This study continues the line of earlier research in mechanical models of electrodynamic processes suggested in previous works. The basic steps we take to construct these models are: to formulate equations of a special type Cosserat continuum, and then to suggest analogies between quantities characterizing the stress–strain state of the continuum and quantities characterizing electrodynamic processes. In addition to the previously introduced mechanical analogies of the electric field vector and the magnetic induction vector, in this paper we provide mechanical analogies of the magnetic field vector, the electric induction vector, the electric current density and the electric charge density. In the framework of the suggested model, we obtain a set of differential equations that coincide with the first Maxwell's equation (the one with the displacement current term), the Gauss law for electric field and the charge conservation law. As a debatable question, we discuss the possibility of modifying the Maxwell–Faraday equation and the Gauss law for magnetic field.

中文翻译：

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通过机械类比对电动过程建模

这项研究延续了先前工作中提出的电动过程力学模型的早期研究路线。我们构建这些模型的基本步骤是：拟定特殊类型的Cosserat连续体的方程，然后提出表征连续体应力-应变状态的量与表征电动力过程的量之间的类比。除了先前介绍的电场矢量和磁感应矢量的机械类比外，本文还提供了磁场矢量，电感应矢量，电流密度和电荷密度的机械类比。在建议模型的框架中，我们获得了一组与第一个麦克斯韦'重合的微分方程 s方程（带有位移电流项的方程），电场的高斯定律和电荷守恒律。作为有争议的问题，我们讨论了修改麦克斯韦-法拉第方程和磁场的高斯定律的可能性。