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
Published: Cham Springer International Publishing 2022, 2022
Edition:1st ed. 2022
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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