Theoretical study of elastic wave propagation ...
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
Theoretical study of elastic wave propagation through a functionally graded micro-structured plate base on the modified couple-stress theory
Author(s) :
Liu, Cancan [Auteur]
Yu, Jiangong [Auteur]
Xu, Wei Jiang [Auteur]
INSA Institut National des Sciences Appliquées Hauts-de-France [INSA Hauts-De-France]
Transduction, Propagation et Imagerie Acoustique - IEMN [TPIA - IEMN]
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
Zhang, Xiaoming [Auteur]
Zhang, Bo [Auteur]
Yu, Jiangong [Auteur]
Xu, Wei Jiang [Auteur]

INSA Institut National des Sciences Appliquées Hauts-de-France [INSA Hauts-De-France]
Transduction, Propagation et Imagerie Acoustique - IEMN [TPIA - IEMN]
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
Zhang, Xiaoming [Auteur]
Zhang, Bo [Auteur]
Journal title :
Meccanica
Pages :
1153-1167
Publisher :
Springer Verlag
Publication date :
2020-05
ISSN :
0025-6455
HAL domain(s) :
Sciences de l'ingénieur [physics]
Informatique [cs]
Physique [physics]
Informatique [cs]
Physique [physics]
English abstract : [en]
In this paper, two different methods, Legendre orthogonal polynomial method (LOPM) and Global matrix method (GMM), are combined with the couple-stress theory to investigate the reflection and transmission of P wave in a ...
Show more >In this paper, two different methods, Legendre orthogonal polynomial method (LOPM) and Global matrix method (GMM), are combined with the couple-stress theory to investigate the reflection and transmission of P wave in a functionally graded (FG) couple-stressed plate immersed in liquid. The GMM needs to divide the FG plate into the multilayered model, with each layer containing six partial waves. However, the LOPM only expands the displacement vectors in the FG couple-stressed plate into the Legendre orthogonal polynomial series. The paper shows that both methods are in good agreement. Nevertheless, the proposed LOPM is more efficient for the FG microstructure because it does not require plate delamination and calculation of the displacements of each partial wave. It also shows that the couple-stress effect affects the resonant frequencies of the FG plate, decreasing the number of resonant frequencies. By controlling the gradient field, some resonances can be avoided.Show less >
Show more >In this paper, two different methods, Legendre orthogonal polynomial method (LOPM) and Global matrix method (GMM), are combined with the couple-stress theory to investigate the reflection and transmission of P wave in a functionally graded (FG) couple-stressed plate immersed in liquid. The GMM needs to divide the FG plate into the multilayered model, with each layer containing six partial waves. However, the LOPM only expands the displacement vectors in the FG couple-stressed plate into the Legendre orthogonal polynomial series. The paper shows that both methods are in good agreement. Nevertheless, the proposed LOPM is more efficient for the FG microstructure because it does not require plate delamination and calculation of the displacements of each partial wave. It also shows that the couple-stress effect affects the resonant frequencies of the FG plate, decreasing the number of resonant frequencies. By controlling the gradient field, some resonances can be avoided.Show less >
Language :
Anglais
Popular science :
Non
Source :