title: ÐÐ¿Ð¸ÑÐ°Ð½Ð¸Ðµ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÑ ÑÑÑÐµÐºÑÐ¾Ð² Ñ Ð¿Ð¾Ð·Ð¸ÑÐ¸Ð¸ ÑÑÐµÐ´Ñ ÐÐ¾ÑÑÐµÑÐ°
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Description of electromagnetic effects from the perspective of the Cosserat medium
Creators: name: ÐÐ°ÑÐºÐ¾Ð²ÑÐºÐ¸Ð¹, ÐÐ¼Ð¸ÑÑÐ¸Ð¹
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2024
Subjects: ÑÑÐµÐ´Ð° ÐÐ¾ÑÑÐµÑÐ°
Ð¼ÐµÑ Ð°Ð½Ð¸ÐºÐ° ÑÐ¿Ð»Ð¾ÑÐ½Ð¾Ð¹ ÑÑÐµÐ´Ñ
Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²ÐµÐ½Ð½Ð¾Ðµ Ð¾Ð¿Ð¸ÑÐ°Ð½Ð¸Ðµ
ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½ÐµÑÐ¸Ð·Ð¼
Ð¡osserat media
continuum mechanics
spatial description
electromagnetism

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description: The paper proposes a model of the electromagnetic field based on the Ð¡osserat continuum of a special kind. Based on the considered set of hypotheses, a reduced system of equations of a continuous medium with rotational degrees of freedom is constructed, including: the balance of kinetic momentum, the relation linking the rotor of angular velocity and deformation measures, the equation of deformation coexistence for rotational degrees of freedom, and the determining relation for the associated vector of the moment stress tensor. The considered model of the Ð¡osserat medium of a special kind is equivalent to the extended system of Maxwells equations in terms of the structure of differential equations. In contrast to the classical equations of electromagnetism, additional source terms are obtained in the differential equations by this approach. Gausss law for the magnetic field is defined in the form of a tensor equation for the magnetic charge vector and the electromagnetic induction tensor, which makes it possible to take into account the influence of permanent magnets in the medium in an explicit form. To solve the problem of magnetostatics for a coil with a core, a modified system of Maxwells equations is applied. The analytical solution for the electro-\\magnetic induction tensor using Helmholtz tensor decomposition is constructed, and the analytical solution of the modified system of Maxwells equations for magnetic induction is obtained. The effect of field enhancement when a core is added to the coil is qualitatively described.