no. 1
Asymptotic analysis for periodic perforated shells
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 55 (2021) no. 1, pp. 1-36

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.

DOI : 10.1051/m2an/2020067
Classification : 35B27, 74Q05, 74K25, 74B05
Keywords: Homogenization, dimension reduction, linear elasticity, shell, perforated domains 
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     title = {Asymptotic analysis for periodic perforated shells},
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     year = {2021},
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Griso, Georges; Hauck, Michael; Orlik, Julia. Asymptotic analysis for periodic perforated shells. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 55 (2021) no. 1, pp. 1-36. doi: 10.1051/m2an/2020067

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