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• W2953002344 abstract "Understanding asymptotics of gradient components in relation to the symmetrized gradient is im- portant for the analysis of buckling of slender structures. For circular cylindrical shells we obtain the exact scaling exponent of the Korn constant as a function of shell's thickness. Equally sharp results are obtained for individual components of the gradient in cylindrical coordinates. We also derive an ana- logue of the Kirchho? ansatz, whose most prominent feature is its singular dependence on the slenderness parameter, in marked contrast with the classical case of plates and rods." @default.
• W2953002344 created "2019-06-27" @default.
• W2953002344 creator A5015430983 @default.
• W2953002344 creator A5040134907 @default.
• W2953002344 date "2013-12-13" @default.
• W2953002344 modified "2023-09-27" @default.
• W2953002344 title "Exact scaling exponents in Korn and Korn-type inequalities for cylindrical shells" @default.
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• W2953002344 hasPublicationYear "2013" @default.
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