Bending, buckling, and free vibration analysis of MSGT microcomposite Reddy plate reinforced by FG-SWCNTs with temperature-dependent material properties under hydro-thermo-mechanical loadings using DQM

In this paper, using third-order shear deformation theory (TSDT) and modified strain gradient theory (MSGT), bending, buckling and free vibration behaviors of microcomposite plate reinforced by functionally graded single-walled carbon nanotube (FG-SWCNT) under hydro-thermal environments are investigated. The generalized rule of mixture is employed to predict mechanical, moisture and thermal properties of micro composite plate. The governing equations of motion are obtained using energy method and Hamilton’s principle, and solved by differential quadrature method (DQM). There is a good agreement between the obtained results and the other results. The influences of the material length scale, elastic foundation parameters and temperature and moisture changes for various boundary conditions on the natural frequency, critical buckling load and deflection of the micro composite plate reinforced by FG-SWCNT are presented. The obtained results show that critical buckling load and natural frequency for MSGT are more than that of for classic theory (CT) and modified coupled stress theory (MCST), and vice versa for the deflection. The material length scale parameters lead to increase the stiffness of system. Also the effect of moisture on microcomposite plate reinforced by SWCNT is similar to thermal effect; furthermore, with increasing of moisture change reduces the natural frequency and critical buckling load and increases the deflection of micro composite plate. Considering the environmental conditions and temperature results are closer to reality.