Analytical solution of low-velocity impact of graphene-reinforced composite functionally graded cylindrical shells

Abstract

In this paper, low-velocity impact behavior of graphene-reinforced composite functionally graded (GRC-FG) cylindrical shells in thermal environments ia investigated analytically. The effective temperature-dependent material properties of the GRC-FG cylindrical shells are evaluated based on the extended Halpin–Tsai micromechanical model. The contact process follows a linearized contact law which is used to obtain a linearized contact coefficient, and Fourier series expansion and Laplace transforms are utilized during the solving process. The analytical expression of transverse displacement of GRC-FG cylindrical shells is furnished. The motion equations of the GRC-FG cylindrical shells are established based on Reddy’s third-order shear deformation theory (HSDT). The numerical results illustrate the influences of graphene distribution, temperature variation, geometric parameters, impactor mass and different impactor velocities on the central deflection of the GRC-FG cylindrical shells as well as the contact force between the GRC-FG cylindrical shells and the impactor.