LEADER 04845nam 22007695 450 001 9910349332003321 005 20251113211936.0 010 $a3-030-21473-7 024 7 $a10.1007/978-3-030-21473-9 035 $a(CKB)4100000009382574 035 $a(DE-He213)978-3-030-21473-9 035 $a(MiAaPQ)EBC5918689 035 $a(PPN)248602136 035 $a(EXLCZ)994100000009382574 100 $a20190925d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aImperfect Bifurcation in Structures and Materials $eEngineering Use of Group-Theoretic Bifurcation Theory /$fby Kiyohiro Ikeda, Kazuo Murota 205 $a3rd ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XXV, 590 p. 239 illus., 33 illus. in color.) 225 1 $aApplied Mathematical Sciences,$x2196-968X ;$v149 311 08$a3-030-21472-9 320 $aIncludes bibliographical references and index. 327 $aOverview 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 -- Answers to Problems. 330 $aThis book provides a modern static imperfect bifurcation theory applicable to bifurcation phenomena of physical and engineering problems and fills the gap between the mathematical theory and engineering practice. Systematic methods based on asymptotic, probabilistic, and group theoretic standpoints are used to examine experimental and computational data from numerous examples, such as soil, sand, kaolin, honeycomb, and domes. For mathematicians, static bifurcation theory for finite-dimensional systems, as well as its applications for practical problems, is illuminated by numerous examples. Engineers may find this book, with its minimized mathematical formalism, to be a useful introduction to modern bifurcation theory. This third edition strengthens group representation and group-theoretic bifurcation theory. Several large scale applications have been included in association with the progress of computational powers. Problems and answers have been provided. Review of First Edition: "The book is unique in considering the experimental identification of material-dependent bifurcations in structures such as sand, Kaolin (clay), soil and concrete shells. ? These are studied statistically. ? The book is an excellent source of practical applications for mathematicians working in this field. ? A short set of exercises at the end of each chapter makes the book more useful as a text. The book is well organized and quite readable for non-specialists." Henry W. Haslach, Jr., Mathematical Reviews, 2003. 410 0$aApplied Mathematical Sciences,$x2196-968X ;$v149 606 $aSystem theory 606 $aControl theory 606 $aControl engineering 606 $aEngineering mathematics 606 $aEngineering$xData processing 606 $aDynamical systems 606 $aMechanics, Applied 606 $aSolids 606 $aSystems Theory, Control 606 $aControl and Systems Theory 606 $aMathematical and Computational Engineering Applications 606 $aDynamical Systems 606 $aSolid Mechanics 615 0$aSystem theory. 615 0$aControl theory. 615 0$aControl engineering. 615 0$aEngineering mathematics. 615 0$aEngineering$xData processing. 615 0$aDynamical systems. 615 0$aMechanics, Applied. 615 0$aSolids. 615 14$aSystems Theory, Control. 615 24$aControl and Systems Theory. 615 24$aMathematical and Computational Engineering Applications. 615 24$aDynamical Systems. 615 24$aSolid Mechanics. 676 $a515.35 676 $a519 700 $aIkeda$b Kiyohiro$4aut$4http://id.loc.gov/vocabulary/relators/aut$066979 702 $aMurota$b Kazuo$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910349332003321 996 $aImperfect Bifurcation in Structures and Materials$92533823 997 $aUNINA