A comprehensive computational approach for nonlinear thermal instability of the electrically FG-GPLRC disk based on GDQ method

This is a fundamental study on the buckling temperature and post-buckling analysis of functionally graded graphene nanoplatelet-reinforced composite (FG-GPLRC) disk covered with a piezoelectric actuator and surrounded by the nonlinear elastic foundation. The matrix material is reinforced with graphene nanoplatelets (GPLs) at the nanoscale. The displacement-strain of thermal post-buckling of the FG-GPLRC disk via third-order shear deformation theory and using Von Karman nonlinear plate theory is obtained. The equations of the model are derived from Hamilton's principle and solved by the generalized differential quadrature method. The direct iterative approach is presented for solving the set of equations that includes highly nonlinear parameters. Finally, the results show that the radius ratio of outer to the inner (R-o/R-i), the geometrical parameter of GPLs, nonlinear elastic foundation, externally applied voltage, and piezoelectric thickness play an essential impact on the thermal post-buckling response of the piezoelectrically FG-GPLRC disk surrounded by the nonlinear elastic foundation. Another important consequence is that, when the effect of the elastic foundation is considered, there is a sinusoidal effect from theR(o)/R(i)parameter on the thermal post-buckling of the disk and this matter is true for both boundary conditions.

Automated summary

This study focuses on the buckling temperature and post-buckling analysis of a functionally graded graphene nanoplatelet-reinforced composite (FG-GPLRC) disk surrounded by a nonlinear elastic foundation and covered with a piezoelectric actuator. The results demonstrate the significant impact of various factors such as radius ratio, GPLs parameters, elastic foundation, applied voltage, and piezoelectric thickness on the thermal post-buckling response of the FG-GPLRC disk. Additionally, the presence of the elastic foundation appears to induce a sinusoidal effect on the post-buckling behavior of the disk.