In wire drawing, the drawing stress can often be represented by σ = σY ln(A0/A), where A0 and A are the initial and final areas of the wire. If we constrain σ/σY to be 0.7, then what is the percentage reduction (100*(1-d/d0)) in wire diameter that can be achieved in a single drawing operation?

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In wire drawing, the drawing stress can often be represented by σ = σ<sub>Y</sub> ln(A<sub>0</sub>/A), where A<sub>0</sub> and A are the initial and final areas of the wire. If we constrain σ/σ<sub>Y</sub> to be 0.7, then what is the percentage reduction (100*(1-d/d<sub>0</sub>)) in wire diameter that can be achieved in a single drawing operation?