Development of a new theory of thermal cutting processes 1. basic principles

The cycle of papers that begins here—which is a continuation of the cycle published in 2008 (“Vestnik Mashinostroeniya”, nos. 1–12)—establishes the need for a new mathematical theory of thermal cutting processes, capable of adequately describing and explaining the experimental findings. The final papers in the cycle will outline such a theory and confirm its high accuracy. Consistent numbering of formulas and figures will be used throughout, as well as the notation employed in the previous cycle. In the first paper, the basic principles of the mathematical theory are presented.