Evaluation of Deformation and Strength Characteristics of Composites Based on Low-Density Polyethylene and Linen Yarn Production Waste by the Methods of Mathematical Statistics |
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Authors: | Lejnieks J E Kajaks J A Reihmane S A |
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Institution: | (1) Institute of Polymer Materials, Riga Technical University, Riga, LV-1048, Latvia |
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Abstract: | The possibilities of using various methods of mathematical statistics for processing and analyzing the results of deformation and strength tests on composites made from a low-density polyethylene and linen yarn production waste are evaluated. The hypothesis that the experimental strength data agree with the Gaussian distribution is examined by the Shapiro–Wilk test (W-test.) It is shown that the Gaussian distribution, both for systems unmodified and modified with diphenylmethane diisocyanate (DIC), is valid only for two parameters: the maximum tensile strength max and the elastic modulus E
t. For the other parameters (the relative elongation max corresponding to max, the specific total work of failure A
b), and the specific work of failure to the tensile strength A
max), a non-Gaussian distribution is observed. An analysis of measurements for different specimens by the Bartlett test shows that the E
t data have equal variances for both systems (with and without DIC), but for the system containing DIC, the max data have different variances. A two-factor ANOVA analysis reveals that DIC considerably affects the tensile strength and modulus of composites, but the influence of test conditions is a statistically significant factor only for the modulus. The coefficient of variation is considerably lower for max than for E
t and can be used as a quantitative measure for the degree of heterogeneity of the composites investigated. |
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Keywords: | low-density polyethylene linen waste composites deformation and strength characteristics data analysis mathematical statistics |
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