Legendre and Laguerre polynomial approach ...
Type de document :
Compte-rendu et recension critique d'ouvrage
DOI :
Titre :
Legendre and Laguerre polynomial approach for modeling of wave propagation in layered magneto-electro-elastic media
Auteur(s) :
Bou Matar Lacaze, Olivier [Auteur]
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
Gasmi, Noura [Auteur]
Zhou, Huan [Auteur]
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
Goueygou, Marc [Auteur]
Talbi, Abdelkrim [Auteur]

Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
Gasmi, Noura [Auteur]
Zhou, Huan [Auteur]
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
Goueygou, Marc [Auteur]

Talbi, Abdelkrim [Auteur]

Titre de la revue :
Journal of the Acoustical Society of America
Pagination :
1415-1424
Éditeur :
Acoustical Society of America
Date de publication :
2013
ISSN :
0001-4966
Discipline(s) HAL :
Sciences de l'ingénieur [physics]
Résumé en anglais : [en]
A numerical method to compute propagation constants and mode shapes of elastic waves in layered piezoelectric-piezomagnetic composites, potentially deposited on a substrate, is described. The basic feature of the method ...
Lire la suite >A numerical method to compute propagation constants and mode shapes of elastic waves in layered piezoelectric-piezomagnetic composites, potentially deposited on a substrate, is described. The basic feature of the method is the expansion of particle displacement, stress fields, electric and magnetic potentials in each layer on different polynomial bases: Legendre for a layer of finite thickness and Laguerre for the semi-infinite substrate. The exponential convergence rate of the method for propagation of Love waves is numerically verified. The main advantage of the method is to directly determine complex wave numbers for a given frequency via a matricial eigenvalue problem, in a way that no transcendental equation has to be solved. Results are presented and the method is discussed.Lire moins >
Lire la suite >A numerical method to compute propagation constants and mode shapes of elastic waves in layered piezoelectric-piezomagnetic composites, potentially deposited on a substrate, is described. The basic feature of the method is the expansion of particle displacement, stress fields, electric and magnetic potentials in each layer on different polynomial bases: Legendre for a layer of finite thickness and Laguerre for the semi-infinite substrate. The exponential convergence rate of the method for propagation of Love waves is numerically verified. The main advantage of the method is to directly determine complex wave numbers for a given frequency via a matricial eigenvalue problem, in a way that no transcendental equation has to be solved. Results are presented and the method is discussed.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Source :