摘要
由于屈服面梯度不连续,导致基于摩尔库伦屈服准则的三维边坡极限分析问题无法直接使用线性规划求解,从而计算效率低。采用等面积德鲁克-普拉格屈服准则来代替摩尔库伦屈服准则,并在考虑应力平衡、应力连续性条件和应力边界条件的基础上,用非线性规划的二阶锥规划成功构建了三维问题的极限分析下限法计算模型,可以方便地通过凸规划软件直接求解出三维边坡的应力场和安全系数,从真实解的下方收敛,两个算例证明了其可行性。
Due to the discontinuous gradient of the yield surface,the limit analysis of three-dimensional slope based on Mohr-Coulomb yield criterion can not be solved directly by linear programming,which causes an inefficient calculation.In this paper,the equal-area Drucker-Pluger yield criterion was used to replace the Mohr-Coulomb yield criterion.Considering the stress balance,stress continuity conditions and stress boundary conditions,we successfully constructed the limit analysis lower bound method calculation model of three-dimensional problems by using the second-order cone programming of nonlinear programming.The stress field and safety factor of three-dimensional slope can be directly solved by convex programming software,from the lower convergence of the real solution.Two examples are given to prove its feasibility.
作者
孙聪
熊威
李春光
SUN Cong;XIONG Wei;LI Chunguang(Wuhan Ecological Environment Design and Research Institute Co.,Ltd,Wuhan 430050,China;Changjiang Survey,Planning and Design Research Co.,Ltd,Wuhan 430010,China;Institute of Rock and Soil Mechanics,Chinese Academy of Sciences,Wuhan 430071,China)
出处
《武汉工程大学学报》
CAS
2023年第4期468-472,共5页
Journal of Wuhan Institute of Technology
基金
中国科学院国防科技创新基金(CXJJ-16M272)。
关键词
下限分析
德鲁克-普拉格准则
二阶锥规划
凸规划
边坡稳定性
lower limit analysis
Drucker-Prager criterion
second-order cone programming
convex programming
slope stability
作者简介
孙聪,博士,高级工程师。E-mail:sunson0324@qq.com。
