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

  • Bruno Sudret
  • Hung Xuan Dang
  • Marc Berveiller
  • Asmahana Zeghadi
  • Thierry Yalamas
Research Article


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.


polycrystalline aggregates crystal plasticity random fields spatial variability correlation structure 


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Copyright information

© Higher Education Press and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Bruno Sudret
    • 1
  • Hung Xuan Dang
    • 2
  • Marc Berveiller
    • 3
  • Asmahana Zeghadi
    • 3
  • Thierry Yalamas
    • 2
  1. 1.Risk, Safety and Uncertainty QuantificationETH ZurichZurichSwitzerland
  2. 2.Phimeca Engineering S.A.Centre d’affaires du ZénithCournonFrance
  3. 3.EDF R&D, Dept. of Materials and Mechanics of ComponentsSite des RenardièresMoret-sur-Loing CedexFrance

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