Abstract
We prove the anisotropic Korn inequalities for an elastic junction of a massive body with thin plates clamped along parts of the lateral surfaces. The distribution of the weight factors in the norms under consideration depends essentially on the disposition of the plates, the way they are clamped to the body, and their relative rigidity (as compared with the body).
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Original Russian Text Copyright © 2005 Nazarov S. A.
The author was supported by the Russian Foundation for Basic Research (Grant 03-01-00835).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 46, No. 4, pp. 876–889, July–August, 2005.
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Nazarov, S.A. Korn’s Inequalities for Junctions of Elastic Bodies with Thin Plates. Sib Math J 46, 695–706 (2005). https://doi.org/10.1007/s11202-005-0070-6
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DOI: https://doi.org/10.1007/s11202-005-0070-6