Geodesic
Homogenization of linearized elasticity systems with traction condition in perforated domains
Electronic journal of differential equations, Tome 1999 (1999)
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__a127,
     author = {El Hajji,  Mohamed},
     title = {Homogenization of linearized elasticity systems with traction condition in perforated domains},
     journal = {Electronic journal of differential equations},
     year = {1999},
     volume = {1999},
     zbl = {0952.74060},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a127/}
}
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VL  - 1999
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%0 Journal Article
%A El Hajji,  Mohamed
%T Homogenization of linearized elasticity systems with traction condition in perforated domains
%J Electronic journal of differential equations
%D 1999
%V 1999
%U http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a127/
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%F EJDE_1999__1999__a127
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__a127/