Mathematical Modeling and Numerical Study of Magnetoelastic Effects in Thin Current-Carrying Plates
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Abstract
The paper considers the problem of deformation of a thin conductive plate under the action of a non-stationary magnetic field taking into account the Lorentz forces and Joule heat generation. A mathematical model is constructed based on a system of coupled equations of electrodynamics and elasticity theory taking into account geometric nonlinearity. For the numerical solution of the problem, the Newmark scheme is used, which ensures stable integration over time. The modeling results are presented in the form of two-dimensional and three-dimensional graphs of the dependence of deformation on magnetic induction, time and current density. The stress-strain state is analyzed and the practical significance of the obtained results for microelectromechanical systems and sensor elements is discussed. Additionally, the effect of varying the parameters of electromagnetic action on the magnitude and nature of elastic deformations is studied. It is shown that Joule heating significantly changes the stress distribution pattern. The results of the work can be used to optimize the geometric and physical parameters of structures operating in conditions of intense electromagnetic fields.
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