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KIAM Preprint № 54, Moscow, 2023
Authors: Rodin A.S.
The family of mathematical models to describe the metal conductors motion in an electromagnetic field
The modeling of metal conductors acceleration in an electromagnetic field in a two-dimensional approximation is executed. A family of mathematical models for describing the motion of a body is presented: a model of a thermoelastoplastic body (for the case of large deformations), a model of a viscous compressible liquid and a mixed model that includes two previous models for different phase states of matter. A mathematical model of electromagnetic processes is presented, which allows to ensure the flow of total currents along the cross-sections of conductors. Numerical algorithms based on the finite element method are presented. The described models are used to solve the problem of accelerating the aluminum cylindrical shell to a speed of about 8 km/s. The results obtained for different models were compared with each other, as well as with known calculated and experimental results published in the literature.
thermomechanics, large deformations, elastoplastic body, compressible viscous liquid, electromagnetic acceleration
Publication language: russian,  pages: 32
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Rodin Alexandr Sergeevich, RAS