Toward a General Theory of Cutting: A Relationship Between the Incident Power Density and the Cut Speed

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Abstract
A relationship between the power density incident on a material and the resulting cut speed is developed in terms of the thermal properties of the material. The expression obtained is general and is shown to be in good agreement with experimental results. It is shown that the efficiency of energy utilization is influenced by the incident power density and the jet diameter. The theory indicates that to maximize cut speed and energy utilization the jet diameter should be as small as possible consistent with an attainable power density.

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