Closed form expressions for the steady-state thermal stresses in a π/2 wedge, subject to constant-temperature heat sources on the rake and flank contact segments, are obtained from a conformal mapping solution to the steady-state heat conduction problem. It is shown, following a theorem of Muskhelishvili, that the only nonzero thermal stress in the plane-strain wedge is that acting normal to the wedge plane. The thermal stress solutions are superimposed on a previously published isothermal cutting-load solution, to give the complete thermoelastic stress distribution at the wedge surfaces. The thermoelastic stresses are then used to determine the distribution of the equivalent stress, and this gives an indication of the regions on a cutting tool which are likely to be in the plastic state. The results are discussed in relation to the problems of flank wear and rakeface crater wear in metal cutting tools.
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August 1975
This article was originally published in
Journal of Engineering for Industry
Research Papers
Steady-State Thermal Stresses in Wedge-Shaped Cutting Tools
P. F. Thomason
P. F. Thomason
Department of Mechanical Engineering, University of Salford, Salford, England
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P. F. Thomason
Department of Mechanical Engineering, University of Salford, Salford, England
J. Eng. Ind. Aug 1975, 97(3): 1060-1066
Published Online: August 1, 1975
Article history
Received:
March 21, 1974
Online:
July 15, 2010
Citation
Thomason, P. F. (August 1, 1975). "Steady-State Thermal Stresses in Wedge-Shaped Cutting Tools." ASME. J. Eng. Ind. August 1975; 97(3): 1060–1066. https://doi.org/10.1115/1.3438656
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Introduction
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow