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Weighted Korn inequalities for thin-walled elastic structures |
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| Authors: | OV Izotova Serguei A Nazarov Guido H Sweers |
| Institution: | aInstitute of Mechanical Engineering Problems, V.O., Bolshoi pr., 61, 199178 St.-Petersburg, Russia;bDelft Institute of Applied Mathematics, TU Delft, P.O. Box 5031, 2600 GA Delft, The Netherlands;cMathematisches Institut, Universität zu Köln, Weyertal 86–90, 50931 Köln, Germany |
| Abstract: | Appropriate weighted norms in H1 are presented such that the Korn type inequality is asymptotically sharp with respect to relative thickness and stiffness of the elastic plates. The weights depend crucially on the geometric structure of the plates' junction. To cite this article: O.V. Izotova et al., C. R. Mecanique 334 (2006). |
| Keywords: | Computational solid mechanics Korn's inequality Elastic junction Thin platesMots-clé s: Mé canique des solides numé rique Iné galité de Korn Jonction é lastique Plaques minces |
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