Fat-tailed failure strength distributions and manufacturing defects in advanced composites

Abstract This study investigates how manufacturing defects transform the statistical distribution of failure in carbon fiber-reinforced polymer composites under tension and compression loading. The analysis of tension and compression specimens reveals that defect-free composites exhibit relatively n...

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Main Author: Rani Elhajjar
Format: Article
Language:English
Published: Nature Portfolio 2025-07-01
Series:Scientific Reports
Subjects:
Online Access:https://doi.org/10.1038/s41598-025-06693-4
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author Rani Elhajjar
author_facet Rani Elhajjar
author_sort Rani Elhajjar
collection DOAJ
description Abstract This study investigates how manufacturing defects transform the statistical distribution of failure in carbon fiber-reinforced polymer composites under tension and compression loading. The analysis of tension and compression specimens reveals that defect-free composites exhibit relatively narrow, unimodal strength distributions. In contrast, specimens with porosity or fiber waviness develop more complex multimodal probability densities with fat-tailed distributions and substantially higher variability. Applying Jensen’s inequality demonstrates that this increased variability can be assessed to identify higher risk profiles. These findings indicate that defects in composites don’t simply reduce mean strength values but alter the statistical nature of composite failure, transforming thin-tailed, unimodal, well-behaved distributions into multimodal, fat-tailed ones. Such transformation necessitates more sophisticated probabilistic approaches for reliable design and strength prediction in safety-critical applications where understanding tail risk becomes crucial to proper risk management.
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spelling doaj-art-b518dd2ec3f04a8b84c035abdd0fe0b22025-08-20T03:45:56ZengNature PortfolioScientific Reports2045-23222025-07-0115111010.1038/s41598-025-06693-4Fat-tailed failure strength distributions and manufacturing defects in advanced compositesRani Elhajjar0College of Engineering and Applied Science, University of Wisconsin-MilwaukeeAbstract This study investigates how manufacturing defects transform the statistical distribution of failure in carbon fiber-reinforced polymer composites under tension and compression loading. The analysis of tension and compression specimens reveals that defect-free composites exhibit relatively narrow, unimodal strength distributions. In contrast, specimens with porosity or fiber waviness develop more complex multimodal probability densities with fat-tailed distributions and substantially higher variability. Applying Jensen’s inequality demonstrates that this increased variability can be assessed to identify higher risk profiles. These findings indicate that defects in composites don’t simply reduce mean strength values but alter the statistical nature of composite failure, transforming thin-tailed, unimodal, well-behaved distributions into multimodal, fat-tailed ones. Such transformation necessitates more sophisticated probabilistic approaches for reliable design and strength prediction in safety-critical applications where understanding tail risk becomes crucial to proper risk management.https://doi.org/10.1038/s41598-025-06693-4Fiber wavinessPorosityDefectsMultimodal distributionsFat-tailed risk
spellingShingle Rani Elhajjar
Fat-tailed failure strength distributions and manufacturing defects in advanced composites
Scientific Reports
Fiber waviness
Porosity
Defects
Multimodal distributions
Fat-tailed risk
title Fat-tailed failure strength distributions and manufacturing defects in advanced composites
title_full Fat-tailed failure strength distributions and manufacturing defects in advanced composites
title_fullStr Fat-tailed failure strength distributions and manufacturing defects in advanced composites
title_full_unstemmed Fat-tailed failure strength distributions and manufacturing defects in advanced composites
title_short Fat-tailed failure strength distributions and manufacturing defects in advanced composites
title_sort fat tailed failure strength distributions and manufacturing defects in advanced composites
topic Fiber waviness
Porosity
Defects
Multimodal distributions
Fat-tailed risk
url https://doi.org/10.1038/s41598-025-06693-4
work_keys_str_mv AT ranielhajjar fattailedfailurestrengthdistributionsandmanufacturingdefectsinadvancedcomposites