Improved accuracy of the laser diffraction technique for diameter measurement of small fibres

Li, Chi-Tang; Tietz, James V.

doi:10.1007/bf01129926

Cited by 32 publications

(7 citation statements)

References 2 publications

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“…54,55 Fiber diameter can be measured using optical microscopy or laser diffraction. 56 The properties of some commercial carbon fi bers are listed in Table II. As expected, carbonfi ber properties are related to the fi ber microstructure and morphology.…”

Section: Propertiesmentioning

confidence: 99%

The processing, properties, and structure of carbon fibers

Minus

Kumar

2005

JOM

347

193

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Section: Propertiesmentioning

confidence: 99%

The processing, properties, and structure of carbon fibers

Minus

Kumar

2005

JOM

347

193

View full text Add to dashboard Cite

“…10 μm) ceramic fibers is measurement of the cross‐sectional area of each tested fiber. With the recommended resolution in diameter measurement being 1% of the fiber diameter (ASTM C1557), measurements are usually made by laser diffraction or by scanning electron microscopy (SEM): both laborious and time‐consuming techniques. The measurements are further complicated by the common experience that strong fibers shatter upon failure and thus identification of their principal fracture location is a difficult task (even if all fragments are recovered).…”

Section: Introductionmentioning

confidence: 99%

Accurate determination of fiber strength distributions

Callaway

Zok

2016

J Am Ceram Soc

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Tensile strengths of small‐diameter ceramic fibers are commonly obtained from measured fracture loads on individual fibers and the average cross‐sectional area of the entire fiber population. The goal of the present article is to provide a critical assessment of the consequences of using the average fiber area in the inferred strength distribution. The issues are addressed through established theorems in convolution and uncertainty propagation as well as Monte Carlo simulations. Systematic errors introduced by using the average area are well‐represented by simple analytical formulae. The formulae are couched in terms of the coefficient of variation in fiber area and the dispersion in fiber strengths, characterized by the Weibull modulus. In turn, the formulae are used to determine the true values of Weibull modulus and reference strength from their nominal values. Random uncertainties associated with a finite number of tests decay slowly with number, in accordance with an inverse root scaling. When systematic errors are conflated with random uncertainties, accurate determination of the true Weibull modulus becomes increasingly challenging, even for seemingly large numbers of strength measurements. The results are used to assess the fidelity of previously‐reported experimental results based on nominal strength data.

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“…The diameter of all carbon fiber samples was measured via a laser diffraction technique [24][25][26].…”

Section: Single Filament Tensile Measurementsmentioning

confidence: 99%

Structure-property model for polyethylene-derived carbon fiber

Behr

Landes

Barton

et al. 2016

Carbon

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This paper presents a structure-property model for carbon fiber derived from a polyethylene (PE) precursor that relates tensile modulus to the elastic properties and angular distribution of constituent graphitic layers, as measured using wide-angle x-ray diffraction of individual carbon fiber filaments. The observed relationship and interpretation of data using a uniform-stress model has revealed fundamental differences in the nature of the microstructure present in carbon fiber produced from polyethylene compared to carbon fiber produced from polyacrylonitrile (PAN) or pitch precursors. Specifically, it was found that the shear modulus, indicative of the shear between adjacent graphitic layers of the carbonized fiber is lower for polyethylene-derived carbon fiber than for PAN-or pitch-derived carbon fiber, suggesting that the covalent CC sp 3 crosslink density connecting adjacent graphitic layers in PE-derived carbon fiber is reduced. This structure that is less crosslinked is anticipated to be easier to orient during carbonization and high-temperature graphitization processes, yielding a highly oriented structure necessary for high tensile modulus.

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Improved accuracy of the laser diffraction technique for diameter measurement of small fibres

Cited by 32 publications

References 2 publications

The processing, properties, and structure of carbon fibers

The processing, properties, and structure of carbon fibers

Accurate determination of fiber strength distributions

Structure-property model for polyethylene-derived carbon fiber

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