Statistical assessment of stress redistribution in loaded polycrystals

0566652 - FZÚ 2023 RIV SI eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA20-14114S; GA MŠMT(CZ) EF16_019/0000760
Grant ostatní: OP VVV - SOLID21(XE) CZ.02.1.01/0.0/0.0/16_019/0000760
Institucionální podpora: RVO:68378271
Klíčová slova: distance correlation * elastic anisotropy * generalised semivariogram * heteroscedasticity * lattice disorientation * test of independence
Obor OECD: Statistics and probability
Impakt faktor: 0.9, rok: 2022
Způsob publikování: 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.
Trvalý link: https://hdl.handle.net/11104/0337967