We consider a cylinder Ω ε having fixed length and small cross-section εω with ω⊂R2. Let 1/K ε be the Korn constant of Ω ε. We show that, as ε tends to zero, K ε/ε 2 converges to a positive constant. We provide a characterization of this constant in terms of certain parameters that depend on ω.
Asymptotically exact Korn's constant for thin cylindrical domains
Paroni, Roberto;
2012-01-01
Abstract
We consider a cylinder Ω ε having fixed length and small cross-section εω with ω⊂R2. Let 1/K ε be the Korn constant of Ω ε. We show that, as ε tends to zero, K ε/ε 2 converges to a positive constant. We provide a characterization of this constant in terms of certain parameters that depend on ω.File in questo prodotto:
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