New asymptotically sharp Korn and Korn-like inequalities in thin domains

Davit Harutyunyan

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arXiv · 1307.7299

New asymptotically sharp Korn and Korn-like inequalities in thin domains

Davit Harutyunyan

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Abstract

It is well known that Korn inequality plays a central role in the theory of linear elasticity. In the present work we prove new asymptotically sharp Korn and Korn-like inequalities in thin curved domains with a non-constant thickness. This new results will be useful when studying the buckling of compressed shells, in particular when calculating the critical buckling load.

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Davit Harutyunyan. 2013-12-12. New asymptotically sharp Korn and Korn-like inequalities in thin domains. https://arxiv.org/abs/1307.7299

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