Article In: cienciavitae

Free vibration of advanced composite plates using a new higher order shear deformation theory

European Journal of Mechanics - A/Solids

Li, Mengzhen; Yan, Renjun; Guedes Soares, Carlos — 2021 — Elsevier BV

Key information

Authors:

Li, Mengzhen; Yan, Renjun; Guedes Soares, Carlos (Carlos Guedes Soares)

Published in

July 2021

Abstract

A new shear deformation theory is introduced to conduct free vibration analysis of the functionally graded plates with simply supported boundary conditions. The shear functions presented in this study vary with gradient index and satisfy the stress-free boundary conditions on the top and bottom surfaces of functionally graded plates without using any shear correction factor. The displacement field is expressed as undetermined integral terms. The governing differential equation and boundary conditions are derived based on Hamilton's principle. The material properties of the functionally graded plates discussed in this paper are assumed to vary through the thickness according to the power-law distribution and the Mori-Tanaka scheme. The amplitude-frequency relationships of the FGM plates are presented and compared with the exsiting results and the obtained numerical results are compared with other 2D and quasi-3D solutions to verify the accuracy and efficiency of the present theory.

Publication details

Authors in the community:

Publication version

VoR - Version of Record

Publisher

Elsevier BV

Link to the publisher's version

https://www.sciencedirect.com/science/article/abs/pii/S0997753821000309?via%3Dihub

Title of the publication container

European Journal of Mechanics - A/Solids

First page or article number

104236

Volume

88

ISSN

0997-7538

DOI

10.1016/j.euromechsol.2021.104236

Fields of Science and Technology (FOS)

other-engineering-and-technologies - Other engineering and technologies

Keywords

  • General Physics and Astronomy
  • Mechanical Engineering
  • Mechanics of Materials
  • General Materials Science
  • Functionally graded material
  • Analytical modeling
  • Natural frequency
  • New plate theory

Publication language (ISO code)

eng - English

Alternative identifier (URI)

http://dx.doi.org/10.1016/j.euromechsol.2021.104236

Rights type:

Restricted access