LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	515.39
Dewey Class	515.48
Title	Imperfect Bifurcation in Structures and Materials ([Ebook]) : Engineering Use of Group-Theoretic Bifurcation Theory / by Kiyohiro Ikeda, Kazuo Murota.
Author	Ikeda, Kiyohiro
Added Personal Name	Murota, Kazuo. , 1955-
Other name(s)	SpringerLink (Online service)
Edition statement	2nd edition
Publication	New York, NY : Springer , 2010.
Physical Details	XX, 520 pages : online resource.
Series	Applied mathematical sciences 0066-5452 ; ; 149
ISBN	9781441972965
Summary Note	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). For mathematicians, static bifurcation theory for finite-dimensional systems, as well as its implications for practical problems, is illuminated by the numerous examples. Engineers may find this book, with its minimized mathematical formalism, to be a useful introduction to modern bifurcation theory. 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. Reviews of first edition: "The present book gives a wide and deep description of imperfect bifurcation behaviour in engineering problems. â¦ the book offers a number of systematic methods based on contemporary mathematics. â¦ 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." (Zentralblatt MATH, 2003) "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." ( Applied Mechanics Reviews, 2003) "This book is a comprehensive treatment of the 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." (UK Nonlinear News, 2002):
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4419-7296-5
Links to Related Works	Subject References: Bifurcation theory . Differentiable dynamical systems . Dynamical systems and ergodic theory . Mathematics . Mechanical Engineering . Structural Mechanics . Authors: author . Ikeda, Kiyohiro . Murota, Kazuo. 1955- . Corporate Authors: SpringerLink (Online service) . Series: Applied mathematical sciences . Classification: 515.39 . 515.48 . 515.39 (DDC 23) .

Catalogue Display

Imperfect Bifurcation in Structures and Materials: Engineering Use of Group-Theoretic Bifurcation Theory

Reviews