边坡与地基极限荷载的下限有限元解  

Solution of Ultimate Load for Slope and Foundation with Finite Element Lower Bound Limit Analysis Method

作　　者：孙君[1] 陶杰[1] 蒋刚[1] 

机构地区：[1]南京工业大学土木工程学院,南京210009

出　　处：《土工基础》2009年第5期50-54,共5页Soil Engineering and Foundation

基　　金：江苏省自然科学基金(BK2004420)

摘　　要：塑性极限分析下限有限元法是将计算域进行单元离散,以应力为未知数,极限荷载为目标函数,建立满足平衡条件、应力连续条件、应力边界条件、屈服条件的线性规划模型,利用优化方法求解线性规划问题。以具体算例为例,根据编制的塑性极限下限有限元的MATLAB程序,求解了边坡和地基的极限荷载,计算结果与解析解比较,验证了程序的正确性和有效性;同时分析了相关参数对极限荷载的影响及规律。The computational domain is discreted by the plastic ultimate lower bound limit analysis of FEM, and the mathematic linear programming model in which the stress is as the unknown quantity and the ultimate load is as the objective function is es- tablished to satisfy the equilibrium condition, stress concatenation condition, stress boundary condition, as well as yielding condition. The ultimate load for slope and foundation is solved by the Matlab program with finite element plastic lower bound limit analysis. Compared with the analytical solution, the program is correct and valid, meanwhile the effect and rule of ultimate load by related parameters is analyzed.

关 键 词：塑性极限分析 有限元 下限法 线性规划 MATLAB编程 

分 类 号：TU457[建筑科学—岩土工程]