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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.
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Alex Hansen, Per C. Hemmer, and Srutarshi Pradhan The Fiber Bundle Model Related Titles Mishnaevsky Jr, L.L., Mishnaevsky, L. Computational Mesomechanics of Composites - Numerical Analysis of the Effects of Microstructures of Composites on Their Strength 2007 Print ISBN: 978-0-470-02764-6; also available in electronic formats Kagan, Y. Earthquakes Models, Statistics, Testable Forecasts 2014 Print ISBN: 978-1-118-63792-0; also available in electronic formats Goehring, L., Nakahara, A., Dutta, T., Kitsunezaki, S., Tarafdar, S. Desiccation Cracks and their Patterns Formation and Modelling in Science and Nature 2015 Print ISBN: 978-3-527-41213-6; also available in electronic formats Soumyajyoti Biswas, Purusattam Ray, and Bikas K. Chakrabarti Statistical Physics of Fracture, Breakdown, and Earthquake Effects of Disorder and Heterogeneity 2015 Print ISBN: 978-3-527-41219-8; also available in electronic formats Alex Hansen, Per C. Hemmer, and Srutarshi Pradhan The Fiber Bundle Model Modeling Failure in Materials The Authors Alex Hansen Norwegian University of Science and Technology 7491 Trondheim Norway Per C. Hemmer Norwegian University of Science and Technology 7491 Trondheim Norway Srutarshi Pradhan SINTEF Petroleum Research S.P. Andersens vei 15b 7031 Trondheim Norway All books published by Wiley-VCH are carefully produced. Nevertheless, authors, editors, and publisher do not warrant the information contained in these books, including this book, to be free of errors. Readers are advised to keep in mind that statements, data, illustrations, procedural details or other items may inadvertently be inaccurate. Library of Congress Card No.: applied for British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. Bibliographic information published by the Deutsche Nationalbibliothek The Deutsche Nationalbibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data are available on the Internet at . © 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Boschstr. 12, 69469 Weinheim, Germany All rights reserved (including those of translation into other languages). No part of this book may be reproduced in any form – by photoprinting, microfilm, or any other means – nor transmitted or translated into a machine language without written permission from the publishers. Registered names, trademarks, etc. used in this book, even when not specifically marked as such, are not to be considered unprotected by law. Print ISBN: 978-3-527-41214-3 ePDF ISBN: 978-3-527-67199-1 ePub ISBN: 978-3-527-67198-4 Mobi ISBN: 978-3-527-67197-7 oBook ISBN: 978-3-527-67196-0 Cover Design Schulz Grafik-Design, Fußgönheim, Germany Typesetting SPi Global, Chennai, India Printing and Binding Markono Print Media Pte Ltd., Singapore Printed on acid-free paper V Contents Preface XIII 1 1.1 1.1.1 1.2 1.3 1.4 1.5 1.6 2 2.1 2.2 2.3 2.4 2.5 2.5.1 2.5.2 3 3.1 3