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

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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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Author information

Authors and Affiliations

  1. Risk, Safety and Uncertainty Quantification, ETH Zurich, Stefano-Franscini-Platz 5, Zurich, CH-8093, Switzerland

    Bruno Sudret

  2. Phimeca Engineering S.A., Centre d’affaires du Zénith, 34 rue de Sarliève, Cournon, F-63800, France

    Hung Xuan Dang & Thierry Yalamas

  3. EDF R&D, Dept. of Materials and Mechanics of Components, Site des Renardières, Moret-sur-Loing Cedex, 77250, France

    Marc Berveiller & Asmahana Zeghadi

Authors
  1. Bruno Sudret
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  2. Hung Xuan Dang
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  3. Marc Berveiller
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  4. Asmahana Zeghadi
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  5. Thierry Yalamas
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Correspondence to Bruno Sudret.

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Sudret, B., Dang, H.X., Berveiller, M. et al. Characterization of random stress fields obtained from polycrystalline aggregate calculations using multi-scale stochastic finite elements. Front. Struct. Civ. Eng. 9, 121–140 (2015). https://doi.org/10.1007/s11709-015-0290-1

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  • DOI: https://doi.org/10.1007/s11709-015-0290-1

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