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An asymptotic Reissner–Mindlin plate model
Authors:Christian Licht  Thibaut Weller
Institution:1. LMGC, Université de Montpellier, CNRS, Montpellier, France;2. Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand;3. Centre of Excellence in Mathematics, CHE, Bangkok 10400, Thailand
Abstract:A mathematical study via variational convergence of a periodic distribution of classical linearly elastic thin plates softly abutted together shows that it is not necessary to use a different continuum model nor to make constitutive symmetry hypothesis as starting points to deduce the Reissner–Mindlin plate model.
Keywords:Reissner–Mindlin plate model  Periodic abutting of thin plates  Asymptotic modeling  Variational convergence  Space of bounded deformations
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