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Uncertainty assessment in hydro-mechanical-coupled analysis of saturated porous medium applying fuzzy finite element method
Frontiers of Structural and Civil Engineering ( IF 3 ) Pub Date : 2020-04-22 , DOI: 10.1007/s11709-019-0601-z
Farhoud Kalateh , Farideh Hosseinejad

The purpose of the present study was to develop a fuzzy finite element method, for uncertainty quantification of saturated soil properties on dynamic response of porous media, and also to discrete the coupled dynamic equations known as u-p hydro-mechanical equations. Input parameters included fuzzy numbers of Poisson’s ratio, Young’s modulus, and permeability coefficient as uncertain material of soil properties. Triangular membership functions were applied to obtain the intervals of input parameters in five membership grades, followed up by a minute examination of the effects of input parameters uncertainty on dynamic behavior of porous media. Calculations were for the optimized combinations of upper and lower bounds of input parameters to reveal soil response including displacement and pore water pressure via fuzzy numbers. Fuzzy analysis procedure was verified, and several numerical examples were analyzed by the developed method, including a dynamic analysis of elastic soil column and elastic foundation under ramp loading. Results indicated that the range of calculated displacements and pore pressure were dependent upon the number of fuzzy parameters and uncertainty of parameters within equations. Moreover, it was revealed that for the input variations looser sands were more sensitive than dense ones.

中文翻译:

模糊有限元法在饱和多孔介质水力耦合分析中的不确定度评估

本研究的目的是开发一种模糊有限元方法,用于对多孔介质动力响应上的饱和土特性进行不确定性量化,以及离散耦合动力学方程,即up。流体力学方程。输入参数包括泊松比的模糊数,杨氏模量和作为土壤特性不确定材料的渗透系数。应用三角隶属度函数获得五个隶属度等级的输入参数的间隔,然后仔细检查输入参数不确定性对多孔介质动力学行为的影响。计算是为了优化输入参数上下限的组合,以通过模糊数揭示包括位移和孔隙水压力在内的土壤响应。验证了模糊分析程序,并通过所开发的方法对几个数值实例进行了分析,包括在斜坡荷载下弹性土柱和弹性地基的动力分析。结果表明,计算的位移和孔隙压力的范围取决于方程中模糊参数的数量和参数的不确定性。此外,据揭示,对于输入变化,松散的沙子比密集的沙子更敏感。
更新日期:2020-04-22
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