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Imperfect bifurcation in structures and materials: engineering use of group-theoretic bifurcation theory

This book provides a modern static imperfect bifurcation theory applicable to bifurcation phenomena of physical and engineering problems and fills the gap between the mathematical theory and engineering practice. Systematic methods based on asymptotic, probabilistic, and group theoretic standpoints...

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Detalles Bibliográficos
Autores principales: Ikeda, Kiyohiro, Murota, Kazuo
Lenguaje:eng
Publicado: Springer 2019
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-030-21473-9
http://cds.cern.ch/record/2700114
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author Ikeda, Kiyohiro
Murota, Kazuo
author_facet Ikeda, Kiyohiro
Murota, Kazuo
author_sort Ikeda, Kiyohiro
collection CERN
description This book provides a modern static imperfect bifurcation theory applicable to bifurcation phenomena of physical and engineering problems and fills the gap between the mathematical theory and engineering practice. Systematic methods based on asymptotic, probabilistic, and group theoretic standpoints are used to examine experimental and computational data from numerous examples, such as soil, sand, kaolin, honeycomb, and domes. For mathematicians, static bifurcation theory for finite-dimensional systems, as well as its applications for practical problems, is illuminated by numerous examples. Engineers may find this book, with its minimized mathematical formalism, to be a useful introduction to modern bifurcation theory. This third edition strengthens group representation and group-theoretic bifurcation theory. Several large scale applications have been included in association with the progress of computational powers. Problems and answers have been provided. Review of First Edition: "The book is unique in considering the experimental identification of material-dependent bifurcations in structures such as sand, Kaolin (clay), soil and concrete shells. … These are studied statistically. … The book is an excellent source of practical applications for mathematicians working in this field. … A short set of exercises at the end of each chapter makes the book more useful as a text. The book is well organized and quite readable for non-specialists." Henry W. Haslach, Jr., Mathematical Reviews, 2003.
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spelling cern-27001142021-04-21T18:15:26Zdoi:10.1007/978-3-030-21473-9http://cds.cern.ch/record/2700114engIkeda, KiyohiroMurota, KazuoImperfect bifurcation in structures and materials: engineering use of group-theoretic bifurcation theoryMathematical Physics and MathematicsThis book provides a modern static imperfect bifurcation theory applicable to bifurcation phenomena of physical and engineering problems and fills the gap between the mathematical theory and engineering practice. Systematic methods based on asymptotic, probabilistic, and group theoretic standpoints are used to examine experimental and computational data from numerous examples, such as soil, sand, kaolin, honeycomb, and domes. For mathematicians, static bifurcation theory for finite-dimensional systems, as well as its applications for practical problems, is illuminated by numerous examples. Engineers may find this book, with its minimized mathematical formalism, to be a useful introduction to modern bifurcation theory. This third edition strengthens group representation and group-theoretic bifurcation theory. Several large scale applications have been included in association with the progress of computational powers. Problems and answers have been provided. Review of First Edition: "The book is unique in considering the experimental identification of material-dependent bifurcations in structures such as sand, Kaolin (clay), soil and concrete shells. … These are studied statistically. … The book is an excellent source of practical applications for mathematicians working in this field. … A short set of exercises at the end of each chapter makes the book more useful as a text. The book is well organized and quite readable for non-specialists." Henry W. Haslach, Jr., Mathematical Reviews, 2003.Springeroai:cds.cern.ch:27001142019
spellingShingle Mathematical Physics and Mathematics
Ikeda, Kiyohiro
Murota, Kazuo
Imperfect bifurcation in structures and materials: engineering use of group-theoretic bifurcation theory
title Imperfect bifurcation in structures and materials: engineering use of group-theoretic bifurcation theory
title_full Imperfect bifurcation in structures and materials: engineering use of group-theoretic bifurcation theory
title_fullStr Imperfect bifurcation in structures and materials: engineering use of group-theoretic bifurcation theory
title_full_unstemmed Imperfect bifurcation in structures and materials: engineering use of group-theoretic bifurcation theory
title_short Imperfect bifurcation in structures and materials: engineering use of group-theoretic bifurcation theory
title_sort imperfect bifurcation in structures and materials: engineering use of group-theoretic bifurcation theory
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-030-21473-9
http://cds.cern.ch/record/2700114
work_keys_str_mv AT ikedakiyohiro imperfectbifurcationinstructuresandmaterialsengineeringuseofgrouptheoreticbifurcationtheory
AT murotakazuo imperfectbifurcationinstructuresandmaterialsengineeringuseofgrouptheoreticbifurcationtheory