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Flexural strength of glass using Weibull statistic analysis

Demchyna B., Osadchuk T.

Journal of Achievements in Materials and Manufacturing Engineering

2018

Vol. 87, nr 2

49--61

Purpose: The aim of the study is to measure the flexural strength of glass by proposed experimental procedures. In addition, step-by-step guidelines for the strength data analysis using a two-parameter Weibull distribution are given. Design/methodology/approach: Twelve glass samples of three series were tested by three-point bending with horizontal ‘3PB(H)’ and vertical ‘3PB(V)’ orientation of samples. A two-parameter Weibull distribution was applied as an appropriate model to describe three strength data sets for glass. Findings: The experiments performed on nominally identical glass specimens revealed a wide range of flexural strength values, from 39.77 MPa to 171.71 MPa at a loading rate of not more than 1.05 MPa/s. 3PB(V) samples with vertical orientation demonstrated the flexural strength similar to that of 3PB(H) samples with horizontal orientation. The Weibull modulus, which is the measure of flexural strength variation, was between 2.04 and 5.23 at the coefficient of determination R2 greater than 90% for all series. The characteristic values of the glass strength, corresponding to the 5% fractile value, in accordance with the test evaluation procedure were 23.71 MPa, 31.98 MPa, 53.43 MPa for the first, the second and the third test series, respectively. Research limitations/implications: The maximum flexural strength of glass highly depends on the surface condition, and therefore the strength of the glass of different batches is variable whatever the case may be. For the guaranteed strength of glass used for structural purposes it is necessary to conduct strength tests of the glass from each batch under conditions that closely correspond to actual operating conditions. Practical implications: The obtained strength data is needed for designing glass load bearing constructions subjected to actual operating conditions (e.g. multilayered glass plates working on bending under static loading). Originality/value: A comprehensive overview of the existing methods for glass strength testing was presented. The features of the used flexural tests and the statistical analysis of the measured strength data were described. The results may be of a particular interest to the specialists in the modern design of load bearing glass constructions.

Niekonwencjonalne wyznaczenie funkcji niezawodności pojazdów samochodowych

Zdziennicki Z., Maciejczyk A.

Logistyka

2011

nr 3

W pracy przedstawiono metodę wyznaczenia funkcji niezawodności pojazdów samochodowych. Niezawodność pojazdu samochodowego opisana jest przez dwuparametrowy rozkład Weibulla. W celu umożliwienia praktycznego zastosowania funkcji niezawodności do prognozowania niezawodności pojazdów, przedstawiono metodę ilościowego określenia tej funkcji. Oznacza to konieczność wyznaczenia, w oparciu o przyjęte założenia, wartości nieznanych parametrów rozkładu Weibulla.

The paper presents a method of determining the reliability function of automotive vehicles. Reliability of the automotive vehicle is described by two-parameter Weibull distribution. Thisimplies the designation of unknownparametersWeibulldistribution.