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

Sudret, Bruno ; Dang, Hung ; Berveiller, Marc ; Zeghadi, Asmahana ; Yalamas, Thierry

In: Frontiers of Structural and Civil Engineering, 2015, vol. 9, no. 2, p. 121-140

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    Titre
    • Characterization of random stress fields obtained from polycrystalline aggregate calculations using multi-scale stochastic finite elements
    Auteur
    • Sudret, Bruno. Risk, Safety and Uncertainty Quantification, ETH Zurich, Stefano-Franscini-Platz 5, CH-8093, Zurich, Switzerland
    • Dang, Hung. Phimeca Engineering S.A., Centre d'affaires du Zénith, 34 rue de Sarliève, F-63800, Cournon, France
    • Berveiller, Marc. EDF R&D, Dept. of Materials and Mechanics of Components, Site des Renardières, 77250, Moret-sur-Loing Cedex, France
    • Zeghadi, Asmahana. EDF R&D, Dept. of Materials and Mechanics of Components, Site des Renardières, 77250, Moret-sur-Loing Cedex, France
    • Yalamas, Thierry. Phimeca Engineering S.A., Centre d'affaires du Zénith, 34 rue de Sarliève, F-63800, Cournon, France
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Frontiers of Structural and Civil Engineering, 2015, vol. 9, no. 2, p. 121-140. Higher Education Press
    Autre version électronique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:331900
    Summary
    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.