摘要
结合塑性极限分析下限法理论、有限元离散技术以及非线性数学规划手段,将有限元塑性极限分析法运用于岩质边坡的稳定性分析。基于非线性Mohr-Coulomb屈服条件、平衡条件、边界条件以及间断面应力连续条件,提出塑性极限分析中无厚度节理单元、等厚度节理单元的有限元模式,建立带节理单元的有限元塑性极限分析非线性数学规划模型,并提出非线性规划的求解策略。最后对3个岩质边坡的稳定性进行分析,验证该方法的可行性。
Based on the theory of lower bound limit,finite element discreteness technique and nonlinear mathematical programmingt,he finite element plastic limit analysis method is used to evaluate the stability of rock slope.By using nonlinear Mohr-Coulomb yield condition,equilibrium condition,stress boundary condition and stress discontinuity equilibrium conditiont,he finite element modes of joint elements with zero thickness and equal thickness are proposed in the plastic limit analysis;and the nonlinear mathematical programming models of finite element plastic limit analysis,which contains joint elements,are established.Then,the optimization strategy of nonlinear mathematical programming problem is provided.At last,the stabilities of three 2D slopes are analyzed with the presented method.The results are compared with those obtained by other approaches.The feasibility of the method is verified.
出处
《岩石力学与工程学报》
EI
CAS
CSCD
北大核心
2007年第4期747-753,共7页
Chinese Journal of Rock Mechanics and Engineering
基金
教育部科学技术研究重点项目(106107)
关键词
边坡工程
塑性极限分析
岩质边坡
节理
有限元
非线性规划
slope engineering
plastic limit analysis
rock slope
joint
finite element
nonlinear programming
