Analytical investigation on the nonlinear postbuckling of functionally graded porous cylindrical shells reinforced with graphene nanoplatelets

The objective of this study is an analytical investigation on the nonlinear postbuckling of functionally graded porous cylindrical shells reinforced with graphene nanoplatelets (GNPs). It is assumed that the GNP and porous distribution patterns vary smoothly through the thickness. Three distribution schemes are considered for GNP and porous media distributions. The effective material properties are calculated via a micromechanical method. By considering the geometric nonlinearity, the energy functional of the considered system under the combined axial and radial compressions is obtained based on the classical sell theory. Then, an analytical solution procedure based on the Ritz method and Airy function is used to obtain the nonlinear postbuckling behavior of considered system with simply supported boundary conditions. Finally, the effect of different parameters such as porous distribution, GNP scheme, porosity coefficient, GNP weight fraction and geometry on the nonlinear buckling loads, and postbuckling behavior is studied.

Automated summary

This study investigates the nonlinear postbuckling behavior of functionally graded porous cylindrical shells reinforced with graphene nanoplatelets (GNPs). It considers the smooth variation of GNP and porous distribution patterns through the thickness, and calculates effective material properties using a micromechanical method. The study utilizes the Ritz method and Airy function to analyze the nonlinear postbuckling behavior under axial and radial compressions, and examines the effects of various parameters on buckling loads and postbuckling behavior.