Fiber Bundles Statistical Models and Applications

This book presents a critical overview of statistical fiber bundle models, including existing models and potential new ones. The authors focus on both the physical and statistical aspects of a specific load-sharing example: the breakdown for circuits of capacitors and related dielectrics. In additio...

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Bibliographic Details
Main Authors: Gleaton, James U., Han, David (Author), Lynch, James D. (Author), Ng, Hon Keung Tony (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2022, 2022
Edition:1st ed. 2022
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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100 1 |a Gleaton, James U. 
245 0 0 |a Fiber Bundles  |h Elektronische Ressource  |b Statistical Models and Applications  |c by James U. Gleaton, David Han, James D. Lynch, Hon Keung Tony Ng, Fabrizio Ruggeri 
250 |a 1st ed. 2022 
260 |a Cham  |b Springer International Publishing  |c 2022, 2022 
300 |a XIII, 157 p. 48 illus., 41 illus. in color  |b online resource 
505 0 |a 1. Introduction and Preliminaries -- 2. Electrical Circuits of Ordinary Capacitors -- 3. Breakdown of Thin-Film Dielectrics -- 4. Cell Models for Dielectrics -- 5. Electrical Breakdown and the Breakdown Formalism -- 6. Statistical Properties of a Load-Sharing Bundle -- 7. Statistical Analysis of Kim and Lee (2004)'s Data -- 8. Circuits of Ordinary Capacitors -- 9. Size Effects Relationships Motivated by the Load-Sharing Cell Model -- 10. Concluding Comments and Future Research Directions 
653 |a Engineering mathematics 
653 |a Statistics  
653 |a Electrical and Electronic Engineering 
653 |a Electrical engineering 
653 |a Electronic circuits 
653 |a Engineering—Data processing 
653 |a Applied Statistics 
653 |a Mechanical engineering 
653 |a Electronic Circuits and Systems 
653 |a Mechanical Engineering 
653 |a Mathematical and Computational Engineering Applications 
700 1 |a Han, David  |e [author] 
700 1 |a Lynch, James D.  |e [author] 
700 1 |a Ng, Hon Keung Tony  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
028 5 0 |a 10.1007/978-3-031-14797-5 
856 4 0 |u https://doi.org/10.1007/978-3-031-14797-5?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 519 
520 |a This book presents a critical overview of statistical fiber bundle models, including existing models and potential new ones. The authors focus on both the physical and statistical aspects of a specific load-sharing example: the breakdown for circuits of capacitors and related dielectrics. In addition, they investigate some areas of open research. This book is designed for graduate students and researchers in statistics, materials science, engineering, physics, and related fields, as well as practitioners and technicians in materials science and mechanical engineering