Analytical investigation on the nonlinear postbuckling of functionally graded porous cylindrical shells reinforced with graphene nanoplatelets
Department of Mechanical Engineering, Lahijan Branch, Islamic Azad University, P.O. Box 1616, Lahijan, Iran
2 Faculty of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht, Iran
Accepted: 9 December 2020
Published online: 7 January 2021
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021