On the modeling of bending responses of graphene-reinforced higher order annular plate via two-dimensional continuum mechanics approach

This research presents bending responses of FG-GPLRC plates based upon higher order shear deformation theory (HSDT) for various sets of boundary conditions. The rule of the mixture and modified Halpin-Tsai model are engaged to provide the effective material constant of the composite layers. By employing Hamilton's principle, the governing equations of the structure are derived and solved with the aid of the differential quadrature method (DQM). Afterward, a parametric study is done to present the effects of three kinds of FG patterns, weight fraction of the GPLs, radius ratio, and thickness to inner radius ratio on the bending characteristics of the FG-GPLRC disk. Numerical results reveal that in the initial value of the Zt/h, using more GPLs for reinforcing the structure provides an increase in the normal stresses but this matter is inverse for the higher value of the Zt/h. The results show that considering the smaller radius ratio is a reason for boosting the shear stresses of the structure for each Zt/h. Another consequence is that for the negative value of Zt/h, it is true that by increasing h/R-i, the normal stresses increases but if there is positive value for Zt/h, the radial and circumferential stresses fall down by having an increase in the h/R-i.

Automated summary

This research investigates the bending responses of FG-GPLRC plates and identifies the factors that influence the bending characteristics. It is found that the number of GPLs used for reinforcement and the radius ratio have significant effects on the normal and shear stresses of the structure.