Thermodeformed state of aluminum plate during induction heat treatmen

A two-dimensional physical and mathematical model is proposed for determining the intensity of stresses in an electrically conductive plate during its induction heating by a quasi-steady electromagnetic field. A two-dimensional thermomechanical problem is formulated for an electrically conductive plate of rectangular cross-section. The component of the magnetic field vector tangent to the plate bases, the temperature, and the components of the stress tensor 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 numerically analyzed.