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A model for the process of oxygen cutting of a metal plate is proposed which takes into account heating by external and internal heat sources, heat release from the cutting zone and reducing the thickness of the cutting geometry. The model was implemented numerically. It is shown that the model can describe different cutting modes: surface cutting, severing, and cutting in the kinetic and diffusion regimes. From the calculations results, the temperature field was constructed and the effect of the parameters on the thickness of the workpiece and the shape of the cutting edge was studied. The results are qualitatively consistent with experimental data.

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