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 thirdorder 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.

Transient response of pre-twisted FG-GRC sandwich conical shell subjected to low-velocity impact in thermal environment

“…Fan et al 47 predicted the LVI characteristics of FG-GRC plates resting on visco-Pasternak foundations in a thermal field wherein the governing equations are formulated through HSDT, and their solutions are obtained employing Runge-Kutta method. Lei and Tong 48 developed an analytical procedure to carry out the transient analysis of temperature-dependent FG-GRC cylindrical shells under LVI loading using Reddy's HSDT and linearized contact law. The pioneering work to apply FEM in the dynamic analysis of composite laminates due to LVI was carried out by Sun and Chen.…”

Free vibration frequency of thick FGM spherical shells with simply homogeneous equation by using TSDT

“…There are some investigations with shear deformation effect and experimental studies in the shells. Lei and Tong [1] presented the low-velocity impact of graphene-reinforced composite functionally graded material (FGM) cylindrical shells by using the Reddy's third-order shear deformation theory (TSDT). Biswal and Mohanty [2] presented the free vibration of multilayer sandwich spherical shell panels including the elastic face layers and viscoelastic material core layers by using the first-order shear deformation theory (FSDT); some effects on the result of the natural frequencies are investigated, e.g., thickness of the core layers, viscoelastic material and aspect ratios.…”

Application of the hybrid DQ- Heaviside-NURBS method for dynamic analysis of FG-GPLRC cylindrical shells subjected to impulse load

“…The dynamic response of the carbon nanotube reinforced composite shells have been studied in recent years [14][15][16][17][18][19]. However, to the best of the authors' knowledge, there are still very limited research works on the static, thermoelastic and dynamic responses of the FG-GPLRC shells under different loads in the literature [20][21][22][23][24][25][26][27][28][29].…”

“…Dong et al [24] used the Navier analytical solution to study the low-velocity impact response of the FG-GPLs reinforced nanocomposite cylindrical shell subjected to impact, external axial and thermal loads. By applying the Fourier series expansion and Laplace transforms, Lei and Tong [25] investigated the low-velocity impact behavior of the GRC-FG cylindrical shells in thermal environments based on the Reddy's third-order shear deformation theory. Mirjavadi et al [26] simulated the forced vibration of the porous nanocomposite shells reinforced by GPLs under radial dynamic loads by applying semianalytical approach and the first shear deformation theory (FSDT) of shells.…”