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Volume 6
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Article

On the Statistics of Mechanical Failure in Flame-Sprayed Self-Supporting Components

by
Florian Kerber
1,*,
Magda Hollenbach
1,
Marc Neumann
1,
Tony Wetzig
1,
Thomas Schemmel
2,
Helge Jansen
2 and
Christos G. Aneziris
1
1
TU Bergakademie Freiberg, Institute of Ceramics, Refractories and Composite Materials, Agricolastraße 17, 09599 Freiberg, Germany
2
Refratechnik Steel GmbH, Research and Development, Am Seestern 5, 40547 Düsseldorf, Germany
*
Author to whom correspondence should be addressed.
Ceramics 2023, 6(2), 1050-1066; https://doi.org/10.3390/ceramics6020062
Submission received: 21 March 2023 / Revised: 18 April 2023 / Accepted: 23 April 2023 / Published: 25 April 2023
(This article belongs to the Special Issue Ceramic Coatings for High-Temperature Applications)
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Abstract

The objective of this study was to investigate the variability of flexural strength for flame-sprayed ceramic components and to determine which two-parametric distribution function was best suited to represent the experimental data. Moreover, the influence of the number of tested specimens was addressed. The stochastic nature of the flame-spraying process causes a pronounced variation in the properties of potential components, making it crucial to characterise the fracture statistics. To achieve this, this study used two large data sets consisting of 1000 flame-sprayed specimens each. In addition to the standard Weibull approach, the study examined the quality of representing the experimental data using other two-parametric distribution functions (Normal, Log-Normal, and Gamma). To evaluate the accuracy of the distribution functions and their characteristic parameters, random subsamples were generated by resampling of the experimental data, and the results were assessed based on the sampling size. It was found that the experimental data were best represented by either the Weibull or Gamma distribution, and the quality of the fit was correlated with the number of positive and negative outliers. The Weibull fit was more sensitive to positive outliers, whereas the Gamma fit was more sensitive to negative outliers.
Keywords: flame-spraying; fracture statistics; QQ analysis; Weibull distribution; Gamma distribution flame-spraying; fracture statistics; QQ analysis; Weibull distribution; Gamma distribution

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MDPI and ACS Style

Kerber, F.; Hollenbach, M.; Neumann, M.; Wetzig, T.; Schemmel, T.; Jansen, H.; Aneziris, C.G. On the Statistics of Mechanical Failure in Flame-Sprayed Self-Supporting Components. Ceramics 2023, 6, 1050-1066. https://doi.org/10.3390/ceramics6020062

AMA Style

Kerber F, Hollenbach M, Neumann M, Wetzig T, Schemmel T, Jansen H, Aneziris CG. On the Statistics of Mechanical Failure in Flame-Sprayed Self-Supporting Components. Ceramics. 2023; 6(2):1050-1066. https://doi.org/10.3390/ceramics6020062

Chicago/Turabian Style

Kerber, Florian, Magda Hollenbach, Marc Neumann, Tony Wetzig, Thomas Schemmel, Helge Jansen, and Christos G. Aneziris. 2023. "On the Statistics of Mechanical Failure in Flame-Sprayed Self-Supporting Components" Ceramics 6, no. 2: 1050-1066. https://doi.org/10.3390/ceramics6020062

APA Style

Kerber, F., Hollenbach, M., Neumann, M., Wetzig, T., Schemmel, T., Jansen, H., & Aneziris, C. G. (2023). On the Statistics of Mechanical Failure in Flame-Sprayed Self-Supporting Components. Ceramics, 6(2), 1050-1066. https://doi.org/10.3390/ceramics6020062

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