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首页> 外文期刊>Philosophical Magazine Letters >Dynamic stress around two holes buried in a functionally gradedpiezoelectric material layer under electro-elastic waves
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Dynamic stress around two holes buried in a functionally gradedpiezoelectric material layer under electro-elastic waves

机译：电弹性波作用下埋入功能梯度双压电材料层中两个孔周围的动应力

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摘要

A theoretical method is presented to study the multiple scattering of electro-elastic waves resulting from two subsurface holes in a function-ally graded piezoelectric material (FGPM) layer bonded to a homogeneous piezoelectric material, and the dynamic stress around the holes is also presented. The analytical solutions of wave fields are expressed by employing wave function expansion method, and the expanded mode coefficients are determined by satisfying the boundary conditions at the surface and around the holes. The mechanical and electrical boundary conditions at the free surface of the structure are satisfied by using the image method. Analyses show that the piezoelectric property and the distance between the two holes express great effect on the dynamic stress around the holes, and the effect increases with the decrease of the thickness of FGPM layer. If the material properties of the homogeneous piezoelectric material are greater than those at the surface of the structure, the dynamic stress increases dramatically due to the piezoelectric property and the distance between the two holes. The angular distribution of electric displacement under different parameters is also presented. The accuracy and efficiency of the solving method are demonstrated by the comparison of selected results with the solutions obtained by using finite element software ANSYS.
机译：提出了一种理论方法来研究由功能性梯度压电材料（FGPM）层中的两个地下孔引起的电弹性波的多重散射，该功能层与均质压电材料结合在一起，并且还给出了孔周围的动态应力。利用波函数展开法表达了波场的解析解，并通过满足表面和孔周围的边界条件确定了展开模系数。使用图像方法可以满足结构自由表面的机械和电气边界条件。分析表明，压电性能和两个孔之间的距离对孔周围的动应力表现出很大的影响，并且随着FGPM层厚度的减小，其影响增大。如果均质压电材料的材料特性大于结构表面的材料特性，则由于压电特性和两个孔之间的距离，动态应力会急剧增加。还给出了不同参数下电位移的角度分布。通过将所选结果与使用有限元软件ANSYS获得的解决方案进行比较，证明了该求解方法的准确性和效率。

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