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

2015年第9卷第2期

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《结构与土木工程前沿（英文）》 >> 2015年第9卷第2期 doi: 10.1007/s11709-015-0290-1

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

1. Risk, Safety and Uncertainty Quantification, ETH Zurich, Stefano-Franscini-Platz 5, Zurich CH-8093, Switzerland.2. Phimeca Engineering S.A., Centre d’affaires du Zénith, 34 rue de Sarliève, Cournon F-63800, France.3. EDF R&D, Dept. of Materials and Mechanics of Components, Site des Renardières, Moret-sur-Loing Cedex 77250, France

发布日期： 2015-06-30

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摘要

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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polycrystalline aggregates ; crystal plasticity ; random fields ; spatial variability ; correlation structure