A Korn's inequality for incompatible tensor fields
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Contributors
Abstract
We prove a Korn‐type inequality for bounded Lipschitz domains in $\Omega {\rm ~in~}{\rm I\!R}^3$ and non‐symmetric square integrable tensor fields $P : \Omega \to {\rm I\!R}^{3\times 3}$ having square integrable rotation ${\rm Curl~}P : \Omega \to {\rm I\!R}^{3\times 3}$ . For skew‐symmetric P or compatible $P =\nabla\;v$ our estimate reduces to non‐standard variants of Poincaré's or Korn's first inequality, respectively, for which our new estimate can be viewed as a common generalized version. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Details
Original language | English |
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Pages (from-to) | 683-684 |
Number of pages | 2 |
Journal | PAMM |
Volume | 11 |
Issue number | 1 |
Publication status | Published - Dec 2011 |
Peer-reviewed | Yes |
External IDs
ORCID | /0000-0003-4155-7297/work/145698494 |
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