考虑节理单元的弹塑性概率计算方法

A Method of Elastoplastic Probability Considering Joint Unit

阐述了考虑节理单元后的三维随机有限元计算方法，并结合塑性理论将岩土工程中的塑性屈服准则引入随机有限元方法中．结合具体屈服准则推导了随机有限元的基本计算公式，给出考虑节理单元及塑性屈服问题在三维情况下的位移、应力的均值与方差，利用这些公式可计算出每一单元的屈服概率从而求出结构的可靠度。

In this paper, a method of 3-D elasto plastic probability FEM considering joint unit is introduced. With the combination of plastic theory with probability FEM, the formulation of probability FEM of D-P yield law is derived. In this formulation, joint units are considered. From this formulation, average value and variance of stress of the structure are calculated. Using this formulation, the probability of the structure's every unit yield and reliability of the structure can be calculated finally.