| Issue |
ESAIM: M2AN
Volume 55, Number 1, January-February 2021
|
|
|---|---|---|
| Page(s) | 1 - 36 | |
| DOI | https://doi.org/10.1051/m2an/2020067 | |
| Published online | 18 February 2021 | |
Asymptotic analysis for periodic perforated shells
1
Sorbonne Université, CNRS, Université de Paris, Laboratoire Jacques-Louis Lions (LJLL), F-75005 Paris, France
2
Fraunhofer ITWM, Fraunhofer-Platz 1, 67663 Kaiserslautern, Germany
* Corresponding author: michael.hauck91@gmail.com
julia.orlik@itwm.fraunhofer.de
Received:
6
November
2019
Accepted:
3
September
2020
We consider a perforated half-cylindrical thin shell and investigate the limit behavior when the period and the thickness simultaneously go to zero. By using the decomposition of shell displacements presented in Griso [JMPA 89 (2008) 199–223] we obtain a priori estimates. With the unfolding and rescaling operator we transform the problem to a reference configuration. In the end this yields a homogenized limit problem for the shell.
Mathematics Subject Classification: 35B27 / 74Q05 / 74K25 / 74B05
Key words: Homogenization / dimension reduction / linear elasticity / shell / perforated domains
© EDP Sciences, SMAI 2021
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