In the present paper, we consider an elastic circle and a plane with circular hole with voids and microtemperatures. Representations of a general solution of a system of equations for a homogeneous isotropic thermoelastic medium with voids and microtemperatures are constructed by means of the elementary (harmonic, bi‐harmonic and meta‐harmonic) functions. The Dirichlet type boundary value problems for a circle and for a plane with circular hole are solved explicitly. The obtained solutions are represented in the form of absolutely and uniformly convergent series.

中文翻译：

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具有空隙和微观温度的弹性圆的热弹性理论的BVP的显式解。

在本文中，我们考虑了一个弹性圆和一个带有圆孔的平面，该圆孔具有空隙和微观温度。利用基本（谐波，双谐波和亚谐波）函数构造了具有空隙和微温度的均质各向同性热弹性介质方程组的一般解。明确解决了圆和带有圆孔的平面的Dirichlet型边值问题。所获得的解以绝对一致收敛级数的形式表示。