论文标题
平面弹性静力问题的显式分析解决方案，刚性包含任意形状的刚性包括任意远场载荷
Explicit analytic solution for the plane elastostatic problem with a rigid inclusion of arbitrary shape subject to arbitrary far-field loadings
论文作者
论文摘要
我们为二维无限的各向同性体中的弹性场提供了一个分析解决方案，具有刚性包含。我们的分析基于弹性静态问题和几何函数理论的边界积分公式。具体而言，我们使用包含包含的外部共形映射提供的坐标系来定义在包含边界上的密度基础函数，并且我们使用与包含相关的Faber多项式在包含中的基础。后者构成了我们方法的主要新颖性，它使我们能够为平面弹性静态问题获得一个明确的串联解决方案，以根据给定的任意远场负载来包含任意形状。
We provide an analytical solution for the elastic fields in a two-dimensional unbounded isotropic body with a rigid inclusion. Our analysis is based on the boundary integral formulation of the elastostatic problem and geometric function theory. Specifically, we use the coordinate system provided by the exterior conformal mapping of the inclusion to define a density basis functions on the boundary of the inclusion, and we use the Faber polynomials associated with the inclusion for a basis inside the inclusion. The latter, which constitutes the main novelty of our approach, allows us to obtain an explicit series solution for the plane elastostatic problem for an inclusion of arbitrary shape in terms of the given arbitrary far-field loading.
