Abraded Glass Strength: An Ad Hoc Fitting Protocol Based on the Change of Variable Theorem
Joint Authors
Zammori, Francesco
Ferretti, Camilla
Ganugi, Piero
Pisano, Gabriele
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-29
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This work tackles the problem of finding a suitable statistical model to describe relevant glass properties, such as the strength under tensile stress.
As known, glass is a brittle material, whose strength is strictly related to the presence of microcracks on its surface.
The main issue is that the number of cracks, their size, and orientation are of random nature, and they may even change over time, due to abrasion phenomena.
Consequently, glass strength should be statistically treated, but unfortunately none of the known probability distributions properly fit experimental data, when measured on abraded and/or aged glass panes.
Owing to these issues, this paper proposes an innovative method to analyze the statistical properties of glass.
The method takes advantage of the change of variable theorem and uses an ad-hoc transforming function to properly account for the distortion, on the original probability distribution of the glass strength, induced by the abrasion process.
The adopted transforming function is based on micromechanical theory, and it provides an optimal fit of the experimental data.
American Psychological Association (APA)
Ferretti, Camilla& Ganugi, Piero& Pisano, Gabriele& Zammori, Francesco. 2020. Abraded Glass Strength: An Ad Hoc Fitting Protocol Based on the Change of Variable Theorem. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1201188
Modern Language Association (MLA)
Ferretti, Camilla…[et al.]. Abraded Glass Strength: An Ad Hoc Fitting Protocol Based on the Change of Variable Theorem. Mathematical Problems in Engineering No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1201188
American Medical Association (AMA)
Ferretti, Camilla& Ganugi, Piero& Pisano, Gabriele& Zammori, Francesco. Abraded Glass Strength: An Ad Hoc Fitting Protocol Based on the Change of Variable Theorem. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1201188
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1201188