Equations of three-continuum mechanics of conductors

1Khoroshun, LP
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2019, 12:41-48
Section: Mechanics
Language: Russian

The construction of equations of the three-continuum mechanics of the processes occurring in conductors is described. It is based on a metal conductor circuit in the form of a set of inter acting neutral atoms, each of which consists of a positively charged nucleus, a part of electrons connected with it, and a free part of electrons having a negative charge. A macroscopic model of a conductor is represented in the form of three interpenetrating interacting continua — a po sitively charged set of nuclei, a negatively charged set of electrons connected with nuclei, and a negatively charged set of free electrons (electron gas). The carrier densities of the corresponding charges are introduced, as well as the corresponding partial displacements and partial stresses. The equations of ba lance of the densities of carriers of the corresponding charges, equations of conservation of momentum, and equations of state connecting dynamic and kinematic parameters are formulated.

Keywords: bound char ges, electron gas, free charges, interacting continua, interpenetrating continua, three-continuum mechanics

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