Titlebook: Imperfect Bifurcation in Structures and Materials; Engineering Use of G Kiyohiro Ikeda,Kazuo Murota Textbook 20021st edition Springer Scien

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Occlusion

https://doi.org/10.1007/978-1-4757-3697-7Bifurcation phenomena; Group-theoretic bifurcation theory; Static bifurcation theory; bifurcation; bifur

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Critical Initial Imperfection (I)the case for domes and shell structures (Hutchinson and Koiter, 1970 [76]). In the design of such structures, it is preferable to consider the “worst” or, in other words, “most detrimental” imperfection that reduces the critical load most rapidly. Such worst imperfection is called the . in this book.

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Experimentally Observed Bifurcation Diagramsighted, e.g., by Ziegler, 1968, 1977 [196]; Thompson and Hunt, 1973, 1984 [174], [175]; Ben-Haim and Elishakoff, 1990 [14]; Bažant and Cedolin, 1991 [12]; and references therein. For bifurcation of materials, refer, e.g., to Hill and Hutchinson, 1975 [69] and Vardoulakis and Sulem, 1992 [184].

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Nomogram

Miscellaneous Aspects of Bifurcation PhenomenaBifurcation behaviors involve various uncertainties and complexities, only a fraction of which has been investigated in the previous chapters of Part III. At the end of this part, we present the miscellaneous aspects of bifurcation phenomena that have not been exhausted by this investigation: