A Plasticity Problem Involving Plane Strain and Plane Stress Simultaneously: Groove Formation in the Machining of High-Temperature Alloys

[+] Author and Article Information
M. C. Shaw

Department of Mechanical Engineering, Carnegie Institute of Technology, Pittsburgh, Pa.

A. L. Thurman, H. J. Ahlgren

Carnegie Institute of Technology, Pittsburgh, Pa.

J. Eng. Ind 88(2), 142-146 (May 01, 1966) (5 pages) doi:10.1115/1.3670904 History: Received February 26, 1965; Online December 08, 2011


Although a plane strain plastic analysis represents a good approximation for the central portion of a metal-cutting chip, plane stress better approximates conditions at the free edges of the chip. Therefore the metal-cutting problem is reexamined using both plane strain and plane stress simultaneously. The analysis indicates that the material at the edges of the chip will become plastic at a lower value of stress than will be required by the central constrained region and that the energy per unit volume at the edges of the chip will be greater than at the center. The consequence of these results is discussed in terms of the wear groove frequently observed on a tool under the free edges of the chip, which is particularly troublesome when machining high-temperature alloys.

Copyright © 1966 by ASME
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