Title :

Dispersion characteristics of guided waves in functionally graded anisotropic micro/nano-plates based on the modified couple stress theory

Author(s) :

Liu, Cancan [Auteur]
Yu, Jiangong [Auteur]
Xu, Wei Jiang [Auteur]
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
Transduction, Propagation et Imagerie Acoustique - IEMN [TPIA - IEMN]
Zhang, Xiaoming [Auteur]
Wang, Xianhui [Auteur]

Journal title :

Thin-Walled Structures

Pages :

107527

Publisher :

Elsevier

Publication date :

2021-04

ISSN :

0263-8231

English keyword(s) :

Functionally graded material
Anisotropic small-scale structure
Legendre orthogonal polynomial
Dispersion curves
Couple stress theory

HAL domain(s) :

Sciences de l'ingénieur [physics]
Informatique [cs]
Physique [physics]

English abstract : [en]

In this paper, the acoustic wave motion characteristics of Lamb and SH waves in functionally graded (FG) anisotropic micro/nano-plates are studied based on the modified couple stress theory. A higher efficient computational ...
Show more >In this paper, the acoustic wave motion characteristics of Lamb and SH waves in functionally graded (FG) anisotropic micro/nano-plates are studied based on the modified couple stress theory. A higher efficient computational approach, the extended Legendre orthogonal polynomial method (LOPM) is utilized to deduce solving process. This polynomial method does not need to solve the FG micro/nano-plates hierarchically, which provides a more realistic analysis model for FG micro/nano-plates and has high computational efficiency. Simultaneously, the solutions based on the global matrix method (GMM) are also deduced to verify the correctness of the polynomial method. Furthermore, the effects of size and material gradient are studied in detail. Numerical results show that the size effect causes wrinkles in Lamb wave dispersion curves, and the material gradient characteristic changes the amplitude and range of wrinkles. For SH waves, the length scale parameter L x increases the cutoff frequency but does not change the overall trend of the dispersion curve; on the contrary, L z does not change the cutoff frequency but causes the dispersion curve to show an upward trend.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Institut d'Électronique, de Microélectronique et de Nanotechnologie (IEMN) - UMR 8520

Source :

Harvested from HAL