Analytical solutions for the magnetoelectric effect of multilayered magneto-electro-elastic media

作者：Wang Jianguo^*; Li Xuefeng

来源：Smart Materials and Structures, 2008, 17(4): 045028.

DOI：10.1088/0964-1726/17/4/045028

The state vector equations of space axisymmetric problems for transversely isotropic magneto-electro-elastic media are established in terms of the governing equations of the problem. The method is based on the mixed formulation of the stresses, displacements, electric displacements and magnetic induction on the surface. Using the Hankel integral transform and the theory of ordinary differential equations, the state vector solutions for a single-layer magneto-electro-elastic media are presented in the Hankel transform space. Boussinesq's solution for the magneto-electro-elastic half-space problem is obtained in the Hankel integral form. A general analytical formulation for the transversely isotropic, multilayered magneto-electro-elastic axisymmetric problems is presented by using the transfer matrix method. Numerical results are given. We have observed that the stacking sequences have a clear influence on most physical quantities. These features should be of special interest in the design of magneto-electro-elastic composite structures.

• 出版日期2008-8
• 单位合肥工业大学