RESEARCH PAPERS: Papers on Production Engineering

A Transport-Diffusion Equation in Metal Cutting and its Application to Analysis of the Rate of Flank Wear

[+] Author and Article Information
E. Kannatey-Asibu

Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, Mich. 48109

J. Eng. Ind 107(1), 81-89 (Feb 01, 1985) (9 pages) doi:10.1115/1.3185971 History: Received March 30, 1984; Online July 30, 2009


A two-dimensional transport-diffusion equation is derived for diffusion in metal cutting by an extension of Fick’s second law. The analysis considers the dynamics of the cutting process and thus offers a comprehensive representation of the diffusing species in the workpiece and the chip. A relationship for the rate of flank wear is derived considering adhesion and diffusion as the major modes of wear on the tool flank. It is based on the mechanics of the wear process, friction and diffusion, taking into account the regenerative effects of wear, temperature, and friction force. Based on the simulated results of the analysis, a new criterion is proposed for determining tool life.

Copyright © 1985 by ASME
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