Asymptotic Modeling of piezoelectric plates with electric field gradient

Thibaut Weller (1) , Christian Licht (1)

1 M3 - Modélisation Mathématique en Mécanique

We extend our modeling of smart structures to second order piezoelectricity. We show that three different models have to be taken into account, which broadens the scope of the sensors and actuators field. Second order piezoelectricity being compatible with isotropy, we also propose a systematic study of the impact of crystalline symmetries on our models.

Mots clés: Asymptotic modeling; piezoelectric plates; electric field gradient

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

Thibaut Weller, Christian Licht. Asymptotic Modeling of piezoelectric plates with electric field gradient. Comptes Rendus Mécanique, 2012, 340, pp.405-410. ⟨10.1016/j.crme.2012.02.020⟩. ⟨hal-00742878⟩