In this article, we obtain the -convergence as a limit case of the -convergence. More precisely, if is a perforated domain with (admissible) holes and denote its characteristic function and if , we show how the behavior as of the double sequence of tensors is connected to . These results extend those given by Cioranescu, Damlamian, Donato and Mascarenhas in  for the -convergence of the scalar second elliptic operators to the linearized elasticity systems.
Submitted July 6, 2006. Published October 31, 2006.
Math Subject Classifications: 35B40, 74B05.
Key Words: Homogenization; H-convergence; linearized elasticity system; perforated domains.
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| Hamid Haddadou |
Institut Nationale de formation en Informatique
BP 68, Oued Smar, El Harrach
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