Engineering Transactions, 68, 3, pp. 269–295, 2020
10.24423/engtrans.1187.20200904

Static Stability Analysis of Mass Sensors Consisting of Hygro-Thermally Activated Graphene Sheets Using a Nonlocal Strain Gradient Theory

Rajendran SELVAMANI
Karunya Institute of Technology and Sciences
India

Karunya Institute of Technology and Sciences
India

Imam Khomieni International University
Iran, Islamic Republic of

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.
Keywords: humid-thermal buckling; refined plate theory; graphene sheets; nonlocal strain gradient; mass sensor
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DOI: 10.24423/engtrans.1187.20200904