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Spatial autocorrelation of fiber fracture in ceramic composites: Theory and simulations.

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Title: Spatial autocorrelation of fiber fracture in ceramic composites: Theory and simulations.
Authors: Han, Nicholas1 (AUTHOR), Zok, Frank W.1 (AUTHOR) zok@ucsb.edu
Source: Journal of the American Ceramic Society. Jan2026, Vol. 109 Issue 1, p1-17. 17p.
Subjects: Fiber-reinforced ceramics, Variograms, Fracture toughness, Spatial analysis (Statistics), Fracture mechanics, Geographic spatial analysis
Abstract: This study investigates spatial autocorrelation of fiber fracture in ceramic matrix composites, with a focus on statistical characterization of fracture surfaces. While conventional micromechanical models assume global load sharing, experimental evidence increasingly supports the presence of local load sharing (LLS), leading to clustering of fiber breaks. To better understand spatial autocorrelation under LLS conditions, this work applies three geostatistical techniques: Global Geary's C statistic, semivariograms, and Local Geary's C statistic. Simulated fracture surfaces with prescribed levels of spatial autocorrelation are used to evaluate the effectiveness and limitations of each method. Results show that Global Geary's C effectively detects autocorrelation across a range of fiber counts and autocorrelation lengths, even in only partially correlated surfaces. Semivariograms provide insight into the range and strength of correlation but are sensitive to composite size and sample variability. Local Geary's C enables identification of spatially localized clusters of autocorrelated breaks, although interpretation requires careful thresholding. The study establishes guidelines for applying these techniques and demonstrates their utility in diagnosing spatial fracture patterns. The resulting tools pave the way for more detailed analysis of real fracture surfaces, with implications for understanding failure mechanisms and guiding micromechanical modeling. [ABSTRACT FROM AUTHOR]
Copyright of Journal of the American Ceramic Society is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 191210730
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PubType: Academic Journal
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  Data: Spatial autocorrelation of fiber fracture in ceramic composites: Theory and simulations.
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  Data: <searchLink fieldCode="AR" term="%22Han%2C+Nicholas%22">Han, Nicholas</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zok%2C+Frank+W%2E%22">Zok, Frank W.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> zok@ucsb.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+the+American+Ceramic+Society%22">Journal of the American Ceramic Society</searchLink>. Jan2026, Vol. 109 Issue 1, p1-17. 17p.
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  Data: <searchLink fieldCode="DE" term="%22Fiber-reinforced+ceramics%22">Fiber-reinforced ceramics</searchLink><br /><searchLink fieldCode="DE" term="%22Variograms%22">Variograms</searchLink><br /><searchLink fieldCode="DE" term="%22Fracture+toughness%22">Fracture toughness</searchLink><br /><searchLink fieldCode="DE" term="%22Spatial+analysis+%28Statistics%29%22">Spatial analysis (Statistics)</searchLink><br /><searchLink fieldCode="DE" term="%22Fracture+mechanics%22">Fracture mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Geographic+spatial+analysis%22">Geographic spatial analysis</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This study investigates spatial autocorrelation of fiber fracture in ceramic matrix composites, with a focus on statistical characterization of fracture surfaces. While conventional micromechanical models assume global load sharing, experimental evidence increasingly supports the presence of local load sharing (LLS), leading to clustering of fiber breaks. To better understand spatial autocorrelation under LLS conditions, this work applies three geostatistical techniques: Global Geary's C statistic, semivariograms, and Local Geary's C statistic. Simulated fracture surfaces with prescribed levels of spatial autocorrelation are used to evaluate the effectiveness and limitations of each method. Results show that Global Geary's C effectively detects autocorrelation across a range of fiber counts and autocorrelation lengths, even in only partially correlated surfaces. Semivariograms provide insight into the range and strength of correlation but are sensitive to composite size and sample variability. Local Geary's C enables identification of spatially localized clusters of autocorrelated breaks, although interpretation requires careful thresholding. The study establishes guidelines for applying these techniques and demonstrates their utility in diagnosing spatial fracture patterns. The resulting tools pave the way for more detailed analysis of real fracture surfaces, with implications for understanding failure mechanisms and guiding micromechanical modeling. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of the American Ceramic Society is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1111/jace.70403
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      – Code: eng
        Text: English
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        PageCount: 17
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      – SubjectFull: Fiber-reinforced ceramics
        Type: general
      – SubjectFull: Variograms
        Type: general
      – SubjectFull: Fracture toughness
        Type: general
      – SubjectFull: Spatial analysis (Statistics)
        Type: general
      – SubjectFull: Fracture mechanics
        Type: general
      – SubjectFull: Geographic spatial analysis
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      – TitleFull: Spatial autocorrelation of fiber fracture in ceramic composites: Theory and simulations.
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            NameFull: Zok, Frank W.
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            – D: 01
              M: 01
              Text: Jan2026
              Type: published
              Y: 2026
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