Lamb waves in functionally graded magnetoelectric microplates with different boundary conditions

Based on the modified couple stress theory, Legendre orthogonal polynomial method is used to solve the propagation characteristics of the Lamb wave in functionally graded magnetoelectric microplates. The correctness of the method is verified by comparisons with the previous literature and the global matrix method. Compared to the global matrix method, the Legendre orthogonal polynomial method provides an efficient numerical method for solving functionally graded magnetoelectric structures without layering and iterative root finding. In this paper, the influences of the couple stress, magnetoelectric coupling and inhomogeneity with different boundary conditions are discussed in detail. It is found that the couple stress effect and magnetoelectric effect are mutually inhibited. This mutual inhibition under the magnetoelectric short circuit boundary condition is stronger than that under the magnetoelectric open circuit boundary condition. The change of the magnetoelectric boundary has significant influence on the piezoelectric material side, but has little influence on the piezomagnetic material side.