华东交通大学学报2026，Vol.43Issue(1)：20-29,10.
基于非线性Mohr-Coulomb准则的边坡稳定性上限变分解析
Upper Bound Variational Analysis of Slope Stability Based on Nonlinear Mohr-Coulomb Criterion
摘要
Abstract
In order to consider the nonlinear characteristics of rock and soil materials in slope stability analysis,a rigorous upper bound variational analysis method for slope stability based on the deep-seated failure mechanism is proposed.Based on the upper bound theorem of limit analysis,a rotational failure mechanism of homogeneous slope was established.The sliding surface and its stress under limit state were obtained according to the Euler equation of variational principle,variational transversality conditions and boundary conditions.The implicit func-tion for the critical slope height was established via the energy balance equation,and the critical height of slope was optimized by particle swarm optimization algorithm.The slope factor of safety(FOS)was obtained.By com-paring,it is found that the potential sliding surface and the distribution of principal stress on the slope obtained by the proposed method are in good agreement with the calculation results of OPTUM G2 and FLAC 3D,and the error of safety factor is small.The results show that the variational analysis method can effectively evaluate the stability of homogeneous slope with sliding below the slope toe.关键词
边坡稳定性分析/基底破坏机制/非线性Mohr-Coulomb破坏准则/上限分析/变分分析/有限差分分析Key words
slope stability analysis/base failure mechanism/nonlinear Mohr-Coulomb failure criterion/upper bound analysis/variational analysis/finite difference analysis分类
天文与地球科学引用本文复制引用
周璐,陶志鹏,谢玉堂,罗伟,胡世红,赵炼恒..基于非线性Mohr-Coulomb准则的边坡稳定性上限变分解析[J].华东交通大学学报,2026,43(1):20-29,10.基金项目
国家自然科学基金地区项目(52268063) （52268063）
国家自然科学基金青年项目(52108320) （52108320）
江西省交通运输厅科技项目(2020Z0001,2021H0042,2021Z004) （2020Z0001,2021H0042,2021Z004）
江西省自然科学基金面上项目(20224BAB204063) （20224BAB204063）
