Junction of thin plates |
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| Institution: | 1. Laboratoire d''Analyse des Contraintes Mécaniques I.F.T.S., 7, boulevard Jean Delautre, 08000 Charleville-Mézières, France;2. Laboratoire de Modélisation en Mécanique Université Pierre et Marie Curie, CNRS UMR 7607, 4, place Jussieu, 75252 Paris Cedex 05, France;1. Université catholique de Louvain, CHU UCL Namur - Site Godinne, Cardiology Service, Yvoir, Belgium;2. Université catholique de Louvain, Clinique St LUC UCL, Service de Cardiologie, Bruxelles, Belgium;3. Scientific Support Unit, CHU UCL Namur, Namur, Belgium;1. Instituto de Energía Solar, Universidad Politécnica de Madrid, Av. Complutense 30, 28040 Madrid, Spain;2. CIEMAT, Av. Complutense 40, 28040 Madrid, Spain;1. School of Computing, Information and Mathematical Sciences, The University of the South Pacific, Suva, Fiji;2. School of Engineering and Physics, The University of the South Pacific, Suva, Fiji;3. RIKEN Center for Integrative Medical Sciences, Yokohama, Japan;4. Institute for Integrated and Intelligent Systems, Griffith University, Queensland, Australia;5. Institute for Sustainable Industries and Liveable Cities, Victoria University Melbourne, Victoria, Australia;1. Institute of Fluid-Flow Machinery, PASci, ul. Gen. J. Fiszera 14, 80-231 Gdańsk, Poland;2. Gdańsk University of Technology, Department of Structural Mechanics, ul. Narutowicza 11/12, 80-233 Gdańsk, Poland |
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| Abstract: | The elasticity problem of a thin plate with an edge is considered using asymptotic methods. The small parameter ε describes the relative thickness of the plate. In the case when the elasticity coefficients are everywhere of the same order of magnitude, the asymptotic behaviour of the plate is such that the angle of the edge remains constant under the deformation (the junction is called `rigid'). We also consider a junction mode of a narrow filet (the order of its width is O(ε)) of a `soft' elastic material, the elasticity coefficients being O(ε) with respect to those of the plates. In this case (called `elastic junction'), the asymptotic modelling contains an energy bilinear form associated with the filet which involves the variation of the angle and the sliding along the junction. |
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