A Transversely Isotropic Magneto-electro-elastic Circular Kirchhoff Plate Model Incorporating Microstructure Effect - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Acta Mechanica Solida Sinica Année : 2022

A Transversely Isotropic Magneto-electro-elastic Circular Kirchhoff Plate Model Incorporating Microstructure Effect

Résumé

A non-classical model for transversely isotropic magneto-electro-elastic circular Kirchhoff plates is established based on the extended modified couple stress theory. The Gibbs-type variational principle is used to obtain the governing equations and boundary conditions. To illustrate the newly derived model, the static bending problem of a clamped circular plate subjected to a uniformly distributed constant load is solved numerically by Fourier-Bessel series. The numerical results show that the values of transverse displacement, electric and magnetic potentials predicted by the current model are always smaller than those of the classical model, and the differences are diminishing as the plate thickness increases. In addition, it is shown that the magneto-electro-elastic coupling effect plays an important role in the transverse displacement, electric potential and magnetic potential of the magneto-electro-elastic circular Kirchhoff plates. Furthermore, several reduced specific models are provided for simpler cases.
Fichier principal
Vignette du fichier
AMSS2021.pdf (1.12 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03334426 , version 1 (03-09-2021)

Identifiants

Citer

Wei Shen, Gongye Zhang, Shuitao Gu, Yu Cong. A Transversely Isotropic Magneto-electro-elastic Circular Kirchhoff Plate Model Incorporating Microstructure Effect. Acta Mechanica Solida Sinica, 2022, 35, pp.185--197. ⟨10.1007/s10338-021-00271-7⟩. ⟨hal-03334426⟩
73 Consultations
84 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More