The effect of model dimensionality on compression strength of fiber reinforced composites

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Original languageEnglish
Pages (from-to)4645-4662
Number of pages18
JournalJournal of composite materials
Volume56
Issue number30
Early online date31 Oct 2022
Publication statusPublished - Dec 2022

Abstract

Strength of fiber reinforced polymers (FRPs) under compression loads is typically limited by a shear localization failure mode called microbuckling which is highly sensitive to fiber misalignment. In addition to the magnitude of fiber misalignment, the dimensionality of fiber misalignment also plays a prominent role in the prediction of compression strength. Therefore, a comparison between 1D, 2D, and 3D fiber misalignment is carried out in a finite element setting with a homogenized representation of fiber and matrix materials. In real FRP structures, fiber misalignment is spread in a correlated random manner throughout the material volume resulting in a distribution of compression strength. Spectral representation method is used for developing the volumetric representation of fiber misalignment in numerical models, thus preserving the spatial correlations of fiber misalignment. As an input to the spectral representation method, two different functional forms of spectral density of the fiber misalignment are considered. The results of model series based on functional forms of spectral density are also compared against a reference model series based on experimental measurements of the fiber misalignment. Finally, a simple relation is proposed for prediction of compression strength at different percentiles of distribution of failure strengths with regard to scaling of mean square spectral density.

Keywords

    fiber misalignment, Fiber reinforced polymers, microbuckling, probabilistic methods, strength

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The effect of model dimensionality on compression strength of fiber reinforced composites. / Safdar, Nabeel; Daum, Benedikt; Rolfes, Raimund.
In: Journal of composite materials, Vol. 56, No. 30, 12.2022, p. 4645-4662.

Research output: Contribution to journalArticleResearchpeer review

Safdar N, Daum B, Rolfes R. The effect of model dimensionality on compression strength of fiber reinforced composites. Journal of composite materials. 2022 Dec;56(30):4645-4662. Epub 2022 Oct 31. doi: 10.1177/00219983221136272
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title = "The effect of model dimensionality on compression strength of fiber reinforced composites",
abstract = "Strength of fiber reinforced polymers (FRPs) under compression loads is typically limited by a shear localization failure mode called microbuckling which is highly sensitive to fiber misalignment. In addition to the magnitude of fiber misalignment, the dimensionality of fiber misalignment also plays a prominent role in the prediction of compression strength. Therefore, a comparison between 1D, 2D, and 3D fiber misalignment is carried out in a finite element setting with a homogenized representation of fiber and matrix materials. In real FRP structures, fiber misalignment is spread in a correlated random manner throughout the material volume resulting in a distribution of compression strength. Spectral representation method is used for developing the volumetric representation of fiber misalignment in numerical models, thus preserving the spatial correlations of fiber misalignment. As an input to the spectral representation method, two different functional forms of spectral density of the fiber misalignment are considered. The results of model series based on functional forms of spectral density are also compared against a reference model series based on experimental measurements of the fiber misalignment. Finally, a simple relation is proposed for prediction of compression strength at different percentiles of distribution of failure strengths with regard to scaling of mean square spectral density.",
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author = "Nabeel Safdar and Benedikt Daum and Raimund Rolfes",
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AU - Safdar, Nabeel

AU - Daum, Benedikt

AU - Rolfes, Raimund

N1 - Funding Information: Funding by the Deutsche Forschungsgemeinschaft (DFG - German Research Foundation) under the project International Research and Training Group (IRTG1627) is gratefully acknowledged.

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N2 - Strength of fiber reinforced polymers (FRPs) under compression loads is typically limited by a shear localization failure mode called microbuckling which is highly sensitive to fiber misalignment. In addition to the magnitude of fiber misalignment, the dimensionality of fiber misalignment also plays a prominent role in the prediction of compression strength. Therefore, a comparison between 1D, 2D, and 3D fiber misalignment is carried out in a finite element setting with a homogenized representation of fiber and matrix materials. In real FRP structures, fiber misalignment is spread in a correlated random manner throughout the material volume resulting in a distribution of compression strength. Spectral representation method is used for developing the volumetric representation of fiber misalignment in numerical models, thus preserving the spatial correlations of fiber misalignment. As an input to the spectral representation method, two different functional forms of spectral density of the fiber misalignment are considered. The results of model series based on functional forms of spectral density are also compared against a reference model series based on experimental measurements of the fiber misalignment. Finally, a simple relation is proposed for prediction of compression strength at different percentiles of distribution of failure strengths with regard to scaling of mean square spectral density.

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