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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2010.
|
| Edición: | 2nd ed. 2010. |
| Colección: | Applied Mathematical Sciences,
149 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
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| 001 | 978-1-4419-7296-5 | ||
| 003 | DE-He213 | ||
| 005 | 20220116091108.0 | ||
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| 008 | 100907s2010 xxu| s |||| 0|eng d | ||
| 020 | |a 9781441972965 |9 978-1-4419-7296-5 | ||
| 024 | 7 | |a 10.1007/978-1-4419-7296-5 |2 doi | |
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| 082 | 0 | 4 | |a 003 |2 23 |
| 100 | 1 | |a Ikeda, Kiyohiro. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Imperfect Bifurcation in Structures and Materials |h [electronic resource] : |b Engineering Use of Group-Theoretic Bifurcation Theory / |c by Kiyohiro Ikeda, Kazuo Murota. |
| 250 | |a 2nd ed. 2010. | ||
| 264 | 1 | |a New York, NY : |b Springer New York : |b Imprint: Springer, |c 2010. | |
| 300 | |a XX, 520 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Applied Mathematical Sciences, |x 2196-968X ; |v 149 | |
| 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. | |
| 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 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). | ||
| 650 | 0 | |a Control engineering. | |
| 650 | 0 | |a Engineering mathematics. | |
| 650 | 0 | |a Engineering-Data processing. | |
| 650 | 0 | |a System theory. | |
| 650 | 0 | |a Control theory. | |
| 650 | 0 | |a Dynamical systems. | |
| 650 | 0 | |a Mechanics, Applied. | |
| 650 | 0 | |a Solids. | |
| 650 | 1 | 4 | |a Control and Systems Theory. |
| 650 | 2 | 4 | |a Mathematical and Computational Engineering Applications. |
| 650 | 2 | 4 | |a Systems Theory, Control . |
| 650 | 2 | 4 | |a Dynamical Systems. |
| 650 | 2 | 4 | |a Solid Mechanics. |
| 700 | 1 | |a Murota, Kazuo. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9781441970756 |
| 776 | 0 | 8 | |i Printed edition: |z 9781461426653 |
| 776 | 0 | 8 | |i Printed edition: |z 9781441972972 |
| 830 | 0 | |a Applied Mathematical Sciences, |x 2196-968X ; |v 149 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-1-4419-7296-5 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||