渗流—应力耦合随机性分析方法与应用

STOCHASTIC ANALYSIS OF THE COUPLED PROCESS OF SEEPAGE FIELD AND STRESS FIELD

基于摄动随机有限元法计算参数随机性对渗流-应力耦合问题的影响,以渗透系数和弹性模量为基本随机量,推导了渗流-应力耦合摄动随机有限元迭代格式,在此基础上对现有计算渗流场和应力场的单场随机计算程序进行改造.使用改造程序对某大坝渗流-应力耦合问题进行分析,并与商用软件计算结果进行对比.结果表明,两种方法计算结果基本一致,揭示了工程实际中的流固耦合规律,改造的程序还可以输出商用软件未涉及的随机特征.

Based on the influence of the stochastic nature of the parameter in the perturbation stochastic FEM(finite element method) on the coupled process of the seepage field and the stress field, finite element iterative formulas are derived, where the permeability coefficient and the elasticity modulus are set as the basic stochastic quantities, and accordingly, the stochastic calculating programs used for calculating the seepage field and the stress field separately are re-formulated. By utilizing the improved programs, the H--M problem of a dam is calculated, and the results are compared with those calculated by COMSOL Multiphysics. It is shown that these two methods are consistent, which indicates that for fluid-solid coupling problems in engineering practice,the stochastic characteristics can be obtained by the program, which is not available in the commercial software.