Article Application of extreme value statistics to internal pore distribution in ceramics and prediction of size dependency of strength scatter

Chihiro Ito ; Taiyo Maeda ; Ryunosuke Higashi ; Toshio Osada SAMURAI ORCID (National Institute for Materials ScienceROR) ; Takuma Kohata (National Institute for Materials Science) ; Shingo Ozaki

Collection

Citation
Chihiro Ito, Taiyo Maeda, Ryunosuke Higashi, Toshio Osada, Takuma Kohata, Shingo Ozaki. Application of extreme value statistics to internal pore distribution in ceramics and prediction of size dependency of strength scatter. Journal of the European Ceramic Society. 2023, 44 (5), 3381-3392. https://doi.org/10.1016/j.jeurceramsoc.2023.12.021

Description:

(abstract)

To implement ceramics into high reliability components, it is necessary to understand the strength scatter, which is caused by stochastic distribution of defects in ceramics. In this study, we proposed a numerical simulation method to predict the strength scatter of ceramics, including size-dependency, by combining internal microstructural data observed using X-ray computed tomography (X-Ray CT) and scanning electron microscopy (SEM) with a fracture mechanics model. In particular, the Generalized Pareto (GP) model, a type of extreme value statistics, was applied to the treatment of three-dimensional distribution of size of pores, which might be origin of fracture. We then predict the bending strength of four kinds of bending test with different effective volumes and conmapred with exprimental results. In addition, the predictive performance for the lower limit of fracture strength was also discussed. Meanwhile, the method was also applied to specimen models with different discretization sizes to verify the advantage of GP model. The results demonstrate the effectiveness of the proposed method for ‘specimen size dependence of bending strength’ and ‘specimen discretization size independence’.

Rights:

Keyword: Strength analysis, defects, extreme value statistics, Weibull distribution, size dependency

Date published: 2023-12-10

Publisher: Elsevier BV

Journal:

  • Journal of the European Ceramic Society (ISSN: 09552219) vol. 44 issue. 5 p. 3381-3392

Funding:

  • New Energy and Industrial Technology Development Organization

Manuscript type: Author's version (Accepted manuscript)

MDR DOI: https://doi.org/10.48505/nims.5207

First published URL: https://doi.org/10.1016/j.jeurceramsoc.2023.12.021

Related item:

Other identifier(s):

Contact agent:

Updated at: 2025-12-10 08:30:46 +0900

Published on MDR: 2025-12-10 08:23:53 +0900

Filename Size
Filename Size-dependency_Ito_et_al_R1_unmarked.docx
application/vnd.openxmlformats-officedocument.wordprocessingml.document
Size 383 KB Detail
Filename Figures_JECESOC-D-23-02070_R1.pptx (Thumbnail)
application/vnd.openxmlformats-officedocument.presentationml.presentation
Size 8.3 MB Detail