Prediction of Strength for Inhomogeneous - Defective Glass Elements Based on the Sequential Partitioning of the Data and Weibull Statistical Distribution

An analytical approach based on the on the sequential partitioning of the data and Weibull Statistical Distribution for inhomogeneous - defective materials is proposed. It allows assessing the guaranteed strength of glass structures for the low probability of fracture with a higher degree of reliab...

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Autores principales:	Alexander Shabetia, Yurii Rodichev, Frederic Veer, Elena Soroka
Formato:	article
Lenguaje:	EN
Publicado:	Challenging Glass Conference 2018
Materias:	Glass Weibull Distribution Bending Guaranteed Strength Inhomogeneous - defective materials Clay industries. Ceramics. Glass TP785-869
Acceso en línea:	https://doaj.org/article/44f932f7eaba488cba182c280e84ffda
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spelling	oai:doaj.org-article:44f932f7eaba488cba182c280e84ffda2021-12-04T05:12:13ZPrediction of Strength for Inhomogeneous - Defective Glass Elements Based on the Sequential Partitioning of the Data and Weibull Statistical Distribution10.7480/cgc.6.21952589-8019https://doaj.org/article/44f932f7eaba488cba182c280e84ffda2018-05-01T00:00:00Zhttps://proceedings.challengingglass.com/index.php/cgc/article/view/129https://doaj.org/toc/2589-8019 An analytical approach based on the on the sequential partitioning of the data and Weibull Statistical Distribution for inhomogeneous - defective materials is proposed. It allows assessing the guaranteed strength of glass structures for the low probability of fracture with a higher degree of reliability. Parameters of equations for the piecewise linear approximation for Weibull statistical distribution have been defined on the example of processing of bending tests results for float glass. The advisability of using this approach to structural elements of different size is proved. It was shown that excluding the minimum values from the sample does not lead to the uni-modal distribution. A group of values, forming the lower branch of the distribution, appears again. Statistical analysis of the distribution curves made it possible to identify groups of defects, the technological removal of which would ensure an increase in the guaranteed level of strength. The results are the basis for solving optimization problems when you need to get a guaranteed level of strength for a given probability of fracture with minimal costs for glass element manufacture and treatment. Alexander ShabetiaYurii RodichevFrederic VeerElena SorokaChallenging Glass ConferencearticleGlassWeibull DistributionBendingGuaranteed StrengthInhomogeneous - defective materialsClay industries. Ceramics. GlassTP785-869ENChallenging Glass Conference Proceedings, Vol 6, Iss 1 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Glass Weibull Distribution Bending Guaranteed Strength Inhomogeneous - defective materials Clay industries. Ceramics. Glass TP785-869
spellingShingle	Glass Weibull Distribution Bending Guaranteed Strength Inhomogeneous - defective materials Clay industries. Ceramics. Glass TP785-869 Alexander Shabetia Yurii Rodichev Frederic Veer Elena Soroka Prediction of Strength for Inhomogeneous - Defective Glass Elements Based on the Sequential Partitioning of the Data and Weibull Statistical Distribution
description	An analytical approach based on the on the sequential partitioning of the data and Weibull Statistical Distribution for inhomogeneous - defective materials is proposed. It allows assessing the guaranteed strength of glass structures for the low probability of fracture with a higher degree of reliability. Parameters of equations for the piecewise linear approximation for Weibull statistical distribution have been defined on the example of processing of bending tests results for float glass. The advisability of using this approach to structural elements of different size is proved. It was shown that excluding the minimum values from the sample does not lead to the uni-modal distribution. A group of values, forming the lower branch of the distribution, appears again. Statistical analysis of the distribution curves made it possible to identify groups of defects, the technological removal of which would ensure an increase in the guaranteed level of strength. The results are the basis for solving optimization problems when you need to get a guaranteed level of strength for a given probability of fracture with minimal costs for glass element manufacture and treatment.
format	article
author	Alexander Shabetia Yurii Rodichev Frederic Veer Elena Soroka
author_facet	Alexander Shabetia Yurii Rodichev Frederic Veer Elena Soroka
author_sort	Alexander Shabetia
title	Prediction of Strength for Inhomogeneous - Defective Glass Elements Based on the Sequential Partitioning of the Data and Weibull Statistical Distribution
title_short	Prediction of Strength for Inhomogeneous - Defective Glass Elements Based on the Sequential Partitioning of the Data and Weibull Statistical Distribution
title_full	Prediction of Strength for Inhomogeneous - Defective Glass Elements Based on the Sequential Partitioning of the Data and Weibull Statistical Distribution
title_fullStr	Prediction of Strength for Inhomogeneous - Defective Glass Elements Based on the Sequential Partitioning of the Data and Weibull Statistical Distribution
title_full_unstemmed	Prediction of Strength for Inhomogeneous - Defective Glass Elements Based on the Sequential Partitioning of the Data and Weibull Statistical Distribution
title_sort	prediction of strength for inhomogeneous - defective glass elements based on the sequential partitioning of the data and weibull statistical distribution
publisher	Challenging Glass Conference
publishDate	2018
url	https://doaj.org/article/44f932f7eaba488cba182c280e84ffda
work_keys_str_mv	AT alexandershabetia predictionofstrengthforinhomogeneousdefectiveglasselementsbasedonthesequentialpartitioningofthedataandweibullstatisticaldistribution AT yuriirodichev predictionofstrengthforinhomogeneousdefectiveglasselementsbasedonthesequentialpartitioningofthedataandweibullstatisticaldistribution AT fredericveer predictionofstrengthforinhomogeneousdefectiveglasselementsbasedonthesequentialpartitioningofthedataandweibullstatisticaldistribution AT elenasoroka predictionofstrengthforinhomogeneousdefectiveglasselementsbasedonthesequentialpartitioningofthedataandweibullstatisticaldistribution
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Prediction of Strength for Inhomogeneous - Defective Glass Elements Based on the Sequential Partitioning of the Data and Weibull Statistical Distribution

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