relation: https://eprints.uet.vnu.edu.vn/eprints/id/eprint/3427/
title: Nonlinear dynamic response of FGM porous plates on elastic foundation subjected to thermal and mechanical loads using the first order shear deformation theory
creator: Nguyen, Dinh Duc
creator: Vu, Dinh Quan
creator: Pham, Dinh Nguyen
creator: Trinh, Minh Chien
subject: Scopus-indexed journals
description: In this paper, the first-order shear deformation theory is used to derive theoretical formulations illustrating the nonlinear dynamic response of functionally graded porous plates under thermal and mechanical loadings supported by Pasternak’s model of the elastic foundation. Two types of porosity including evenly distributed porosities (Porosity-I) and unevenly distributed porosities (Porosity-II) are assumed as effective properties of FGM plates such as Young’s modulus, the coefficient of thermal expansion, and density. The strain-displacement formulations using Von Karman geometrical nonlinearity and general Hooke’s law are used to obtain constitutive relations. Airy stress functions with full motion equations which is employed to shorten the number of governing equations along with the boundary and initial conditions lead to a system of differential equations of the nonlinear dynamic response of porous FGM plates. Considering linear parts of these equations, natural frequencies of porous FGM plates are determined. By employing Runge-Kutta method, the numerical results illustrate the influence of geometrical configurations, volume faction index, porosity, elastic foundations, and mechanical as well as thermal loads on the nonlinear dynamic response of the plates. Good agreements are obtained in comparison with other results in the literature.
publisher: Shahid Chamran University of Ahvaz, Iran
date: 2018-08
type: Article
type: PeerReviewed
identifier:   Nguyen, Dinh Duc and Vu, Dinh Quan and Pham, Dinh Nguyen and Trinh, Minh Chien  (2018) Nonlinear dynamic response of FGM porous plates on elastic foundation subjected to thermal and mechanical loads using the first order shear deformation theory.  Journal of Applied and Computational Mechanics, 4  (4).   245 -259.  ISSN 2383-4536     
relation: 10.22055/jacm.2018.23219.1151