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Green’s functions for an anisotropic elastic parabolic inhomogeneity under generalised plane strain deformations
The Quarterly Journal of Mechanics and Applied Mathematics ( IF 0.9 ) Pub Date : 2021-07-20 , DOI: 10.1093/qjmam/hbab008
X Wang 1 , P Schiavone 2
Affiliation  

Summary On the basis of the Stroh sextic formalism, we propose a novel method to derive Green’s functions for a two-phase composite composed of an anisotropic elastic parabolic inhomogeneity perfectly bonded to an anisotropic elastic matrix. The composite is subjected to a line force and a line dislocation, which can be located anywhere inside or outside the inhomogeneity or on the parabolic interface itself. Explicit expressions describing the analytic vector function defined in the parabolic inhomogeneity are derived for each of the three aforementioned cases associated with the location of the line force and line dislocation. When the line dislocation is located inside the parabolic inhomogeneity, the image force acting on the line dislocation is expediently derived using the Peach–Koehler formula.

中文翻译:

广义平面应变变形下各向异性弹性抛物线不均匀性的格林函数

总结 在 Stroh 六分法的基础上,我们提出了一种新的方法来推导由各向异性弹性抛物线不均匀性完美结合到各向异性弹性矩阵的两相复合材料的格林函数。复合材料受到线力和线位错的影响,其可以位于不均匀性内部或外部的任何位置,也可以位于抛物线界面本身上。对于与线力和线位错的位置相关的上述三种情况中的每一种,都导出了描述抛物线不均匀性中定义的解析向量函数的显式表达式。当线位错位于抛物线不均匀性内时,作用于线位错的镜像力可以方便地使用 Peach-Koehler 公式导出。
更新日期:2021-07-20
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