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Static stability analysis of mass sensors consisting of hygro-thermally activated graphene sheets using a nonlocal strain gradient theory

Selvamani Rajendran, Mahaveer-Sreejayan Madasamy, Ebrahimi Farzad

Engineering Transactions

2020

Vol. 68, iss. 3

269--295

This paper develops a nonlocal strain gradient plate model for buckling analysis of graphene sheets under hygro-thermal environments with mass sensors. For a more accurate analysis of graphene sheets, the proposed theory contains two scale parameters related to the nonlocal and strain gradient effects. The graphene sheet is modeled via a two-variable shear deformation plate theory that does not need shear correction factors. Governing equations of a nonlocal strain gradient graphene sheet on the elastic substrate are derived via Hamilton’s principle. Galerkin’s method is implemented to solve the governing equations for different boundary conditions. Effects of different factors, such as moisture concentration rise, temperature rise, nonlocal parameter, length scale parameter, nanoparticle mass and geometrical parameters, on buckling characteristics of graphene sheets are examined and presented as dispersion graphs.

Effect of material composition on bending analysis of FG plates via a two-variable refined hyperbolic theory

Bouazza M., Zenkour A. M., Benseddiq N.

Archives of Mechanics

2018

Vol. 70, nr 2

107--129

The major novelty of the article is an application of a two-variable refined hyperbolic shear deformation theory based on studying the bending behavior of functionally graded material (FGM) plates with simply-supported edges. The influence of variating material characteristics and volume fraction of the constituent on bending behavior of the FG plate is examined. The advantage of this theory over other contributions is that a number of functional variables is reduced. All presented problems that have been solved previously, but have not studied the effect on changing plate characteristics, material composition are reinvented.