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

Yang, Yongxin; Li, Weijie; Tang, Wenshui; Li, Biao; Zhang, Dengfeng

doi:10.3390/ma12010126

Cited by 13 publications

(9 citation statements)

References 32 publications

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“…In conducting the Weibull analysis of real data, N is limited, and the m value contains an error that depends on N and m [11,16,20,21]. Thus, it is necessary to search for one equation that can best match all the observed m values and is convenient to use.…”

Section: Approximate Methods Of Weibull Modulus Estimationmentioning

confidence: 99%

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A Simple Estimation Method of Weibull Modulus and Verification with Strength Data

Ono

2019

Applied Sciences

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This study examines methods for simplifying estimation of the Weibull modulus. This parameter is an important instrument in understanding the statistical behavior of the strength of materials, especially those of brittle solids. It is shown that a modification of Robinson’s approximate expression can provide good estimates of Weibull modulus values (m) in terms of average strength (<σ>) and standard deviation (S): m = 1.10 <σ>/S. This modified Robinson relation is verified on the basis of 267 Weibull analyses accompanied by <σ> and S measurements. Estimated m values matched normally obtained m values on average within 1%, and each pair of m values was within ± 20%, except for 11 cases. Applications are discussed, indicating that the above relation can offer a quantitative tool based on the Weibull theory to engineering practice. This survey suggests a rule of thumb: ductile metal alloys have Weibull moduli of 10 to 200.

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Section: Approximate Methods Of Weibull Modulus Estimationmentioning

confidence: 99%

“…However, at N = 5, CV = 0.45; that is, a large deviation in m needs to be anticipated. See also recent studies on this subject [20,21]. Note that in these statistical works, N is referred to as sample size instead of sample count, which is used here to differentiate the concept from physical dimensions.…”

Section: Introductionmentioning

confidence: 99%

A Simple Estimation Method of Weibull Modulus and Verification with Strength Data

Ono

2019

Applied Sciences

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“…35 The Monte Carlo Simulation method is a reliable method to resolve the statistical problem in material, mechanical engineering and other fields. 22,36 The Monte Carlo Simulation method is used to obtain the approximate distribution of the sample median of each probability density function in this work. The specific steps are as follows.…”

Section: Sample Size Analysismentioning

confidence: 99%

“…Firstly, for the overall friction coefficient data obtained in this work, a maximum likelihood estimation method and a distribution fitting method are used to find the most suitable probability distribution model for describing the distribution of the friction coefficient data. Then the Monte Carlo Simulation method 22 is used to simulate the sampling distribution of generalized extreme value (GEV) distribution, Lognormal distribution and Burr distribution, respectively. And the relationship between the minimum sample size and the COV is analyzed.…”

Section: Introductionmentioning

confidence: 99%

Analysis of sample size for friction test of short fiber reinforced polymer composites

Guan

Zhang

et al. 2023

Polymer Composites

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According to the recommendations of literature and standards, the minimum sample size for the friction test of thermoplastics is usually 3–5. While this size is valid for the friction test of neat polymer resins with homogeneous structures, its applicability to short fiber reinforced polymer composites with inhomogeneous structures remains unclear because the uneven distribution of discontinuous fibers or fillers in the matrix leads to the performance of the composites being dispersed. In this work, as a typical example, 100 friction samples made of short carbon fiber reinforced polyetherimide (SCF/PEI) composite with a typical content of 10 vol% SCFs are prepared, and their friction coefficients are measured. The maximum likelihood estimation and goodness of fit methods are employed to assess the fitting degree between the overall friction coefficient results and five mathematical distributions. The results show that the overall friction coefficient data distribution is in good agreement with the Lognormal, Generalized extreme value (GEV), and Burr distributions, respectively. Based on the fitting result, the minimum sample size is analyzed by Monte Carlo Simulation. It shows that the minimum sample size strongly depends on the property dispersion parameter (COV: coefficient of variation). Based on this parameter, the minimum sample size is given. In a practical test, the performance dispersion degree of a composite cannot be known in advance, hence a sample size determination method is proposed to yield a reasonable performance description parameter by applying the results of this work, and this method is validated by the overall test data.Highlights Proposed a sample size determination method for practical friction tests. The minimum sample size for the friction test is yielded statistically. The minimum sample size strongly depends on a property dispersion parameter.

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“…It is necessary to solve this intractable issue to extend structural service life, especially under the marine environment. As a kind of composite material, carbon fiber reinforced polymer (CFRP) possesses excellent properties, such as high tensile strength, good corrosion resistance, and is lightweight [3][4][5][6][7], making it an ideal alternative reinforcement to effectively prevent the steel corrosion. However, the FRP bar is brittle with low elastic modulus and high price, hindering the large-scale application in civil engineering [8,9].…”

Section: Introductionmentioning

confidence: 99%

Study on the Flexural Performance of Hybrid-Reinforced Concrete Beams with a New Cathodic Protection System Subjected to Corrosion

et al. 2020

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Steel corrosion is considered as the main factor for the insufficient durability of concrete structures, especially in the marine environment. In this paper, to further inhibit steel corrosion in a high chloride environment and take advantage of the dual-functional carbon fiber reinforced polymer (CFRP), the impressed current cathodic protection (ICCP) technique was applied to the hybrid-reinforced concrete beam with internally embedded CFRP bars and steel fiber reinforced polymer composite bar (SFCB) as the anode material while the steel bar was compelled to the cathode. The effect of the new ICCP system on the flexural performance of the hybrid-reinforced concrete beam subjected to corrosion was verified experimentally. First, the electricity-accelerated precorrosion test was performed for the steel bar in the hybrid-reinforced beams with a target corrosion ratio of 5%. Then, the dry–wet cycles corrosion was conducted and the ICCP system was activated simultaneously for the hybrid-reinforced concrete beam for 180 days. Finally, the three-point bending experiment was carried out for the hybrid-reinforced concrete beams. The steel bars were taken out from the concrete to quantitatively measure the corrosion ratio after flexural tests. Results showed that the further corrosion of steel bars could be inhibited effectively by the ICCP treatment with the CFRP bar and the SFCB as the anode. Additionally, the ICCP system showed an obvious effect on the flexural behavior of the hybrid-reinforced concrete beams: The crack load and ultimate load, as well as the stiffness, were enhanced notably compared with the beam without ICCP treatment. Compared with the SFCB anode, the ICCP system with the CFRP bar as the anode material was more effective for the hybrid-reinforced concrete beam to prevent the steel corrosion.

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

Cited by 13 publications

References 32 publications

A Simple Estimation Method of Weibull Modulus and Verification with Strength Data

A Simple Estimation Method of Weibull Modulus and Verification with Strength Data

Analysis of sample size for friction test of short fiber reinforced polymer composites

Study on the Flexural Performance of Hybrid-Reinforced Concrete Beams with a New Cathodic Protection System Subjected to Corrosion

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