Imperfect bifurcation in structures and materials : engineering use of group-theoretic bifurcation theory
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...
Spremljeno u:
| Glavni autori: | , |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
New York, NY :
Springer New York
2010.
Cham : Springer Nature |
| Serija: | Applied Mathematical Sciences
149 |
| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Bilješka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Imperfect Bifurcation in Structures and Materials, Texte imprimé, 9781461426653 • Imperfect Bifurcation in Structures and Materials, Texte imprimé, 9781441972972 • Imperfect bifurcation in structures and materials, engineering use of group-theoretic bifurcation theory, Kiyohiro Ikeda, Kazuo Murota, 2nd edition, New York, Springer, 2010, 1 vol. (XX-517 p., Applied mathematical sciences, 978-1-4419-7075-6 |
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| 008 | 110106s2010 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN149027265 | ||
| 020 | |a 9781441972965 | ||
| 020 | |a 9781441972965 | ||
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| 082 | |a 629.8 | ||
| 100 | 1 | |a Ikeda, Kiyohiro. | |
| 245 | 1 | 0 | |a Imperfect bifurcation in structures and materials : |b engineering use of group-theoretic bifurcation theory |c by Kiyohiro Ikeda, Kazuo Murota. |
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c 2010. | ||
| 490 | 0 | |a Applied Mathematical Sciences |v 149 |x 2196-968X | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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 on Honeycomb Structures. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 textis 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). | ||
| 700 | 1 | |a Murota, Kazuo, |d 1955- |4 aut | |
| 776 | 0 | |t Imperfect Bifurcation in Structures and Materials |b Texte imprimé |z 9781461426653 | |
| 776 | 0 | |t Imperfect Bifurcation in Structures and Materials |b Texte imprimé |z 9781441972972 | |
| 776 | 0 | |0 150474393 |t Imperfect bifurcation in structures and materials |o engineering use of group-theoretic bifurcation theory |f Kiyohiro Ikeda, Kazuo Murota |e 2nd edition |c New York |n Springer |d 2010 |p 1 vol. (XX-517 p. |s Applied mathematical sciences |z 978-1-4419-7075-6 | |
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