Homogenization of linearized elasticity systems with traction condition in perforated domains
Electronic Journal of Differential Equations, Tome 1999 (1999).

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Summary: In this paper, we study the asymptotic behavior of the linearized elasticity system with nonhomogeneous traction condition in perforated domains. To do that, we use the $H_e^0$-convergence introduced by M. El Hajji in [4] which generalizes - in the case of the linearized elasticity system - the notion of $H^0$-convergence introduced by M. Briane, A. Damlamian and P. Donato in[1]. We give then some examples to illustrate this result.
Classification : 73C02, 35B27, 35J55, 35J67
Keywords: homogenization, elasticity, $H_e^0$-convergence, double periodicity
@article{EJDE_1999__1999__a29,
     author = {El Hajji, Mohamed},
     title = {Homogenization of linearized elasticity systems with traction condition in perforated domains},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {1999},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a29/}
}
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El Hajji, Mohamed. Homogenization of linearized elasticity systems with traction condition in perforated domains. Electronic Journal of Differential Equations, Tome 1999 (1999). http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a29/