Characterization of random stress fields obtained from polycrystalline aggregate calculations using multi-scale stochastic finite elements
Applications
2015-01-19 v1
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.
Cite
@article{arxiv.1501.03956,
title = {Characterization of random stress fields obtained from polycrystalline aggregate calculations using multi-scale stochastic finite elements},
author = {Bruno Sudret and Hung Xuan Dang and Marc Berveiller and Asmahana Zeghadi and Thierry Yalamas},
journal= {arXiv preprint arXiv:1501.03956},
year = {2015}
}