The Fiber Bundle Model

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The Fiber Bundle

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Author : Ferenc Kun
language : en
Publisher: Frontiers Media SA
Release Date : 2022-01-10

The Fiber Bundle written by Ferenc Kun and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-10 with Science categories.

The Fiber Bundle Model

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Author : Alex Hansen
language : en
Publisher:
Release Date : 2015

The Fiber Bundle Model written by Alex Hansen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with MATHEMATICS categories.

Fiber Bundles

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Author : James U. Gleaton
language : en
Publisher: Springer Nature
Release Date : 2023-03-15

Fiber Bundles written by James U. Gleaton and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-15 with Mathematics categories.

​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.

The Fiber Bundle Model

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Author : Alex Hansen
language : en
Publisher: John Wiley & Sons
Release Date : 2015-11-02

The Fiber Bundle Model written by Alex Hansen and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-02 with Science categories.

Gathering research from physics, mechanical engineering, and statistics in a single resource for the first time, this text presents the background to the model, its theoretical basis, and applications ranging from materials science to earth science. The authors start by explaining why disorder is important for fracture and then go on to introduce the fiber bundle model, backed by various different applications. Appendices present the necessary mathematical, computational and statistical background required. The structure of the book allows the reader to skip some material that is too specialized, making this topic accessible to the engineering, mechanics and materials science communities, in addition to providing further reading for graduate students in statistical physics.

Critical Behavior In Fiber Bundle Model A Study On Brittle To Quasi Brittle Transition

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Author :
language : en
Publisher:
Release Date : 2015

Critical Behavior In Fiber Bundle Model A Study On Brittle To Quasi Brittle Transition written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.

Modelling Critical And Catastrophic Phenomena In Geoscience

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Author : Pratip Bhattacharyya
language : en
Publisher: Springer
Release Date : 2006-09-10

Modelling Critical And Catastrophic Phenomena In Geoscience written by Pratip Bhattacharyya and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-10 with Science categories.

This book presents a broad survey of models for critical and catastrophic phenomena in the geosciences, with strong emphasis on earthquakes. It assumes the perspective of statistical physics, which provides the theoretical frame for dealing with complex systems in general. This volume addresses graduate students wishing to specialize in the field and researchers working or interested in the field having a background in the physics, geosciences or applied mathematics.

Further Examination And A Local Load Sharing Extension Of Coleman S Time To Failure Model For Fiber Bundles

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Author : Robert Palmer Kelley
language : en
Publisher:
Release Date : 1978

Further Examination And A Local Load Sharing Extension Of Coleman S Time To Failure Model For Fiber Bundles written by Robert Palmer Kelley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Fiber bundles (Mathematics) categories.

The Asymptotic Distribution For The Time To Failure Of A Fiber Bundle

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Author : S. Leigh Phoenix
language : en
Publisher:
Release Date : 1977

The Asymptotic Distribution For The Time To Failure Of A Fiber Bundle written by S. Leigh Phoenix and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.

A model is developed for the failure time of a bundle of fibers subjected to a constant load. At any time, all surviving fibers share the bundle load equally while all failed fibers support no load. The bundle may collapse immediately or fibers may fail randomly in time, possibly more than one at a time. The failure time of the bundle is the failure time of the last surviving fiber. For a single fiber, the c. d. f. for the failure time is given as a specific functional of an arbitrary load history. The model is developed using a quantile process approach. In the most important case the failure time of the bundle is shown to be asymptotically normal with known parameters. The bundle failure model has both the features of static strength and of fatigue failure of earlier analyses, and thus is more realistic than earlier models. (Author).

Fiber Bundles And Homotopy

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Author : Dai Tamaki
language : en
Publisher:
Release Date : 2021

Fiber Bundles And Homotopy written by Dai Tamaki and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Fiber bundles (Mathematics) categories.

This book is an introduction to fiber bundles and fibrations. But the ultimate goal is to make the reader feel comfortable with basic ideas in homotopy theory. The author found that the classification of principal fiber bundles is an ideal motivation for this purpose. The notion of homotopy appears naturally in the classification. Basic tools in homotopy theory such as homotopy groups and their long exact sequence need to be introduced. Furthermore, the notion of fibrations, which is one of three important classes of maps in homotopy theory, can be obtained by extracting the most essential properties of fiber bundles. The book begins with elementary examples and then gradually introduces abstract definitions when necessary. The reader is assumed to be familiar with point-set topology, but it is the only requirement for this book.

Fibre Bundles

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Author : D. Husemöller
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Fibre Bundles written by D. Husemöller and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.

The notion of a fibre bundle first arose out of questions posed in the 1930s on the topology and geometry of manifolds. By the year 1950 the defini tion of fibre bundle had been clearly formulated, the homotopy classifica tion of fibre bundles achieved, and the theory of characteristic classes of fibre bundles developed by several mathematicians, Chern, Pontrjagin, Stiefel, and Whitney. Steenrod's book, which appeared in 1950, gave a coherent treatment of the subject up to that time. About 1955 Milnor gave a construction of a universal fibre bundle for any topological group. This construction is also included in Part I along with an elementary proof that the bundle is universal. During the five years from 1950 to 1955, Hirzebruch clarified the notion of characteristic class and used it to prove a general Riemann-Roch theorem for algebraic varieties. This was published in his Ergebnisse Monograph. A systematic development of characteristic classes and their applications to manifolds is given in Part III and is based on the approach of Hirze bruch as modified by Grothendieck.