Characterization of random stress fields obtained from polycrystalline\n aggregate calculations using multi-scale stochastic finite elements

2015/01/16 by Bruno Sudret, Sudret, Bruno, Hung Xuan Dang +7
Computer Science · Decision Sciences · Environmental Science · #Advanced Multi-Objective Optimization Algorithms #Applications (stat.AP) #FOS: Computer and information sciences #Probabilistic and Robust Engineering Design #Soil Geostatistics and Mapping

paper · pdf · doi:10.48550/arxiv.1501.03956

openalex publication_date 2015/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The spatial variability of stress fields resulting from polycrystalline\naggregate calculations involving random grain geometry and crystal orientations\nis investigated. A periodogram-based method is proposed to identify the\nproperties of homogeneous Gaussian random fields (power spectral density and\nrelated covariance structure). Based on a set of finite element polycrystalline\naggregate calculations the properties of the maximal principal stress field are\nidentified. Two cases are considered, using either a fixed or random grain\ngeometry. The stability of the method w.r.t the number of samples and the load\nlevel (up to 3.5 % macroscopic deformation) is investigated.\n

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