Imperfect Bifurcation in Structures and Materials: Engineering Use of Group-Theoretic Bifurcation Theory (Applied Mathematical Sciences, 149) - Hardcover

Ikeda, Kiyohiro; Murota, Kazuo

 
9780387954097: Imperfect Bifurcation in Structures and Materials: Engineering Use of Group-Theoretic Bifurcation Theory (Applied Mathematical Sciences, 149)
Hardcover
ISBN 10: 0387954090 ISBN 13: 9780387954097
Verlag: Springer, 2002

Inhaltsangabe

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 studies arises from the presence of a large number of initial imperfections. At this state, most of these studies are carried out based on the Monte Carlo simulation for a number of initial imperfections, or, on an imperfection sensitivity law against a single initial imperfection.

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Verlag
Springer
Erscheinungsdatum
2002
Sprache
Englisch
ISBN 10 
0387954090
ISBN 13 
9780387954097
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
431
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Vorgestellte Ausgabe

ISBN 10:  1441970754 ISBN 13:  9781441970756
Verlag: Springer, 2010
Hardcover