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

Alexander Shabetia, Yurii Rodichev, Fred Veer, Elena Soroka

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

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Abstract

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.
Original languageEnglish
Title of host publicationProceedings of the Challenging Glass Conference 6 (CGC 6)
Subtitle of host publicationInternational Conference on the Architectural and Structural Application of Glass
EditorsChristian Louter, Freek Bos, Jan Belis, Fred Veer, Rob Nijsse
PublisherDelft University of Technology
Pages749-758
Number of pages9
ISBN (Electronic)978-94-6366-044-0
DOIs
Publication statusPublished - May 2018
EventChallenging Glass 6: International Conference on the Architectural and Structural Application of Glass - TU Delft, Delft, Netherlands
Duration: 17 May 201818 May 2018
Conference number: 6
http://www.challengingglass.com
http://challengingglass.com/

Conference

ConferenceChallenging Glass 6
Abbreviated titleCGC
Country/TerritoryNetherlands
CityDelft
Period17/05/1818/05/18
OtherChallenging Glass is an international bi-annual conference that aims at gathering world class designers, engineers, researchers and industry partners to discuss on the architectural and structural use of glass.
Internet address

Keywords

  • glass
  • Weibull Distribution
  • Bending
  • Guaranteed Strength
  • Inhomogeneous - defective materials

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