Asymptotic curved interface models in piezoelectric composites

Michele Serpilli

doi:10.1016/j.crme.2016.08.001

Asymptotic curved interface models in piezoelectric composites

Michele Serpilli ¹

¹ Department of Civil and Building Engineering, and Architecture, Polytechnic University of Marche, via Brecce Bianche, 60131 Ancona, Italy

Comptes Rendus. Mécanique, Volume 344 (2016) no. 10, pp. 744-749.

Abstract

We study the electromechanical behavior of a thin interphase, constituted by a piezoelectric anisotropic shell-like thin layer, embedded between two generic three-dimensional piezoelectric bodies by means of the asymptotic analysis in a general curvilinear framework. After defining a small real dimensionless parameter ε, which will tend to zero, we characterize two different limit models and their associated limit problems, the so-called weak and strong piezoelectric curved interface models, respectively. Moreover, we identify the non-classical electromechanical transmission conditions at the interface between the two three-dimensional bodies.

Received: 2016-07-19
Accepted: 2016-08-04
Published online: 2016-08-12

DOI: 10.1016/j.crme.2016.08.001

Mots-clés : Asymptotic analysis, Piezoelectric materials, Curved interfaces

Author's affiliations:

Michele Serpilli ¹

¹ Department of Civil and Building Engineering, and Architecture, Polytechnic University of Marche, via Brecce Bianche, 60131 Ancona, Italy

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     title = {Asymptotic curved interface models in piezoelectric composites},
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Michele Serpilli. Asymptotic curved interface models in piezoelectric composites. Comptes Rendus. Mécanique, Volume 344 (2016) no. 10, pp. 744-749. doi : 10.1016/j.crme.2016.08.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2016.08.001/

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