Higher-order buckling analysis of FG porous cylindrical micro-shells integrated with GPLs-RC patches in hygrothermal environment immersed on Kerr foundation

This study investigates the buckling behavior of functionally graded (FG) porous micro-shell covered with nanocomposite facesheets; graphene nanoplatelets (GPLs) are hired to reinforce and strengthen the faces. This micro-shell is under a hygrothermal environment and rested on Kerr foundations which consist of two rows of springs and one shear layer. Due to considering the size effect for this microstructure, modified couple stress theory is implemented in the strain energy. Reddy's theory in the Cartesian coordinate system is applied to analyze shear stress distribution through z-direction. In the end, the Navier's solution method is employed to solve equations analytically for simply supported edges. Moreover, the validity of the outcomes is confirmed by comparing them with a previous published study. After validation, the key findings of the research are examined; it highlights the influences of GPLs of facesheets and porous distribution on the stiffness of the structure, and the impact of Kerr foundation on the result is the most significant outcomes. The main implications show that the symmetric porosity distribution and FG V-A GPLs distribution make this engineering structure become stiffer which consequently leads to an increase in critical buckling load.