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<p>A&#xa0;two-dimensional physicomathematical model is proposed for determining the intensity of stresses in an electrically conducting plate during its induction heating by a&#xa0;quasi-steady electromagnetic field. A&#xa0;two-dimensional thermomechanical problem is formulated for an electrically conducting plate of rectangular cross-section. The component of the magnetic field vector tangent to the plate bases, the temperature, and the stress tensor components are the determining functions. A&#xa0;method for solving the formulated thermomechanical problem is proposed, which uses the approximation of the determining functions by cubic polynomials in the thickness variable. The change in the intensity of stresses over time, as well as their distribution over the cross-section of the aluminum plate, depending on the parameters of induction heating and the Biot criterion, is analyzed numerically.</p>

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Thermodeformed state of the aluminum plate during induction heat treatment

  • 期刊论文

  • 发表日期：

    2025年5月1日

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  • R. S. Musii,
  • M. I. Klapchuk

摘要

A two-dimensional physicomathematical model is proposed for determining the intensity of stresses in an electrically conducting plate during its induction heating by a quasi-steady electromagnetic field. A two-dimensional thermomechanical problem is formulated for an electrically conducting plate of rectangular cross-section. The component of the magnetic field vector tangent to the plate bases, the temperature, and the stress tensor components are the determining functions. A method for solving the formulated thermomechanical problem is proposed, which uses the approximation of the determining functions by cubic polynomials in the thickness variable. The change in the intensity of stresses over time, as well as their distribution over the cross-section of the aluminum plate, depending on the parameters of induction heating and the Biot criterion, is analyzed numerically.