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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...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2019
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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. |
format | Online Article Text |
id | pubmed-6337710 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
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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