拱坝非线性开裂过程的随机分析

Probability analysis of nonlinear cracking process of arch dam

本文以拱坝及其周围为岩石基础研究对象 ,本构模型为非线性弹性 ,应力分析按形变理论 ,对破坏过程中的不同应力状态应用不同的强度准则和不同的功能函数 .破坏过程的分析按三维随机有限元法分析对象的可靠指标场 ,从可靠指标场中寻找并联系统中最易出现的破坏轨迹 .破坏轨迹的条件概率的集合即为拱坝破坏轨迹的概率向量 .

The stress analysis on arch dam and its rock foundation is carried out according to the deformation theory. The nonlinear elasticity constitutive model is adopted. Several failure criterions and different performance functions of concrete and rock are used according to corresponding stress state. The analysis of cracking process is based on the analysis on the reliability index field according to the 3\|D stochastic finite element method. The cracking trajectory can be found out from reliability index field. The assembly of the conditional probability of the cracking trajectory is the probability vector of the cracking trajectory. An example is given to demonstrate the analysis method.