Time-dependent behavior of layered magneto-electro-elastic cylindrical shell with viscoelastic interlayer

In this work, an analytical solution for layered magneto-electro-elastic (MEE) cylindrical shell adhesively bonded by viscoelastic interlayer is developed to predict its time-dependent mechanical, electric and magnetic behaviors. The viscoelastic characteristic of the interlayer is modelled by the standard linear solid model. Each MEE layer is governed by the equations of magneto-electro-elasticity. The imperfect electric conditions between adjacent MEE layers are also considered. Using the Pseudo-Stroh formalism, a general solution with unknown coefficients is derived for each MEE layer. The Laplace transformation is applied to the constitutive equations of the viscoelastic interlayer. The coefficients are determined by the surface conditions as well as the interface conditions. The present solution can be used as the benchmark to assess results from numerical approaches. It is shown that the finite element solution converges to the present one as the mesh density increases; however, the finite element method is time-consuming in mesh division and calculation. Finally, the effects of time, shell angle, interlayer thickness and imperfect electric coefficient on the mechanical, electric and magnetic behaviors are investigated.