Heterogeneous linearly piezoelectric patches bonded on a linearly elastic body

Christian Licht (1, 2, 3, 4) , Somsak Orankitjaroen (2, 3) , Patcharakorn Rojchanasuwakul (2) , Thibaut Weller (1, 4)

1 LMGC - Laboratoire de Mécanique et Génie Civil
2 Department of Mathematics
3 Centre of Excellence in Mathematics
4 M3 - Mathématiques et Modélisations en Mécanique

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.

Mots clés: Piezoelectric patches; Dimension reduction; Periodic homogenization

Domaines: Mécanique des solides [physics.class-ph]

Christian Licht, Somsak Orankitjaroen, Patcharakorn Rojchanasuwakul, Thibaut Weller. Heterogeneous linearly piezoelectric patches bonded on a linearly elastic body. Comptes Rendus Mécanique, 2017, 345 (3), pp.184-191. ⟨10.1016/j.crme.2017.01.005⟩. ⟨hal-01493395⟩