Manufacturing Technology: Unit I: Mechanics of Metal Cutting

lee and shaffer's theory

Mechanics of Metal Cutting - Manufacturing Technology

Lee and Shaffer's theory of orthogonal cutting is based on the slip line field theory i.e., it is the result of an attempt to apply the plasticity theory.

LEE AND SHAFFER'S THEORY

Lee and Shaffer's theory of orthogonal cutting is based on the slip line field theory i.e., it is the result of an attempt to apply the plasticity theory. The following assumptions are made in this theory:

(i) The work ahead of the tool behaves as ideal plastic mass

(ii) There exists a shear plane which separates the chip and workpiece.

(iii) No hardening occurs in chip.

On the basis of the above assumptions, the following relationship is obtained


The above equation could not apply for all values of γ and α. When γ is π/4 and α is 0, it will give the value of β as zero.

Therefore, Lee and Shaffer modified the above equation by including the effect of built up edge by using additional angle & depending on the size of built up edge. Then, the above equation becomes


However, the applicability of this solution for negative rake angle seems to be doubtful.


Manufacturing Technology: Unit I: Mechanics of Metal Cutting : Tag: : Mechanics of Metal Cutting - Manufacturing Technology - lee and shaffer's theory