Bézier extraction based isogeometric analysis for bending and free vibration behavior of multilayered functionally graded composite cylindrical panels reinforced with graphene platelets

Abstract

This study attempts to explore the bending and free vibration response of GPL (graphene platelet) reinforced composite cylindrical panels by using Bézier extraction based IGA (isogeometric analysis) in combination with first-order shear deformation shell theory. The cylindrical panel is composed of a finite number of layers in which the GPL concentration has stepped variation across the thickness to construct layerwise FG (functionally graded) structure. The dispersion patterns of GPLs have three FG forms such as FG-O, FG-X and FG-A distributions. Uniform arrangement of GPLs is also considered for comparison. The effective elastic modulus of the nanocompoiste cylindrical panel is determined from the Halpin-Tsai model, whilst the mass density and Poisson's ratio are estimated by the modified rule of mixture. The governing equations for the static and dynamic problems are derived, and Bézier extraction based isogeometric formulation is made to get the central deflections and natural frequencies of the multilayered FG GPL strengthened cylindrical panels. The validity of the present isogeometric approach incorporated with first-order shear deformation shell theory is first evidenced, followed by the illustrative parametric studies to further investigate the static and dynamic behavior of the nanocomposite cylindrical panels with various reinforcement schemes.