Title :
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
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;
Journal_Title :
Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on
DOI :
10.1109/TUFFC.2004.1334848
