Authors:
- Exercises at the ends of chapters or sections
- Solutions to selected exercises in the book
- Detailed Illustrations
Part of the book series: Applied Mathematical Sciences (AMS, volume 149)
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Table of contents (16 chapters)
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Front Matter
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Imperfect Behavior at Simple Critical Points
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Front Matter
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Imperfect Bifurcation of Symmetric Systems
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Front Matter
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Modeling of Bifurcation Phenomena
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Front Matter
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About this book
Reviews
From the reviews:
MATHEMATICAL REVIEWS
"The book is an excellent source of practical applications for mathematicians working in this field. It fulfills its goal of helping close the gap between mathematical and engineering practice in bifurcation analysis, especially of geomaterials such as sand and soil. A short set of exercises at the end of each chapter makes the book more useful as a text. The book is well organized and quite readable for non-specialists."
"The present book gives a wide and deep description of imperfect bifurcation behaviour in engineering problems. … the book offers a number of systematic methods based on contemporary mathematics. … On balance, the reviewed book is very useful as it develops a modern static imperfect bifurcation theory and fills the gap between mathematical theory and engineering practice." (Boris V. Loginov, Zentralblatt MATH, Vol. 1005, 2003)
"The book is unique in considering the experimental identification of material-dependent bifurcations in structures such as sand, Kaolin (clay), soil and concrete shells. … These are studied statistically. … The book is an excellent source of practical applications for mathematicians working in this field. … A short set of exercises at the end of each chapter makes the book more useful as a text. The book is well organized and quite readable for non-specialists." (Henry W. Haslach, Jr., Mathematical Reviews, Issue 2003 f)
"The current book is a graduate-level text that presents an overview of imperfections and the prediction of the initial post-buckling response of a system. … Imperfect Bifurcation in Structures and Materials provides an extensive range of material on the role of imperfections in stability theory. It would be suitable for a graduate-level course on the subject or as a reference to research workers in the field." (J Petrolito, Applied Mechanics Reviews, Vol. 56 (3), 2003)
"This book is a comprehensive treatment ofthe static bifurcation problems found in (mainly civil/structural) engineering applications. … The text is well written and regularly interspersed with illustrative examples. The mathematical formalism is kept to a minimum and the 194 figures break up the text and make this a highly readable and informative book. … In summary a comprehensive treatment of the subject which is very well put together and of interest to all researchers working in this area: recommended." (David Wagg, UK Nonlinear News, November, 2002)
From the reviews of the second edition:
“The book provides a modern theory of imperfect bifurcation phenomena in physical and engineering problems. … the reviewed book can be useful in developing a modern imperfect bifurcation theory. Additionally, the book can also be considered as a reliable bridge between the mathematical theory and engineering practice.” (Boris V. Loginov, Zentralblatt MATH, Vol. 1204, 2011)
Authors and Affiliations
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Dept. Civil Engineering, Tohoku University, Sendai, Japan
Kiyohiro Ikeda
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Graduate School of Information, Science & Technology, University of Tokyo, Tokyo, Japan
Kazuo Murota
About the authors
Bibliographic Information
Book Title: Imperfect Bifurcation in Structures and Materials
Book Subtitle: Engineering Use of Group-Theoretic Bifurcation Theory
Authors: Kiyohiro Ikeda, Kazuo Murota
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-1-4419-7296-5
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science and Business Media, LLC 2010
Softcover ISBN: 978-1-4614-2665-3Published: 05 November 2012
eBook ISBN: 978-1-4419-7296-5Published: 05 September 2010
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 2
Number of Pages: XX, 520
Additional Information: 2nd edition
Topics: Control and Systems Theory, Mathematical and Computational Engineering, Systems Theory, Control, Dynamical Systems and Ergodic Theory, Solid Mechanics