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基于连续介质损伤力学框架,通过损伤张量和有效应力来描述节理岩体的力学性能,自主研发了基于损伤力学模型的有限元程序(CD-FEM),用于节理岩体等效力学性能研究。同时,采用Karhunen-Loeve(K-L)展开来分解随机输入场,用混沌多项式来表示随机输出场,采用概率配点法生成配点,再由连续损伤有限元分析系统CD-FEM求解确定性方程组,最终得到输出域的统计数据,从而提出了一种将随机分析与基于连续损伤力学模型的数值分析方法解耦进行节理岩体不确定性力学行为分析的方法。利用该方法,对一典型节理岩体在加载条件下的力学行为进行不确定性分析,并与蒙特卡罗方法进行对比,结果表明,所提方法的计算量大大减少,极大地提高了节理岩体力学性能不确定性分析的效率,可应用于对节理岩体在不同载荷条件下的不确定性进行分析。
Based on the continuum damage mechanics framework, the mechanical properties of jointed rock mass are described by damage tensor and effective stress. The finite element program (CD-FEM) based on damage mechanics model is developed independently to study the equivalent mechanical properties of jointed rock mass . At the same time, Karhunen-Loeve (KL) expansion is used to decompose stochastic input fields, and chaotic polynomials are used to represent stochastic output fields. Probability collocation method is used to generate collocated points. Then deterministic equations are solved by continuous damage finite element analysis system CD-FEM. The statistical data of the output field is obtained, and a method of decoupling the stochastic analysis from the numerical analysis method based on the continuous damage mechanics model is proposed to analyze the mechanical behavior of the jointed rock mass under uncertainty. By using this method, the uncertainty of mechanical behavior of a typical jointed rock mass under loading condition is analyzed and compared with that of Monte Carlo method. The results show that the computational cost of the proposed method is greatly reduced and the joint rock mass is greatly increased The efficiency of the uncertainty analysis of the mechanical properties can be applied to the analysis of the uncertainties of jointed rock mass under different loading conditions.