摘要

The low velocity impact analysis of functionally graded carbon nanotubes reinforced composite (FG-CNTRC) spherical shells including the contact force and indentation of the shell surface center was presented. The material properties were set according to the rule of mixture. The fibers and polymeric matrix were temperature-dependent. Timoshenko-Midlin assumption was used to establish the dimensionless nonlinear governing equations of the axis-symmetric transverse isotropy spherical shells. The Hertz contact theory was established to obtain the force and displacement between the spherical shell and impactor. Seven species of comparison analyses including grading profiles and volume fraction were mentioned to investigate the influence on the low velocity impact response of the FG-CNTRC spherical shells. The results revealed that the contact force was determined by the material properties of both contact surface and noncontact surface collectively. Furthermore, the increase of volume fraction can result in the larger contact force and shorter contact time.