Asymptotically exact Korn%26apos;s constant for thin cylindrical domains

作者:Paroni Roberto*; Tomassetti Giuseppe
来源:Comptes Rendus Mathematique, 2012, 350(15-16): 749-752.
DOI:10.1016/j.crma.2012.09.013

摘要

We consider a cylinder Omega(epsilon) having fixed length and small cross-section epsilon omega with omega subset of R-2. Let 1/K-epsilon be the Korn constant of Omega(epsilon). We show that, as epsilon tends to zero, K-epsilon/epsilon(2) converges to a positive constant. We provide a characterization of this constant in terms of certain parameters that depend on omega.

  • 出版日期2012-8