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首页> 外文期刊>Computers and Geotechnics >The simulation and discretisation of random fields for probabilistic finite element analysis of soils using meshes of arbitrary triangular elements
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The simulation and discretisation of random fields for probabilistic finite element analysis of soils using meshes of arbitrary triangular elements

机译：利用任意三角形单元网格对土壤概率有限元进行随机场的模拟和离散化

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摘要

This paper presents a new methodology to discretise random fields for reliability assessment by the Random Finite Element Method. The methodology maps a random field to an arbitrary triangular finite element mesh by local averaging. Derivations for the variance reduction and covariance between local averages of triangular areas using numeric integration are presented. The new methodology is compared against a published reliability assessment of a drained slope. The results matched expectations that not accounting for spatial variability will, in the case analysed, significantly underestimate reliability. A method to generate random fields using a form of Cholesky decomposition appropriate even for singular covariance matrices is presented and analysed. Finally, the derivations for the discretisation of random fields onto triangular meshes are presented for three dimensional tetrahedral elements. (C) 2015 Elsevier Ltd. All rights reserved.
机译：本文提出了一种通过随机有限元方法离散化随机字段进行可靠性评估的新方法。该方法通过局部平均将随机场映射到任意三角形有限元网格。提出了使用数值积分的三角区域局部平均值之间的方差减少和协方差的推导。将新方法与已发布的排水坡的可靠性评估进行了比较。结果与预期相符，在分析的情况下，不考虑空间变异性将大大低估可靠性。提出并分析了一种使用甚至适合于奇异协方差矩阵的Cholesky分解形式生成随机场的方法。最后，针对三维四面体单元，介绍了将随机场离散到三角形网格上的推导。 （C）2015 Elsevier Ltd.保留所有权利。

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