Dyadic Green's functions of a laminar plate

Alexandre Reinhardt; Vincent Laude; Abdelkrim Khelif; Sylvain Ballandras

doi:10.1109/TUFFC.2004.1334848

Dyadic Green's functions of a laminar plate

Alexandre Reinhardt^*
, Vincent Laude
, Abdelkrim Khelif
, Sylvain Ballandras

^*Corresponding author for this work

Université de Franche-Comté

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1157-1164
Number of pages	8
Journal	IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Volume	51
Issue number	9
DOIs	https://doi.org/10.1109/TUFFC.2004.1334848
Publication status	Published - Sept 2004
Externally published	Yes

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10.1109/TUFFC.2004.1334848

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AU - Khelif, Abdelkrim

AU - Ballandras, Sylvain

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N2 - 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.

AB - 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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Dyadic Green's functions of a laminar plate

Abstract

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