Influence of material uncertainty on higher-order FG-GPLs reinforced porous spherical panels under blast loading

Abstract

The present study investigates the influence of material uncertainty on the dynamic response of functionally graded graphene nanoplatelets (FG-GPLs) reinforced porous spherical panels under air blast loading. The uncertainty is included in various parameters such as Young’s moduli, mass density, Poisson’s ratios, porosity coefficient, and GPLs’ weight fraction. The microstructural gradation is accomplished by creating pores followed by symmetric, asymmetric, and uniform porosity distributions which lead to variation in the properties along the thickness direction. The metal matrix i.e., Aluminum is reinforced with graphene nano-platelets, and the effective Young’s modulus is estimated using the Halpin–Tsai model whereas the rule of the mixture is employed to determine effective mass density and Poisson’s ratio. A higher-order C0 — continuous structural kinematics is employed to find the dynamic response of the spherical panels. The Governing relations are developed using Euler–Lagrange’s equation and the finite element method in conjunction with the first-order perturbation technique and Newmark’s time integration scheme is applied to find the numerical results in terms of mean and standard deviation of center displacement. The influence of various parameter such as porosity coefficient, GPLs weight fraction, TNT-weight, stand-off stand, etc. are also presented in detail.