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Etude des symétries et modèles de plaques en piézoélectricité linéarisée

Abstract : We apply in the first part the harmonic and Cartan decomposition techniques to piezoelectric material symmetries classification. We show in particular that we shall reduce from 19 to 17 the number of symmetry classes corresponding to the piezoelectric phenomenon.

Then, the asymptotic analysis of linearly piezoelectric plates as the thickness approaches zero shows that, according to the type of boundary conditions considered, two distinct models of electromechanical behaviors may appear. We exhibit the influence of crystalline symmetries on the limit behavior.

Finally, we exhibit four types of asymptotic dynamic behaviors of a piezoelectric plate according to the magnitudes of its thickness and density.
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https://tel.archives-ouvertes.fr/tel-00011243
Contributor : Thibaut Weller <>
Submitted on : Tuesday, December 20, 2005 - 3:02:20 PM
Last modification on : Wednesday, May 29, 2019 - 10:04:02 AM
Long-term archiving on: : Saturday, April 3, 2010 - 7:42:15 PM

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  • HAL Id : tel-00011243, version 1

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Thibaut Weller. Etude des symétries et modèles de plaques en piézoélectricité linéarisée. Mécanique [physics.med-ph]. Université Montpellier II - Sciences et Techniques du Languedoc, 2004. Français. ⟨tel-00011243⟩

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