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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 4, Pages 876–889
(Mi smj1011)
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This article is cited in 7 scientific papers (total in 7 papers)
Korn's inequalities for junctions of elastic bodies with thin plates
S. A. Nazarov Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
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).
Keywords:
weighted Korn space, junction of thin elastic bodies, multistructure.
Received: 17.09.2004
Citation:
S. A. Nazarov, “Korn's inequalities for junctions of elastic bodies with thin plates”, Sibirsk. Mat. Zh., 46:4 (2005), 876–889; Siberian Math. J., 46:4 (2005), 695–706
Linking options:
https://www.mathnet.ru/eng/smj1011 https://www.mathnet.ru/eng/smj/v46/i4/p876
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