An asymptotic Reissner–Mindlin plate model

Christian Licht; Thibaut Weller

doi:10.1016/j.crme.2018.04.014

An asymptotic Reissner–Mindlin plate model

Christian Licht ^1,^2,³; Thibaut Weller ¹

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

Comptes Rendus. Mécanique, Volume 346 (2018) no. 6, pp. 432-438.

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.

Received: 2018-04-06
Accepted: 2018-04-15
Published online: 2018-04-30

DOI: 10.1016/j.crme.2018.04.014

Mots clés : Reissner–Mindlin plate model, Periodic abutting of thin plates, Asymptotic modeling, Variational convergence, Space of bounded deformations

Author's affiliations:

Christian Licht ^{1, 2, 3}; Thibaut Weller ¹

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

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     title = {An asymptotic {Reissner{\textendash}Mindlin} plate model},
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     pages = {432--438},
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     year = {2018},
     doi = {10.1016/j.crme.2018.04.014},
     language = {en},
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Christian Licht; Thibaut Weller. An asymptotic Reissner–Mindlin plate model. Comptes Rendus. Mécanique, Volume 346 (2018) no. 6, pp. 432-438. doi : 10.1016/j.crme.2018.04.014. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2018.04.014/

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