An asymptotic model of a multimaterial with a thin piezoeletric interphase

Michele Serpilli

doi:10.1016/j.crme.2014.02.003

An asymptotic model of a multimaterial with a thin piezoeletric interphase

Michele Serpilli ¹

¹ Department of Civil and Building Construction Engineering, and Architecture, Università Politecnica delle Marche, via Brecce Bianche, 60131 Ancona, Italy

Comptes Rendus. Mécanique, Volume 342 (2014) no. 4, pp. 258-262.

Abstract
Résumé

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.

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.

Received: 2013-12-19
Accepted: 2014-02-07
Published online: 2014-03-18

DOI: 10.1016/j.crme.2014.02.003

Keywords: Asymptotic analysis, Piezoelectric materials, Interfaces
Mots-clés : Analyse asymptotique, Matériaux piézoélectriques, Interfaces

Author's affiliations:

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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     title = {An asymptotic model of a multimaterial with a thin piezoeletric interphase},
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     pages = {258--262},
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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/

References
Cited by

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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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