Comptes Rendus
An asymptotic model of a multimaterial with a thin piezoeletric interphase
[Un modèle asymptotique d'un multimatériau avec une interphase piézoélectrique mince]
Comptes Rendus. Mécanique, Volume 342 (2014) no. 4, pp. 258-262.

On étudie le comportement électromécanique d'un multimatériau constitué d'un corps de type plaque piézoélectrique isotrope transverse de grande rigidité inséré entre deux corps 3D piézoélectriques génériques à travers la méthode des développements asymptotiques. Après avoir défini un petit paramètre adimensionnel ε qui tend vers zéro, on caractérise le modèle limite et son problème limite associé. De plus, on identifie les conditions de transmission éléctroméchaniques non classiques entre les deux corps 3D.

We study the electromechanical behavior of a multimaterial constituted by a linear piezoelectric transversely isotropic plate-like body with high rigidity embedded between two generic three-dimensional piezoelectric bodies by means of the asymptotic expansion method. After defining a small real dimensionless parameter ε, which will tend to zero, we characterize the limit model and the associated limit problem. Moreover, we identify the non-classical electromechanical transmission conditions between the two three-dimensional bodies.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2014.02.003
Keywords: Asymptotic analysis, Piezoelectric materials, Interfaces
Mot clés : Analyse asymptotique, Matériaux piézoélectriques, Interfaces
Michele Serpilli 1

1 Department of Civil and Building Construction Engineering, and Architecture, Università Politecnica delle Marche, via Brecce Bianche, 60131 Ancona, Italy
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Michele Serpilli. An asymptotic model of a multimaterial with a thin piezoeletric interphase. Comptes Rendus. Mécanique, Volume 342 (2014) no. 4, pp. 258-262. doi : 10.1016/j.crme.2014.02.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2014.02.003/

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[6] G. Geymonat; S. Hendili; F. Krasucki; M. Serpilli; M. Vidrascu Asymptotic expansions and domain decomposition, Proc. 21st International Conference on Domain Decomposition Methods, INRIA, Rennes, France, 25–29 June 2012

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