Statistical assessment of stress redistribution in loaded polycrystals

0566652 - FZÚ 2023 RIV SI eng J - Journal Article
Karafiátová, I. - Pawlas, Z. - Heller, Luděk
Statistical assessment of stress redistribution in loaded polycrystals.
Image Analysis and Stereology. Roč. 41, č. 1 (2022), s. 25-39. ISSN 1580-3139
R&D Projects: GA ČR(CZ) GA20-14114S; GA MŠMT(CZ) EF16_019/0000760
Grant - others:OP VVV - SOLID21(XE) CZ.02.1.01/0.0/0.0/16_019/0000760
Institutional support: RVO:68378271
Keywords : distance correlation * elastic anisotropy * generalised semivariogram * heteroscedasticity * lattice disorientation * test of independence
OECD category: Statistics and probability
Impact factor: 0.9, year: 2022
Method of publishing: Open access

This work deals with the analysis of stress redistribution in a polycrystal due to external loading, anisotropy of elastic properties, and microstructure characteristics. A statistical method that enables assessing relationships between stress fields and microstructure features of interest is suggested. The notion of generalised semivariogram is introduced and used to determine the extent of spatial dependence in multivariate random fields. Afterwards, it is allowed to perform the tests of independence based on the distance correlation coefficient. The detected non-spatial dependencies are further examined, focusing on the identification of the actual type of heteroscedasticity. The method is aimed at analysing large computational datasets resulting from numerical simulations of stress redistribution in polycrystals under external loads.
Permanent Link: https://hdl.handle.net/11104/0337967