Imperfect Bifurcation in Structures and Materials
Engineering Use of Group-Theoretic Bifurcation Theory
Authors: Ikeda, Kiyohiro, Murota, Kazuo
- Exercises at the ends of chapters or sections
- Solutions to selected exercises
- Detailed illustrations
- イーブック n/a
- ISBN 978-3-030-21473-9
- ウォーターマーク付、 DRMフリー
- ハードカバー n/a
- ISBN 978-3-030-21472-2
This book provides a modern static imperfect bifurcation theory applicable to bifurcation phenomena of physical and engineering problems and fills the gap between the mathematical theory and engineering practice.
Systematic methods based on asymptotic, probabilistic, and group theoretic standpoints are used to examine experimental and computational data from numerous examples, such as soil, sand, kaolin, honeycomb, and domes. For mathematicians, static bifurcation theory for finite-dimensional systems, as well as its applications for practical problems, is illuminated by numerous examples. Engineers may find this book, with its minimized mathematical formalism, to be a useful introduction to modern bifurcation theory.
This third edition strengthens group representation and group-theoretic bifurcation theory. Several large scale applications have been included in association with the progress of computational powers. Problems and answers have been provided.
Review of First Edition:
"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, 2003
Kiyohiro Ikeda is a Professor in the Department of Civil Engineering, Graduate School of Engineering at Tohoku University. Kazuo Murota is a Professor in the Department of Mathematical Informatics, Graduate School of Information Science and Technology at University of Tokyo.
- Bibliographic Information
- Book Title
- Imperfect Bifurcation in Structures and Materials
- Book Subtitle
- Engineering Use of Group-Theoretic Bifurcation Theory
- Kiyohiro Ikeda
- Kazuo Murota
- Series Title
- Applied Mathematical Sciences
- Series Volume
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- イーブック ISBN
- ハードカバー ISBN
- Series ISSN
- Edition Number
- Number of Pages
- X, 566
- Number of Illustrations
- 206 b/w illustrations, 33 illustrations in colour
- Additional Information
- 2nd edition