface assumed to be a log-spiral surface. The seismic force and factor of safety are both introduced into the analysis of slopes in this method. The results are compared with those of the limit equilibrium method, indicating that the results are in agreement with those from the simplified Bishop method, a bit more unconservative than those from the Fellenius method.