WIAS Preprint No. 2670, (2019)

Modelling and simulation of flame cutting for steel plates with solid phases and melting


  • Arenas Jaén, Manuel J.
  • Hömberg, Dietmar
  • Lasarzik, Robert
  • Mikkonen, Pertti
  • Petzold, Thomas

2010 Mathematics Subject Classification

  • 35F60 65N30 80A22


  • Flame cutting, finite element method, heat equation, phase transitions, transport equation




The goal of this work is to describe in detail a quasi-stationary state model which can be used to deeply understand the distribution of the heat in a steel plate and the changes in the solid phases of the steel and into liquid phase during the flame cutting process. We use a 3D-model similar to previous works from Thiebaud [1] and expand it to consider phases changes, in particular, austenite formation and melting of material. Experimental data is used to validate the model and study its capabilities. Parameters defining the shape of the volumetric heat source and the power density are calibrated to achieve good agreement with temperature measurements. Similarities and differences with other models from literature are discussed.

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