Hygrothermal deformation of spinning FG graphene sandwich cylindrical shells having an auxetic core

Abstract

A new investigation on hygrothermal stress analysis of rotating functionally graded (FG) graphene/metal sandwich cylindrical shell having an auxetic honeycomb core is presented in this article. It is assumed that the simply-supported sandwich shell is spinning about its axial axis with a constant angular speed. The sandwich faces are composed of concentric multi-shells with uniformly distributed GPLs through the thickness of each shell. The material properties of the face layers are varied based on a layer-wise law. The one-dimensional heat conduction and moisture diffusion equations are used to obtain the applied temperature and moisture, respectively. The first-order shear deformation theory are employed to describe the displacement field. The minimum potential energy principle, which contains the initial hoop tension and the centrifugal effect due to the spinning motion of the cylindrical shell, is used to establish the governing equations. The stresses and displacements of the composite cylindrical shells are obtained from the analytical solution of the governing equations. Parametric examples are presented with focusing attention on the effects of the GPLs weight fraction, spinning speed of the cylindrical shell, core-to-face thickness ratio, length-to-radius ratio, radius-to-thickness ratio, temperature and moisture on the bending response of spinning nanocomposite cylindrical shells with an auxetic core.