This paper is concerned to study quasi-static boundary value problems of coupled linear theory of elasticity for porous circle and for plane with a circular hole. The Dirichlet type boundary value problem for a circle and the Neumann boundary value problem for a plane with a circular hole are solved explicitly. All the formulas are presented in explicit ready-to-use form. The solutions are represented by means of absolutely and uniformly convergent series.

中文翻译：

---

多孔弹性耦合理论中准静态问题的显式解

本文主要研究多孔圆和带圆孔平面的耦合线性弹性理论准静态边值问题。明确求解了圆的 Dirichlet 型边值问题和带有圆孔的平面的 Neumann 边值问题。所有公式都以明确的即用形式呈现。解用绝对一致收敛的级数表示。