Title :
Dyadic Green´s function of a laminar plate
Author :
Reinhardt, Alexandre ; Laude, Vincent ; Ballandras, Sylvain
Author_Institution :
Lab. de Phys. et Metrologie des Oscillateurs, Univ. de Franche-Compte, Besancon, France
Abstract :
In this paper, we introduce the concept of dyadic Green´s function of a laminar plate. This function acts as the classical Green´s function, but instead of linking displacements at the surface of a medium to the stresses applied at this location, it links displacements to stresses at both sides of a plate of finite thickness and infinite extent in the transverse directions. We describe here the calculation of this function and give some academic examples demonstrating its interest.
Keywords :
Green´s function methods; acoustic wave propagation; dyadic Green function; finite thickness; laminar plate; linking displacements; stress application; transverse directions; Boundary element methods; Eigenvalues and eigenfunctions; Electric potential; Finite element methods; Green´s function methods; Joining processes; Numerical models; Polarization; Stress; Surface waves;
Conference_Titel :
Ultrasonics, 2003 IEEE Symposium on
Print_ISBN :
0-7803-7922-5
DOI :
10.1109/ULTSYM.2003.1293101
