Abstract
An analytical investigation was carried out to assess the free vibration, buckling and deformation responses of simply-supported sandwich plates. The plates constructed with graphene-reinforced polymer composite (GRPC) face sheets and are subjected to mechanical and thermal loadings while being simply-supported or resting on different types of elastic foundation. The temperature-dependent material properties of the face sheets are estimated by employing the modified Halpin-Tsai micromechanical model. The governing differential equations of the system are established based on the refined shear deformation plate theory and solved analytically using the Navier method. The validation of the formulation is carried out through comparisons of the calculated natural frequencies, thermal buckling capacities and maximum deflections of the sandwich plates with those evaluated by the available solutions in the literature. Numerical case studies are considered to examine the influences of the core to face sheet thickness ratio, temperature variation, Winkler- and Pasternak-types foundation, as well as the volume fraction of graphene on the response of the plates. It will be explicitly demonstrated that the vibration, stability and deflection responses of the sandwich plates become significantly affected by the aforementioned parameters.
Highlights
Among the different types of carbon nanomaterials, graphene and its derivatives have received considerable attention in many different fields due to their exceptional chemical and physical properties. Graphene varieties such as graphene oxide (GO), reduced-graphene oxide and graphene nanoplatelets (GNPs) are available as super lightweight nano-sized particles with large surface area and excellent thermo-electro-mechanical properties [1,2,3]. several studies have investigated the effect of carbon nanotube on mechanical and thermal properties of polymer composites [4,5], as well as the static, dynamic and stability analyses of structural components formed by such nanocomposites [6,7,8,9,10,11,12,13,14,15,16]
This paper investigated the influence of the addition of graphene on the vibration, stability and static responses of sandwich plates
It presented an analytical solution for analyzing the natural frequencies, buckling capacity and elastic deformation of plates under various mechanical and thermal loading scenarios
Summary
Among the different types of carbon nanomaterials, graphene and its derivatives have received considerable attention in many different fields due to their exceptional chemical and physical properties. Zhang et al [17] investigated the bending, buckling, and vibration responses of functionally graded GO-reinforced composite beams based on the first-order shear deformation theory (FSDT). The loaddeflection relationship was obtained using a two-step perturbation technique and the fourth-order Runge-Kutta numerical method In another notable study, Liu et al [29] used the three-dimensional theory of elasticity to investigate the static axisymmetric and asymmetric bending and free vibration of the multilayer annular plates reinforced with GNPs. A semi-analytical method, which combined the differential quadrature method and the state-space based differential quadrature method was incorporated in the analysis. The first objective is to investigate the effect of inclusion of graphene on the natural frequencies, critical buckling capacity and maximum deflection of sandwich plates formed with graphene-reinforced polymer composite (GRPC) face sheets subjected to various mechanical and thermal loads. Qijði; j 1⁄4 12;456Þ are the reduced material stiffness coefficients compatible with the plane-stress conditions and are defined as follows [33]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
