Homogenization of Elastic Media with Gaseous Inclusions

@article{Baffico2008HomogenizationOE,
  title={Homogenization of Elastic Media with Gaseous Inclusions},
  author={L. Baffico and C{\'e}line Grandmont and Yvon Maday and Axel Osses},
  journal={Multiscale Modeling & Simulation},
  year={2008},
  volume={7},
  pages={432-465}
}
We study the asymptotic behavior of a system modeling a composite material made of an elastic periodically perforated support, with period ε > 0, and a perfect gas placed in each of these perforations, as ε goes to zero. The model we use is linear corresponding to deformations around a reference configuration. We apply both two-scale asymptotic expansion and two-scale convergence methods in order to identify the limit behaviors as ε goes to 0. We state that in the limit, we get a two-scale… CONTINUE READING

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