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Evaluation of Physical and Mechanical Properties of Cotton Warps Under a Cyclic Load of Stretch-Abrasion

Guo Min, Liu Jianli, Zhu Bo, Gao Weidong

Autex Research Journal

2022

Vol. 22, no. 1

135--141

The fatigue behavior of cotton warps was studied by a newly weaving load simulator (WLS) developed in our laboratory. Reborn hairiness, strength retention, and elongation retention of sized warps were adopted to evaluate the physical and mechanical properties of sized warps under stretch-abrasion cyclic loading. The influences of different fatigue cycles on the above three indicators were also discussed. The results indicated that the fatigue behavior of the cotton warps accompanied by abrasion yields a three-parameter Weibull distribution. All the fitting plots show acceptable linearity. Moreover, there is a strong relationship of quadratic polynomial between the tensile properties and the fatigue cycle of the sized warps according to the scatter fitting (R2 > 91.08%). Similarly, there is also a good relationship of quadratic polynomial between the reborn hairiness index and the fatigue cycle of the sized warps (R2 > 94.51%). Finally, regardless of the strength retention, elongation retention, and reborn hairiness, the physical and mechanical properties of the cotton warps still change with the continuous increase of the fatigue cycle after 40% of the fatigue cycle, but it is not significant. The research was helpful to estimate the capacity of the warps to sustain failure.

Analysis of estimation of parameters in 3P-Weibull Kjc distribution: sample size effect

Allas Diego Omar, Perez-Ipiña Juan Elías, Berejnoi Carlos

Engineering Transactions

2021

Vol. 69, iss. 2

195--210

The minimum sample size for a good estimation of the parameters in both three-parameter Weibull KJc distribution (3P-W) and ASTM E1921 methods was analyzed. Additionally, the estimations provided by maximum likelihood (ML) and linear regression (LR) were compared. Fracture toughness sets with different sample sizes were randomly generated following a 3P-W with parameters corresponding to experimental datasets from the Euro round robin fracture toughness test. Then, LR and ML were applied to the sets and the parameters were estimated. Standard deviation (SD) and interquartile range (IQR) were employed to analyze the goodness of fit. The results of this paper were consistent with the necessity of large sample sizes (over 30) to find a representative value of the threshold and shape parameters. However, the scale parameter showed a lower scatter and can be estimated with a smaller sample size (around six samples), as used in the standard ASTM E1921-19b

Rozkład Weibulla w badaniach wymywalności farb naszkliwnych

Karaś A., Chmielewska D., Rećko W. M.

Szkło i Ceramika

2010

R. 61, nr 5

44-46

Pokazano zastosowanie trójparametrowego rozkładu Weibulla dla statystyki odwrotności wymywalności ołowiu z naszkliwnej farby białej i czarnej.

Weibull's three parameter distribution was used to describe converse acetic acid resistance (to Pb) overglaze colours: white and black.