几何多极展开及其在一般形状半中性夹杂中的应用
Geometric multipole expansion and its application to semi-neutral inclusions of general shape
摘要：
本文利用Faber多项式，对二维导电或反平面弹性问题提出了几何多极展开的新概念。作为一个应用，我们构造了一般形状的半中性包含体，这些包含体对于低阶多项式载荷表现出相对可忽略的场扰动。这些夹杂物是多层结构的材料参数确定，使一些几何多极展开系数消失。
英文摘要：
This paper presents a new concept of geometric multipole expansion for the conductivity or anti-plane elasticity problem in two dimensions by using the Faber polynomials. As an application, we construct semi-neutral inclusions of general shape that show relatively negligible field perturbations for low-order polynomial loadings. These inclusions are of the multilayer structure whose material parameters are determined such that some coefficients of geometric multipole expansion vanish.
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