| Description |
1 online resource (xx, 517 pages) : illustrations |
| Series |
Applied mathematical sciences ; v. 149 |
|
Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 149.
|
| Contents |
Overview of book -- Imperfect behavior at simple critical points: Critical points and local behavior ; Imperfection sensitivity laws ; Worst imperfection (I) ; Random imperfection (I) ; Experimentally observed bifurcation diagrams -- 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 -- Modeling of bifurcation phenomena: Bifurcation of cylindrical sand specimens ; Echelon-mode formation ; Bifurcation of steel specimens ; Flower patterns of honeycomb structures |
| Summary |
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. ... the book offers a number of systematic methods based on contemporary mathematics. ... 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) |
| Bibliography |
Includes bibliographical references (pages 501-510) and index |
| Notes |
English |
| Subject |
Engineering mathematics.
|
|
Bifurcation theory.
|
|
Structural analysis (Engineering) -- Mathematical models
|
|
Matemáticas para ingenieros
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Bifurcation theory
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Engineering mathematics
|
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Structural analysis (Engineering) -- Mathematical models
|
| Form |
Electronic book
|
| Author |
Murota, Kazuo, 1955-
|
| LC no. |
2010935020 |
| ISBN |
9781441972965 |
|
144197296X |
|
1441970754 |
|
9781441970756 |
|
1280391405 |
|
9781280391408 |
|
9786613569325 |
|
6613569321 |
|
