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Asymptotic analysis of a thin linearly elastic plate equipped with a periodic distribution of stiffeners |
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| Affiliation: | 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: | We derive several models of thin plates equipped with a periodic distribution of stiffeners. Depending on the orders of magnitude of the different parameters involved, diverse situations arise, from classical Kirchhoff–Love behaviour with additional energy term to full rigidification. |
| Keywords: | Hard abutting and rigidification of plates Asymptotic modelling Periodic homogenization Reduction of dimension Variational convergence |
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