Transient response of carbon nanotubes with inhomogeneous coating under radial impact loading and magnetic field

An analytical method is presented to solve magnetoelastic dynamic stress responses and perturbation of the magnetic field vector in carbon nanotubes with inhomogeneous costing subjected to radial internal pressure shock and axial magnetic field. By utilizing finite Hankle transforms and Laplace transforms, the analytical solution for magnetodynamic stress response and perturbation of an axial magnetic field vector in the carbon nanotubes with inhomogeneous coating are obtained. From example calculations both magnetodynamic stress and perturbation of the axial magnetic field vector in carbon nanotubes with inhomogeneous coating are described and discussed.