Scholarlink

Abstract <p> The problem of mathematical modeling of the acceleration of metal conductors inan electromagnetic field in the two-dimensional approximation is solved. We present mathematicalmodels describing the motion of bodies in Lagrangian and Eulerian coordinates using theconstitutive relations of a thermoelastoplastic body (for the case of large deformations) anda viscous compressible fluid (gas). A mathematical model is given permitting one to describe thebody motion with regard to the simultaneous presence of different phases of matter in the body.The model explicitly identifies the solid-to-liquid transition phase, for which both constitutiverelations with appropriate weights are taken into account. Numerical algorithms based on thefinite element method are constructed. The model is used to solve the problem of accelerating analuminum cylindrical shell to a velocity of about 8 km/s. The calculation results are demonstrated,and individual characteristics are compared with known calculated and experimental results.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Mathematical Modeling of the Motion of Metal Conductors in an Electromagnetic Field with Regard to the Presence of Different Phases of the Matter Being Accelerated

  • 期刊论文

  • 发表日期：

    2025年7月1日

查看全文
  • M. P. Galanin,
  • A. S. Rodin

摘要

Abstract

The problem of mathematical modeling of the acceleration of metal conductors inan electromagnetic field in the two-dimensional approximation is solved. We present mathematicalmodels describing the motion of bodies in Lagrangian and Eulerian coordinates using theconstitutive relations of a thermoelastoplastic body (for the case of large deformations) anda viscous compressible fluid (gas). A mathematical model is given permitting one to describe thebody motion with regard to the simultaneous presence of different phases of matter in the body.The model explicitly identifies the solid-to-liquid transition phase, for which both constitutiverelations with appropriate weights are taken into account. Numerical algorithms based on thefinite element method are constructed. The model is used to solve the problem of accelerating analuminum cylindrical shell to a velocity of about 8 km/s. The calculation results are demonstrated,and individual characteristics are compared with known calculated and experimental results.