Imperfect Bifurcation in Structures and Materials
Engeneering Use of Group-theoretic Bifurcation Theory
(Sprache: Englisch)
This book provides modern investigation into the bifurcation phenomena of physical and structural problems. Systematic methods - based on asymptotic, stochastic, and group-theoretic standpoints - are used to examine experimental and computational data from...
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Produktinformationen zu „Imperfect Bifurcation in Structures and Materials “
This book provides modern investigation into the bifurcation phenomena of physical and structural problems. Systematic methods - based on asymptotic, stochastic, and group-theoretic standpoints - are used to examine experimental and computational data from numerous examples (soil, sand, kaolin, concrete, domes, etc.). 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.
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 ofBifurcation Phenomena.- References.- Index.
Bibliographische Angaben
- Autoren: Kiyohiro Ikeda , Kazuo Murota
- 2002, XVI, 411 Seiten, 194 Abbildungen, Maße: 24 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 0387954090
- ISBN-13: 9780387954097
Sprache:
Englisch
Rezension zu „Imperfect Bifurcation in Structures and Materials “
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."
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