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Theses

Homogénéisation et simulation numérique de structures piézoélectriques perforées et laminées

Abstract : This thesis is dedicated to the study of the piezoelectricity equation, with rapidly oscillating material coefficients and for the periodic perforated structures. In this thesis we have prospected two approaches; the theoretical and the numerical one.

In the theoretical approach, we establish the homogenized problem and the effective tensors. We also show the properties of these tensors for a three-dimensional perforated structure as the period tends towards zero. Using the same method, we deal with the case of a perforated thin plate and a periodic Koiter-type shell, when the thickness and the period tend towards zero.

The concern of the second constituent of this thesis is the digital simulation of the macroscopic behavior of some particular piezoelectric structures, in the particular: the perforated piezocomposite and the piezocomposite laminated. The results of these simulations open the door to new perspectives, in particular, biomedical imagery, hydrophonic and the vibrations control (spatial filters) applications.
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https://tel.archives-ouvertes.fr/tel-00008496
Contributor : Houari Mechkour <>
Submitted on : Tuesday, February 15, 2005 - 3:49:07 PM
Last modification on : Thursday, July 5, 2018 - 10:40:42 AM
Long-term archiving on: : Friday, April 2, 2010 - 9:29:28 PM

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Houari Mechkour. Homogénéisation et simulation numérique de structures piézoélectriques perforées et laminées. Mathématiques [math]. Université de Marne la Vallée, 2004. Français. ⟨tel-00008496⟩

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