Comptes Rendus
no. 3
Heterogeneous linearly piezoelectric patches bonded on a linearly elastic body
Christian Licht1, 2, 3; Somsak Orankitjaroen2, 3; Patcharakorn Rojchanasuwakul2; Thibaut Weller1 
1 LMGC – UMR 5508 CNRS, Université de Montpellier, cc048, 163, rue Auguste-Broussonnet, 34090 Montpellier, France
2 Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand
3 Centre of Excellence in Mathematics, CHE, Bangkok 10400, Thailand
Comptes Rendus. Mécanique, Volume 345 (2017) no. 3, pp. 184-191.

In [1], we studied the response of a thin homogeneous piezoelectric patch perfectly bonded to an elastic body. Here we extend this study to the case of a very thin heterogeneous patch made of a periodic distribution of piezoelectric inclusions embedded in a linearly elastic matrix and perfectly bonded to an elastic body. Through a rigorous mathematical analysis, we show that various asymptotic models arise, depending on the electromechanical loading together with the relative behavior between the thickness of the patch and the size of the piezoelectric inclusions.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crme.2017.01.005
Mots-clés : Piezoelectric patches, Dimension reduction, Periodic homogenization

Christian Licht 1, 2, 3; Somsak Orankitjaroen 2, 3; Patcharakorn Rojchanasuwakul 2; Thibaut Weller 1

1 LMGC – UMR 5508 CNRS, Université de Montpellier, cc048, 163, rue Auguste-Broussonnet, 34090 Montpellier, France
2 Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand
3 Centre of Excellence in Mathematics, CHE, Bangkok 10400, Thailand 
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Christian Licht; Somsak Orankitjaroen; Patcharakorn Rojchanasuwakul; Thibaut Weller. Heterogeneous linearly piezoelectric patches bonded on a linearly elastic body. Comptes Rendus. Mécanique, Volume 345 (2017) no. 3, pp. 184-191. doi : 10.1016/j.crme.2017.01.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2017.01.005/

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