Dyadic Green´s functions of a laminar plate

Author

Reinhardt, Alexandre ; Laude, Vincent ; Khelif, Abdelkrim ; Ballandras, Sylvain

Author_Institution

Lab. de Phys. et Metrologie des Oscillateurs, Univ. de Franche-Comte, Besancon, France

Volume

51

Issue

9

fYear

2004

Firstpage

1157

Lastpage

1164

Abstract

We introduce the concept of dyadic Green´s functions of a laminar plate. These functions generalize classical Green´s functions. In addition to relating displacements and stresses at the surface of a medium, they relate these quantities at both the top and the bottom surfaces of a medium of finite thickness and infinite extent in the transverse directions. We describe here the calculation of these functions in the spectral domain and provide some academic examples demonstrating their interest.

Keywords

Green´s function methods; acoustic resonator filters; acoustic wave propagation; acoustic wave transmission; piezoelectric materials; piezoelectricity; plates (structures); classical Greens functions; dyadic Greens functions; finite thickness; laminar plate; spectral domain; surface displacement; surface stress; transverse directions; Boundary element methods; Conducting materials; Electrodes; Finite element methods; Green´s function methods; Insulation; Interconnected systems; Surface waves; Tensile stress; Transducers;

fLanguage

English

Journal_Title

Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on

Publisher

ieee

ISSN

0885-3010

Type

jour

DOI

10.1109/TUFFC.2004.1334848

Filename

1334848