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

Abstract : The spatial variability of stress fields resulting from polycrystalline aggregate calculations involving random grain geometry and crystal orientations is investigated. A periodogram-based method is proposed to identify the properties of homogeneous Gaussian random fields (power spectral density and related covariance structure). Based on a set of finite element polycrystalline aggregate calculations the properties of the maximal principal stress field are identified. Two cases are considered, using either a fixed or random grain geometry. The stability of the method w.r.t the number of samples and the load level (up to 3.5 % macroscopic deformation) is investigated.
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Frontiers of Structural and Civil Engineering, Springer, 2015, 9, pp.121 - 140. 〈10.1007/s11709-015-0290-1〉
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B Sudret, H Dang, M Berveiller, A Zeghadi, T Yalamas. Characterization of random stress fields obtained from polycrystalline aggregate calculations using multi-scale stochastic finite elements. Frontiers of Structural and Civil Engineering, Springer, 2015, 9, pp.121 - 140. 〈10.1007/s11709-015-0290-1〉. 〈hal-01432182〉

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