Asymptotic analysis of a thin linearly elastic plate equipped with a periodic distribution of stiffeners

Christian Licht; Thibaut Weller

doi:10.1016/j.crme.2019.07.001

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Asymptotic analysis of a thin linearly elastic plate equipped with a periodic distribution of stiffeners

Journal article

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Asymptotic analysis of a thin linearly elastic plate equipped with a periodic distribution of stiffeners

Christian Licht and Thibaut Weller

Comptes Rendus. Mécanique, Vol.347(8), pp.555-560

08/2019

DOI: https://doi.org/10.1016/j.crme.2019.07.001

Abstract

Hard abutting and rigidification of plates

Asymptotic modelling

Periodic homogenization

Reduction of dimension

Variational convergence

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.

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Title: Asymptotic analysis of a thin linearly elastic plate equipped with a periodic distribution of stiffeners
Creators - without role: Christian Licht - Laboratoire de Mécanique, Modélisation & Procédés Propres
Thibaut Weller - Laboratoire de Mécanique, Modélisation & Procédés Propres
Publication Details: Comptes Rendus. Mécanique, Vol.347(8), pp.555-560
Identifiers: 9944017109311
Academic Unit: Laboratoire de Mécanique et Génie Civil - LMGC
Language: English
Resource Type: Journal article
Local Fields: hal-02315121