摘要
介绍了三维塑性极限分析下限法的基本原理。将计算区域离散为有限个三维空间单元,利用极限分析中的下限定理,借助有限元思想建立数学规划模型,并引入非线性规划的数值方法寻求问题的下限解。以均匀土质边坡的极限荷载作为算例,比较了所得数值解与经典塑性力学理论解,论证了该方法的正确性。
This paper describes the lower bound theory of 3-D plastic limit analysis. The static stress field is established by means of 3-D finite element technique. Based on the lower bound principles of limit analysis, a mathematical model is established by means of finite element method. The lower bound solution of the model is obtained by nonlinear programming. As an example, the bearing capacity of a homogeneous slope is analyzed, and the comparison between lower bound limit analysis and classical plasticity theory illustrates the correctness of the method.
出处
《岩土力学》
EI
CAS
CSCD
北大核心
2004年第10期1627-1631,共5页
Rock and Soil Mechanics
关键词
三维有限元
极限分析下限
非线性规划
Finite element method
Mathematical models
Nonlinear equations
Nonlinear programming
Plastic deformation
Slope stability
