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Imperfect Bifurcation In Structures And Materials: Engineering Use Of Group-theoretic Bifurcation Theory (applied Mathematical Sciences) by Kiyohiro Ikeda, Kazuo Murota (auth.) is a nonfiction available to read on EtoBox.

What is Imperfect Bifurcation In Structures And Materials: Engineering Use Of Group-theoretic Bifurcation Theory (applied Mathematical Sciences) about?

Many physical systems lose or gain stability and pattern through bifurca­ tion behavior. Extensive research of this behavior is carried out in many fields of science and engineering. The study of dynamic bifurcation be­ havior, for example, has made clear the mechanism of dynamic instability and chaos. The group-theoretic bifurcation theory is an established means to deal with the formation and selection of patterns in association with symmetry-breaking bifurcation. Since all physical systems are "imperfect," in that they inevitably involve some initial imperfections, the study of im­ perfect bifurcation (bifurcation of imperfect systems) has drawn a keen mathematical interest to yield a series of important results, such as the universal unfolding. In structural mechanics, bifurcation behavior has been studied to model the buckling and failure of structural systems. The sharp reduction of the strength of structural systems by initial imperfections is formulated as im­ perfection sensitivity laws. A series of statistical studies has been conducted to make clear the dependence of the strength of structures on the statis­ tical variation of initial imperfections. A difficulty in these

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Author
Kiyohiro Ikeda, Kazuo Murota (auth.)
Publisher
Springer New York : Imprint : Springer
Published
2002
Language
EN
ISBN
9780387954097
Category
nonfiction
Subjects
Science, Mathematics, Engineering

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