Imperfect Bifurcation in Structures and Materials
Engineering Use of Group-Theoretic Bifurcation Theory
(Sprache: Englisch)
This book provides a modern investigation into the bifurcation phenomena of physical and engineering problems. Systematic methods - based on asymptotic, probabilistic, and group-theoretic standpoints - are used to examine experimental and computational data...
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Klappentext zu „Imperfect Bifurcation in Structures and Materials “
This book provides a modern investigation into the bifurcation phenomena of physical and engineering problems. Systematic methods - based on asymptotic, probabilistic, and group-theoretic standpoints - are used to examine experimental and computational data from numerous examples (soil, sand, kaolin, concrete, domes). Engineers may find this book, with its minimized mathematical formalism, to be a useful introduction to modern bifurcation theory. For mathematicians, static bifurcation theory for finite-dimensional systems, as well as its implications for practical problems, is illuminated by the numerous examples.This second edition strengthens the theoretical backgrounds of group representation theory and its application, uses of block-diagonalization in bifurcation analysis, and includes up-to-date topics of the bifurcation analysis of diverse materials from rectangular parallelepiped sand specimens to honeycomb cellular solids.
From the 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 [...]. A short set of exercises at the end of each chapter makes the book more useful as a text." Mathematical Reviews
Inhaltsverzeichnis zu „Imperfect Bifurcation in Structures and Materials “
Introduction to Bifurcation Behavior.- Critical Point and Local Behavior.- Imperfection Sensitivity Laws.- Critical Initial Imperfections (I).- Stochasticity of Initial Imperfections (I).- Experimentally-observed Bifurcation Diagrams.- Group-theoretic Bifurcation Theory.- Bifurcation Behavior of Dn-equivariant Systems.- Critical Initial Imperfections (II).- Stochasticity of Initial Imperfections (II).- Description of Bifurcation Behaviors.- Bifurcation of Cylindrical Sand Specimens.- Echelon-mode Formation.- Bifurcation of Steel Specimens.- Miscellaneous Aspects of Bifurcation Phenomena.- References.- Index.
Autoren-Porträt von Kiyohiro Ikeda, Kazuo Murota
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.
Bibliographische Angaben
- Autoren: Kiyohiro Ikeda , Kazuo Murota
- 2010, 2nd Ed., XX, 520 Seiten, Maße: 15,6 x 23,4 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 1441970754
- ISBN-13: 9781441970756
Sprache:
Englisch
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