Fiber Bundles: Statistical Models and Applications

Author:   James U. Gleaton ,  David Han ,  James D. Lynch ,  Hon Keung Tony Ng
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2022
ISBN:  

9783031147968


Pages:   157
Publication Date:   16 March 2023
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Fiber Bundles: Statistical Models and Applications


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Overview

​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.

Full Product Details

Author:   James U. Gleaton ,  David Han ,  James D. Lynch ,  Hon Keung Tony Ng
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2022
Weight:   0.430kg
ISBN:  

9783031147968


ISBN 10:   3031147960
Pages:   157
Publication Date:   16 March 2023
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

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Author Information

James U. Gleaton is Professor Emeritus in the Department of Mathematics and Statistics at the University of North Florida. David Han is Associate Professor of Management Science and Statistics at the University of Texas at San Antonio. James D. Lynch is Distinguished Professor Emeritus in the Department of Statistics at the University of South Carolina. Hon Keung Tony Ng is Professor in the Department of Mathematical Sciences at Bentley University. Fabrizio Ruggeri is Research Director at the Italian National Research Council in Milan.

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