WIAS Preprint No. 591, (2000)

Thermo-mechanical problems in induction heating of steel


  • Pantelyat, Michael
  • Uhle, Manfred

2010 Mathematics Subject Classification

  • 58G11 83C50 73G25


  • induction heating, Maxwell's equations, heat transfer, mechanical deformations




We discuss a 3D model that is capable for describing mechanical deformations of steel through induction hardening processes. It consists of a reduced system of Maxwell's equations, the heat transfer equation and a system of equations describing the mechanical state of the steel workpiece. In a first step the model is applied to simulation of an axisymmetrical induction hardening device, which is a wide-spread industrial equipment. We present numerical results obtained for a steel tube hardening.

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