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压电晶体半空间弹性波场的表面激发的分析(Ⅱ)——广义Green函数

ANALYSIS OF SURFACE EXCITATION OF ELASTIC WAVE FIELD IN A HALF SPACE OF PIEZOELECTRIC CRYSTAL (II)——GENERALIZED GREEN’S FUNCTION

  • 摘要: 由于相应于压电晶体半空间弹性波场表面激发的广义Green函数是与激发伏况无关而仅取决于材料参数和取向,所以它们能够预先独立地给予研究。
    可以证明广义Green函数可以写成分别对应表面波、体波和静电效应三部分之和。
    我们也证明广义Green函数的表面波部分和远场体波部分可以有解析表达式。于是被激发的弹性波场中表面波场和体波远场可以严格估计。
    最后作为例子,我们给出了6mm类晶体的广义Green函数。

     

    Abstract: Since the generalized Green's functions, which correspond to surface excitation of elastic wave field in a half space of piezoelectric crystal, are independent of excitation conditions and only dependent on material parameters and orientation, they can be investigated in advance and independently.
    It is shown that generalized Green's functions can be written as a sum of three parts representing respectively a surface wave, a bulk wave and an electrostatic effect.
    We also confirm that, the surface wave part and the bulk wave part at the far field of generalized Green's function can be expressed by analytical expressions, and thus, the surface, wave field and the far field of bulk wave among the excited elastic wave field can be evaluated exactly.
    Finally, as an example, the generalized Green's functions for the 6 mm crystal are given.

     

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