Imperfect Bifurcation in Structures and Materials
Subtitle: Engineering Use of Group-Theoretic Bifurcation Theory
By: by Kiyohiro Ikeda, Kazuo Murota
Contributors: Murota, Kazuo
Series: Applied Mathematical Sciences -- 149; Applied mathematical sciences (Springer-Verlag New York Inc.) -- 149.
Publisher: Springer New York
Published: 2002
Place of publication: New York, NY
Language: eng
Format: [electronic resource] :
Number of pages: 414
ISBN-13: 9781441929891; 9781475736977
Subjects: Engineering; Differentiable dynamical systems; Mechanical engineering
Description: 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.
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Table of contents: title: Introduction to Bifurcation Behavior; title: Critical Point and Local Behavior; title: Imperfection Sensitivity Laws; title: Critical Initial Imperfections (I); title: Stochasticity of Initial Imperfections (I); title: Experimentally-observed Bifurcation Diagrams; title: Group-theoretic Bifurcation Theory; title: Bifurcation Behavior of Dn-equivariant Systems; title: Critical Initial Imperfections (II); title: Stochasticity of Initial Imperfections (II); title: Description of Bifurcation Behaviors; title: Bifurcation of Cylindrical Sand Specimens; title: Echelon-mode Formation; title: Bifurcation of Steel Specimens; title: Miscellaneous Aspects of Bifurcation Phenomena; title: References; title: Index.