第38卷第6期 2016年12月
土木建筑与环境工程
Journal of Civil,Architectural &.Environmental Engineering
doi:10. 11835/j.issn. 1674-4764.2016. 06. 001
非线性Mohr-Coulomb破坏准则下边坡
可靠度上限
贺志军，曹吉，赵炼恒，瞿召乾，杨胜博
（中南大学土木工程学院，长沙410075）
Vol. 38 No. 6 Dec.2016
可
摘要：传统边坡可靠度分析往往在岩土参数服从线性Mohr-Coulomb（简称线性M-C)破坏准则的假设条件下进行，并且常常采用极限平衡法或有限元法计算安全系数。然而，岩土介质破坏准则具有一定的非线性。为能更加实际地描述岩土破坏机理和得到严格精确的解，基于非线性Mohr-Coulomb(简称非线性M-C)破坏准则，结合极限分析上限法和蒙特卡洛法，进行边坡可靠度上限分析。当非线性参数m=1时，与等效的线性M-C破坏准则进行对比计算，验证了方法的可行性。同时，将初始粘聚力、内摩擦角arctan(c。/o.)和非线性参数作为随机变量且服从截断正态分布，进行了参数变异性和敏感性影响分析。研究表明：非线性M-C破坏准则下，边坡可靠度随初始粘聚力、内摩擦角arctan(ca/a)和非线性参数变异性的增大而减小；边坡可靠度随初始粘聚力和内摩擦角
arctan(co/o,)的增大而增大，随非线性参数的增大而减小。关键词：边坡；可靠度；破坏准则；极限分析；蒙特卡洛法
中图分类号：TU457
文献标志码：A
文章编号：1674-4764(2016)06-0001-09
Upperbound reliabilityanalysis of slopewith nonlinear Mohr-Coulombfailure criterion
HeZhijun，CaoJi，ZhaoLianheng，QuZhaoqian，YangShengbo(School of Civil Engineering, Central South University, Changsha 410075, P. R. China)
Abstract:Traditional reliability analysis of slope is often performed under linear Mohr-Coulomb (M-C) failure criterion assumption and using limit equilibrium method or finite element method which is for calculating the safety factor. However, the failure criterion of geomaterials is nonlinear. In this paper, upper bound reliability analysis of slope is performed using upper bound limit analysis and Monte Carlo simulation based on nonlinear Mohr-Coulomb failure criterion which is for a more practical description of the failure mechansim of geomaterials and obtaining strictly accurate answers. When the nonlinear parameter m is equal to one, the expressions in this study convert into linear Mohr-Coulomb failure
收稿日期：2016-03-04
基金项目：国家自然科学基金（51208522.51478477）；贵州省交通运输厅科技项目（2012122033、2014122006）作者简介：贺志军（1965-），男，博士，研究员，主要从事交通运输工程研究，（E-mail)13807316922139.com
赵炼恒（通信作者），男，博士后，副教授，博士生导师，（E-mail)zlh8076163.com。
Received :2016-0304
Foundation item: National Natural Science Foundation of China (No. 51208522, 51478477); Guizhou Provincial
Department of Transportation Foundation(No. 2012122033, 2014122006)
Author brief:He Zhijun (1965- ), PhD, research fellow, main research interest:traffic &. transportation engineering, (E
mail) 13807316922@139.com.
Zhao Lianheng (corresponding author), post-doctoral, associate professor, doctoral supervisor, (E-mail) zlh8076163.com.