Modelling and Analysis of Multilayer Porous FG-GPRC Plates Using Zigzag Function and Cell-Based Smoothed-Discrete Shear Gap Method

An efficient computational approach is presented to analyze the structural responses of multilayer porous plates, incorporating the reinforcement of functionally graded graphene platelets (GPLs). The approach seamlessly integrates the Murakami function zigzag (MZZ) theory with a formulation based on the discrete shear gap technique and the cell-based smoothed finite element method (CS-DSG3). This study investigates the characteristics of porous nanocomposite plates, scrutinizing their responses under diverse conditions. It comprehensively analyzes static bending, free vibration, and dynamic responses of nanocomposite plates, taking into account variations in porosity distributions and GPL dispersion patterns across the thickness. The mechanical properties of the nanocomposites are scrutinized through micromechanical models. The prediction of Young’s modulus employs a modified Halpin–Tsai model, while Poisson’s ratio and density are calculated utilizing the rule of mixtures. Due to the precise nature and the demand for [Formula: see text]-continuity shape function, the Murakami zigzag theory is employed to enhance the computational efficiency of CS-DSG3 for the extensive evaluation of both conventional and functionally graded reinforced nanocomposite structures. Within the results section, the efficacy of the approach is demonstrated through comparisons with alternative numerical approaches. The analysis reveals accuracy and efficiency in predicting the responses of PFG-GPRC multilayer quadrilateral plates. These results offer valuable insights for optimizing practical engineering applications involving PFG-GPRC.