Fiber Bundles - James U. Gleaton, David Han, James D. Lynch, Hon Keung Tony Ng, Fabrizio Ruggeri

Fiber Bundles

Statistical Models and Applications
Buch | Hardcover
XIII, 157 Seiten
2023 | 1st ed. 2022
Springer International Publishing (Verlag)
978-3-031-14796-8 (ISBN)
117,69 inkl. MwSt

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.

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.

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.

Erscheinungsdatum
Reihe/Serie SpringerBriefs in Statistics
Zusatzinfo XIII, 157 p. 48 illus., 41 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 415 g
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Statistik
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Technik Elektrotechnik / Energietechnik
Schlagworte electric circuits • hard breakdown • load-sharing system • Proportional Hazards Model • soft breakdown
ISBN-10 3-031-14796-0 / 3031147960
ISBN-13 978-3-031-14796-8 / 9783031147968
Zustand Neuware
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