Asymptotic analysis for periodic perforated shells

Michael Hauck, Julia Orlik, Georges Griso
2020 Mathematical Modelling and Numerical Analysis  
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 [12] 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 fatcat:jmqticuw4vh2ja7zdy36dy2y4u