Manufacturing Processes I · Metal Forming · 2 marks · Numerical answer
A perfectly plastic wire has flow stress 300 MPa. During ideal frictionless drawing, back tension is zero and front tension is 200 MPa. Find percentage area reduction (one decimal).
Ideal drawing stress satisfies $\sigma_d=\sigma_f\ln(A_0/A_f)$. Thus $A_f/A_0=e^{-200/300}=e^{-2/3}$. Area reduction is $100(1-e^{-2/3})=\mathbf{48.7\%}$ after rounding.
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