Mathematical Modeling of The Machining Process of White Cast Iron

This paper presents a mathematical model in the form of complex differential equations describing the mechanical cutting of white cast irons. Heat conduction PDE, similarity criteria theory (Peclet, F, D), and mechanical cutting theory were applied. A system of six interrelated equations was developed covering geometry, temperature, forces, plasticity, wear, and heat balance. Conclusion: The model enables justification of tool material requirements for machining white cast irons.

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