Critical Velocity of High-Performance Yarn Transversely Impacted by Razor Blade
A ballistic parameter that influences the ballistic performances of a high-performance yarn is the critical velocity. The critical velocity is defined as the projectile striking velocity that causes instantaneous rupture of the yarn upon impact. In this study, we performed ballistic experiments to d...
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2018-12-01
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doaj-cd73d152f0e84617a0520025074577022020-11-24T22:10:44ZengMDPI AGFibers2079-64392018-12-01649510.3390/fib6040095fib6040095Critical Velocity of High-Performance Yarn Transversely Impacted by Razor BladeBoon Him Lim0Jou-Mei Chu1Benjamin Claus2Yizhou Nie3Wayne Chen4School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN 47907, USASchool of Aeronautics and Astronautics, Purdue University, West Lafayette, IN 47907, USASchool of Aeronautics and Astronautics, Purdue University, West Lafayette, IN 47907, USASchool of Aeronautics and Astronautics, Purdue University, West Lafayette, IN 47907, USASchool of Aeronautics and Astronautics, Purdue University, West Lafayette, IN 47907, USAA ballistic parameter that influences the ballistic performances of a high-performance yarn is the critical velocity. The critical velocity is defined as the projectile striking velocity that causes instantaneous rupture of the yarn upon impact. In this study, we performed ballistic experiments to determine the critical velocity of a Twaron<sup>®</sup> yarn transversely impacted by a razor blade. A high-speed camera was integrated into the experimental apparatus to capture the in-situ deformation of the yarn. The experimental critical velocity demonstrated a reduction compared to the critical velocity predicted by the classical theory. The high-speed images revealed the yarn specimen failed from the projectile side toward the free end when impacted by the razor blade. To improve the prediction capability, the Euler⁻Bernoulli beam and Hertzian contact models were used to predict the critical velocity. For the Euler⁻Bernoulli beam model, the critical velocity was obtained by assuming the specimen ruptured instantaneously when the maximum flexural strain reached the ultimate tensile strain of the yarn upon impact. On the other hand, for the Hertzian contact model, the yarn was assumed to fail when the indentation depth was equivalent to the diameter of the yarn. The errors between the average critical velocities determined from experiments and the predicted critical velocities were around 19% and 48% for the Euler⁻Bernoulli beam model and Hertzian contact model, respectively.https://www.mdpi.com/2079-6439/6/4/95high-performance fibercritical velocitySmith theoryEuler–Bernoulli beamHertzian contact |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Boon Him Lim Jou-Mei Chu Benjamin Claus Yizhou Nie Wayne Chen |
spellingShingle |
Boon Him Lim Jou-Mei Chu Benjamin Claus Yizhou Nie Wayne Chen Critical Velocity of High-Performance Yarn Transversely Impacted by Razor Blade Fibers high-performance fiber critical velocity Smith theory Euler–Bernoulli beam Hertzian contact |
author_facet |
Boon Him Lim Jou-Mei Chu Benjamin Claus Yizhou Nie Wayne Chen |
author_sort |
Boon Him Lim |
title |
Critical Velocity of High-Performance Yarn Transversely Impacted by Razor Blade |
title_short |
Critical Velocity of High-Performance Yarn Transversely Impacted by Razor Blade |
title_full |
Critical Velocity of High-Performance Yarn Transversely Impacted by Razor Blade |
title_fullStr |
Critical Velocity of High-Performance Yarn Transversely Impacted by Razor Blade |
title_full_unstemmed |
Critical Velocity of High-Performance Yarn Transversely Impacted by Razor Blade |
title_sort |
critical velocity of high-performance yarn transversely impacted by razor blade |
publisher |
MDPI AG |
series |
Fibers |
issn |
2079-6439 |
publishDate |
2018-12-01 |
description |
A ballistic parameter that influences the ballistic performances of a high-performance yarn is the critical velocity. The critical velocity is defined as the projectile striking velocity that causes instantaneous rupture of the yarn upon impact. In this study, we performed ballistic experiments to determine the critical velocity of a Twaron<sup>®</sup> yarn transversely impacted by a razor blade. A high-speed camera was integrated into the experimental apparatus to capture the in-situ deformation of the yarn. The experimental critical velocity demonstrated a reduction compared to the critical velocity predicted by the classical theory. The high-speed images revealed the yarn specimen failed from the projectile side toward the free end when impacted by the razor blade. To improve the prediction capability, the Euler⁻Bernoulli beam and Hertzian contact models were used to predict the critical velocity. For the Euler⁻Bernoulli beam model, the critical velocity was obtained by assuming the specimen ruptured instantaneously when the maximum flexural strain reached the ultimate tensile strain of the yarn upon impact. On the other hand, for the Hertzian contact model, the yarn was assumed to fail when the indentation depth was equivalent to the diameter of the yarn. The errors between the average critical velocities determined from experiments and the predicted critical velocities were around 19% and 48% for the Euler⁻Bernoulli beam model and Hertzian contact model, respectively. |
topic |
high-performance fiber critical velocity Smith theory Euler–Bernoulli beam Hertzian contact |
url |
https://www.mdpi.com/2079-6439/6/4/95 |
work_keys_str_mv |
AT boonhimlim criticalvelocityofhighperformanceyarntransverselyimpactedbyrazorblade AT joumeichu criticalvelocityofhighperformanceyarntransverselyimpactedbyrazorblade AT benjaminclaus criticalvelocityofhighperformanceyarntransverselyimpactedbyrazorblade AT yizhounie criticalvelocityofhighperformanceyarntransverselyimpactedbyrazorblade AT waynechen criticalvelocityofhighperformanceyarntransverselyimpactedbyrazorblade |
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1725806935570120704 |