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Coupling of Random Field Theory and the Discrete Element Method in the Reliability Analysis of Geotechnical Problems

机译:岩土工程可靠性分析中的随机场理论与离散元法耦合

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An efficient algorithm to create discrete element samples with predefined properties incorporating the random field theory is introduced in this paper. The algorithm considerably reduces the time needed to generate a large scale domain as only a small initial sample with dynamic packing is used. Three-dimensional anisotropic random fields are generated using the Local Average Subdivision (LAS) method accounting for the spatial variability. The random fields are then mapped on the discrete element domain and uncertain parameters of each particle are obtained from the corresponding random field cell. Triaxial tests are conducted on large soil samples with the dimensions of 1.5m × 3.0m × 1.5m comprising over 150,000 spherical particles. The normal and tangential stiffnesses of the particles are selected as random variables since they have a significant effect on the soil behavior under triaxial testing conditions. Monte Carlo simulation is implemented to analyze the probabilistic features of the output values. The results of parametric studies are also presented.
机译:本文介绍了一种有效的算法,该算法结合随机场理论创建具有预定义属性的离散元素样本。该算法大大减少了生成大规模域所需的时间,因为仅使用了带有动态打包的少量初始样本。使用局部平均细分(LAS)方法生成三维各向异性随机场,说明了空间变异性。然后将随机场映射到离散元素域上,并从相应的随机场单元中获得每个粒子的不确定参数。在尺寸为1.5m×3.0m×1.5m的大型土壤样品上进行了三轴测试,其中包含150,000多个球形颗粒。选择颗粒的法向刚度和切向刚度作为随机变量,因为它们在三轴测试条件下对土壤行为具有重大影响。实施蒙特卡洛模拟来分析输出值的概率特征。还介绍了参数研究的结果。

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