Exact scaling exponents in Korn and Korn-type inequalities for cylindrical shells
Genre
Journal ArticleDate
2014-01-01Author
Grabovsky, YHarutyunyan, D
Permanent link to this record
http://hdl.handle.net/20.500.12613/5921
Metadata
Show full item recordDOI
10.1137/130948999Abstract
© 2014 Society for Industrial and Applied Mathematics. Understanding asymptotics of gradient components in relation to the symmetrized gradient is important 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 analogue of the Kirchhoff ansatz, whose most prominent feature is its singular dependence on the slenderness parameter, in marked contrast with the classical case of plates and rods.Citation to related work
Society for Industrial & Applied Mathematics (SIAM)Has part
SIAM Journal on Mathematical AnalysisADA compliance
For Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.eduae974a485f413a2113503eed53cd6c53
http://dx.doi.org/10.34944/dspace/5903