Imperfect bifurcation in structures and materials
Subtitle: engineering use of group-theoretic bifurcation theory
By: Kiyohiro Ikeda, Kazuo Murota
Contributors: Murota, Kazuo, 1955-
Edition: 2nd ed.
Series: Applied mathematical sciences -- v. 149; Applied mathematical sciences (Springer-Verlag New York Inc.) -- v. 149.
Publisher: Springer
Published: 2010
Place of publication: New York
Language: eng
Number of pages: 517
ISBN-13: 9781441970756; 9781441972965
Subjects: Bifurcation theory; Structural analysis (Engineering); Engineering mathematics; Mathematical models
Other titles: Engineering use of group-theoretic bifurcation theory
Notes: Includes bibliographical references (p. 501-510) and index.
Table of contents: title: Overview of book; title: Imperfect behavior at simple critical points: Critical points and local behavior ; Imperfection sensitivity laws ; Worst imperfection (I) ; Random imperfection (I) ; Experimentally observed bifurcation diagrams; title: Imperfect bifurcation of symmetric systems: Group-theoretic bifurcation theory ; Bifurcation behavior of Dn-equivariant systems ; Worst imperfection (II) ; Random imperfection (II) ; Description and computation of bifurcation behaviors ; Efficient transformation for block-diagonalization; title: Modeling of bifurcation phenomena: Bifurcation of cylindrical sand specimens ; Echelon-mode formation ; Bifurcation of steel specimens ; Flower patterns of honeycomb structures.