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Sample Sizes Based on Weibull Distribution and Normal Distribution for FRP Tensile Coupon Test

Current guidelines stipulate a sample size of five for a tensile coupon test of fiber reinforced polymer (FRP) composites based on the assumption of a normal distribution and a sample coefficient of variation (COV) of 0.058. Increasing studies have validated that a Weibull distribution is more appro...

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Autores principales: Yang, Yongxin, Li, Weijie, Tang, Wenshui, Li, Biao, Zhang, Dengfeng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6337710/
https://www.ncbi.nlm.nih.gov/pubmed/30609741
http://dx.doi.org/10.3390/ma12010126
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author Yang, Yongxin
Li, Weijie
Tang, Wenshui
Li, Biao
Zhang, Dengfeng
author_facet Yang, Yongxin
Li, Weijie
Tang, Wenshui
Li, Biao
Zhang, Dengfeng
author_sort Yang, Yongxin
collection PubMed
description Current guidelines stipulate a sample size of five for a tensile coupon test of fiber reinforced polymer (FRP) composites based on the assumption of a normal distribution and a sample coefficient of variation (COV) of 0.058. Increasing studies have validated that a Weibull distribution is more appropriate in characterizing the tensile properties of FRP. However, few efforts have been devoted to sample size evaluation based on a Weibull distribution. It is not clear if the Weibull distribution will result in a more conservative sample size value. In addition, the COV of FRP’s properties can vary from 5% to 15% in practice. In this study, the sample size based on a two-parameter Weibull distribution is compared with that based on a normal distribution. It is revealed that the Weibull distribution results in almost the same sample size as the normal distribution, which means that the sample size based on a normal distribution is applicable. For coupons with COVs varying from 0.05 to 0.20, the sample sizes range from less than 10 to more than 60. The use of only five coupons will lead to a prediction error of material property between 6.2% and 24.8% for COVs varying from 0.05 to 0.20.
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spelling pubmed-63377102019-01-22 Sample Sizes Based on Weibull Distribution and Normal Distribution for FRP Tensile Coupon Test Yang, Yongxin Li, Weijie Tang, Wenshui Li, Biao Zhang, Dengfeng Materials (Basel) Article Current guidelines stipulate a sample size of five for a tensile coupon test of fiber reinforced polymer (FRP) composites based on the assumption of a normal distribution and a sample coefficient of variation (COV) of 0.058. Increasing studies have validated that a Weibull distribution is more appropriate in characterizing the tensile properties of FRP. However, few efforts have been devoted to sample size evaluation based on a Weibull distribution. It is not clear if the Weibull distribution will result in a more conservative sample size value. In addition, the COV of FRP’s properties can vary from 5% to 15% in practice. In this study, the sample size based on a two-parameter Weibull distribution is compared with that based on a normal distribution. It is revealed that the Weibull distribution results in almost the same sample size as the normal distribution, which means that the sample size based on a normal distribution is applicable. For coupons with COVs varying from 0.05 to 0.20, the sample sizes range from less than 10 to more than 60. The use of only five coupons will lead to a prediction error of material property between 6.2% and 24.8% for COVs varying from 0.05 to 0.20. MDPI 2019-01-02 /pmc/articles/PMC6337710/ /pubmed/30609741 http://dx.doi.org/10.3390/ma12010126 Text en © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Yang, Yongxin
Li, Weijie
Tang, Wenshui
Li, Biao
Zhang, Dengfeng
Sample Sizes Based on Weibull Distribution and Normal Distribution for FRP Tensile Coupon Test
title Sample Sizes Based on Weibull Distribution and Normal Distribution for FRP Tensile Coupon Test
title_full Sample Sizes Based on Weibull Distribution and Normal Distribution for FRP Tensile Coupon Test
title_fullStr Sample Sizes Based on Weibull Distribution and Normal Distribution for FRP Tensile Coupon Test
title_full_unstemmed Sample Sizes Based on Weibull Distribution and Normal Distribution for FRP Tensile Coupon Test
title_short Sample Sizes Based on Weibull Distribution and Normal Distribution for FRP Tensile Coupon Test
title_sort sample sizes based on weibull distribution and normal distribution for frp tensile coupon test
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6337710/
https://www.ncbi.nlm.nih.gov/pubmed/30609741
http://dx.doi.org/10.3390/ma12010126
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