Electromagnetotransient stress and perturbation of magnetic field vector in transversely isotropic piezoelectric solid spheres

The article presents an analytical method for solving the problem of electromagnetoelastic transient response of transversely isotropic piezoelectric solid spheres in a uniform magnetic field. Exact expressions for the transient responses of stresses, perturbation of magnetic field vector and electric potentials in transversely isotropic piezoelectric solid spheres are obtained by means of Hankel transforms, Laplace transforms and their inverse transforms. Thus, an analytical solution for the problem of transient response of a transversely isotropic piezoelectric solid sphere in a uniform magnetic field is obtained. Finally, some numerical results are carried out, and may be used as a reference to solve other transient coupled problems of electromagnetoelasticity.