非线性随机有限元法及其在可靠度分析中的应用

Nonlinear Stochastic FEM and its Application for Reliability Analysis

本文以非线性有限元理论和可靠度理论为基础，以二维弹塑性问题为对象，提出了非线性随机有限元的基本思路，并推导了材料非线性问题的基本公式，编制了非线性随机有限元程序。该程序既考虑材料的非线性又考虑参数的随机性，可用于一般弹塑性平面问题的可靠度分析。作为计算实例，研究了重力坝坝基在考虑非线性特性和随机特性情况下的破坏过程和可靠性指标。

Based on the theory of nonlinear FEM and theory of reliability, the nonlinear stochastic FEM isdeveloped, and the formulas are presented in the paper. Furthemore a program is developed for reliability analysis ofnonlinear structures. As an example, the reliability analysis of gravity dam is discussed with consideration of bothnonlinearity in material and randomness in parameters.