Three-dimensional Green's functions in anisotropic magneto-electro-elastic bimaterials
Three-dimensional Green's functions in anisotropic magneto-electro-elastic bimaterials
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DOI：
10.1007/s00033-002-8184-1
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发表时间：
2002-09
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影响因子：
--
通讯作者：
E. Pan
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文献类型：
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作者：
E. Pan
在本文中，我们基于扩展的斯特罗形式推导了各向异性磁电弹性全空间、半空间和双材料中的三维格林函数。在全空间中，格林函数以显式形式获得，而在半空间和双材料中，格林函数表示为全空间格林函数和Mindlin型互补部分的和，后者用正则线积分来评估。尽管涉及复杂性，当前的格林函数表达式却出奇地简单。此外，压电、压磁和纯弹性格林函数都可以通过简单地将适当的材料系数设置为零而从当前格林函数获得。还确定了扩展的斯特罗形式主义不能直接应用的特殊材料情况。¶给出了全空间、半空间和具有完全耦合和非耦合各向异性磁电弹性材料特性的双材料中的格林函数的简单数值例子。对于给定的材料特性和固定源和场点，磁电弹性耦合对 讨论了格林函数。特别是，我们观察到磁电弹性耦合可以显着改变某些格林位移和应力分量的大小，注意到差异高达 45%。这个结果是显着的，应该对材料分析和设计产生很大的兴趣。
In this paper, we derive three-dimensional Green's functions in anisotropic magneto-electro-elastic full space, half space, and bimaterials based on the extended Stroh formalism. While in the full space, the Green's functions are obtained in an explicit form, those in the half space and bimaterials are expressed as a sum of the full-space Green's function and a Mindlin- type complementary part, with the latter being evaluated in terms of a regular line integral over. Despite the complexity involved, the current Green's function expressions are surprisingly simple. Furthermore, the piezoelectric, piezomagnetic, and purely elastic Green's functions can all be obtained from the current Green's functions by setting simply the appropriate material coefficients to zero. A special material case, to which the extended Stroh formalism cannot be applied directly, has also been identified.¶Simple numerical examples are presented for Green's functions in full space, half space, and bimaterials with fully coupled and uncoupled anisotropic magneto-electro-elastic material properties.For given material properties and fixed source and field points, the effect of magneto-electro-elastic coupling on the Green's function is discussed. In particular, we observed that magneto-electro-elastic coupling could significantly alter the magnitude of certain Green's displacement and stress components, with difference as high as 45% being noticed. This result is remarkable and should be of great interest in the material analysis and design.