Exact Scaling Exponents in Korn and Korn-Type Inequalities for Cylindrical Shells

Abstract

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… (More)
DOI: 10.1137/130948999

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Cite this paper

@article{Grabovsky2014ExactSE, title={Exact Scaling Exponents in Korn and Korn-Type Inequalities for Cylindrical Shells}, author={Yury Grabovsky and Davit Harutyunyan}, journal={SIAM J. Math. Analysis}, year={2014}, volume={46}, pages={3277-3295} }