Bulk Waves in the Infinite Electric-Magnetic-Elastic Plate with Mixed Boundary Conditions

• 作者: Genquan Xie Xingpeng Song Xiaodong Xiao
• 来源期刊: 电磁分析与应用期刊(英文)
• 学科: 数学
• 关键词: Bulk Wave Electric-Magneto-Elastic Plate Dilatation Wave Shear Wave Dispersion Properties Phase Velocity Surface
• 年，卷（期）: 2021,（2）
• 页码范围: 21-39
• 页数: 19页
• 分类号: O17

摘要

A dynamic solution is presented for the propagation of waves in an electric-magneto-elastic plate composed of piezoelectric, piezomagnetic materials and elastic matrix. The electric-magneto-elastic plate is polarized along the thickness direction. The generalized displacements are expressed as the sum of the gradient of a scalar (dilatation wave) and the curl of a vector (shear wave). With the help of dynamic equilibrium equations and geometric equations, we can obtain dynamic equations of the dilatation wave and the shear wave. The conclusion that the types of the dilatation waves and the shear waves remain unchanged after being reflected by the boundary can be obtained through the analysis of these kinetic equations. The dispersion properties and phase velocity surface of the dilatation and shear wave can be obtained by solutions of dynamic equilibrium equations. Influences of the piezoelectric and piezomagnetic parameters on wave characteristics are discussed.