On the statics and dynamics of an electro-thermo-mechanically porous GPLRC nanoshell conveying fluid flow

Abstract

Due to wide-ranging applications of piezoelectric nanostructures as the next generation of smart devices, this article analyzes size-dependent buckling and free vibration performance of fluid-conveying functionally graded-graphene nanoplatelets reinforced composite (FG-GPLRC) porous cylindrical nanoshell embedded in piezoelectric layer and subjected to the temperature gradient and a uniform electrical field based on modified couple stress theory incorporated into first-order shear deformation theory. Classical continuum theories are unable to capture the size effects on small-scale structures; thus, it is required to employ a nonclassical theory. To accomplish this purpose, modified couple stress theory is utilized to present a size-dependent shell model in which its displacement field is formulated by first-order shear deformation theory. The mechanical properties of the GPLRC layer are estimated based on modified Halpin-Tsai micromechanics and the rule of mixtures. Hamilton’s principle is employed to develop governing equations of motion and boundary conditions. Eventually, an analytical solution is prepared based on the Navier method to obtain critical voltage, critical buckling load, and natural frequency in the case of simply supported nanoshell, whereas, for other boundary conditions, the differential quadrature method is employed to solve the problem semi-analytically. The numerical illustration reveals that graphene reinforcement and porosity affect free vibration and buckling behavior of the nanoshell significantly. Moreover, it is concluded that the effect of fluid flow on vibration behavior nanoshell is more noticeable.