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Dyadic Green's functions of a laminar plate

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4 Author(s)
Reinhardt, Alexandre ; Lab. de Phys. et Metrologie des Oscillateurs, Univ. de Franche-Comte, Besancon, France ; Laude, S. ; Khelif, A. ; Ballandras, S.

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.

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Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on  (Volume:51 ,  Issue: 9 )