We consider a linear theory of a viscoelastic Cosserat continuum of a special type. In doing so, we associate the main variables characterizing the stress–strain state of the continuum with quantities characterizing the electrodynamic and thermal processes. Taking into account the suggested analogues, we interpret equations describing the continuum as equations of thermodynamics and electrodynamics. We identify parameters of our model by comparing the obtained equations with Maxwell’s equations and the hyperbolic heat conduction equation. As a result, we arrive at two three-dimensional telegrapher’s equations: one for temperature and the other for the electric field vector. These equations are novel. They describe electromagnetic and thermal processes and also how they affect each other more accurately compared to the classical theory. In particular, these telegrapher’s equations account for not only the skin effect described in many literature sources on electrodynamics, but also the so-called static skin effects observed in a number of experiments. In contrast to classical electrodynamics, which contains two mutually orthogonal vectors: the electric field vector and the magnetic induction vector, the proposed theory contains three mutually orthogonal vectors: the electric field vector, the magnetic induction vector and the temperature gradient. It agrees with experimental facts discovered by Ettingshausen and Nernst (the Ettingshausen effect and the Nernst–Ettingshausen effect). If thermal component is ignored, the proposed theory reduces to the system of equations, which is a generalization of Maxwell’s equations. This system of equations is novel. It is a three-dimensional analogue of Kirchhoff’s laws for electric circuits, while Maxwell’s equations are not.

我们考虑一种特殊类型的粘弹性 Cosserat 连续体的线性理论。在这样做时，我们将表征连续体的应力-应变状态的主要变量与表征电动和热过程的量相关联。考虑到建议的类似物，我们将描述连续统的方程解释为热力学和电动力学方程。我们通过将获得的方程与麦克斯韦方程和双曲线热传导方程进行比较来确定模型的参数。结果，我们得出了两个三维电报方程：一个是温度，另一个是电场矢量。这些方程式很新颖。与经典理论相比，它们描述了电磁和热过程，以及它们如何更准确地相互影响。特别是，这些电报员的方程不仅解释了许多关于电动力学的文献资料中描述的趋肤效应，而且还解释了在许多实验中观察到的所谓的静态趋肤效应。与经典电动力学相反，它包含两个相互正交的矢量：电场矢量和磁感应矢量，所提出的理论包含三个相互正交的矢量：电场矢量、磁感应矢量和温度梯度。它与 Ettingshausen 和 Nernst 发现的实验事实（Ettingshausen 效应和 Nernst-Ettingshausen 效应）一致。如果忽略热分量，所提出的理论将简化为方程组，这是麦克斯韦方程组的推广。这个方程组是新颖的。它是基尔霍夫电路定律的三维模拟，而麦克斯韦方程则不是。