Drawing of rods, wires and tubes
Drawing of rods, wires and tubes
Drawing of rods, wires and tubes
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If the material follows a power-law hardening relationship σσσσ εεεε = Kεεεε n , then<br />
σ<br />
d<br />
=<br />
ε<br />
η<br />
+ 1<br />
K n<br />
=<br />
( n + 1)<br />
η(<br />
n + 1)<br />
Substituting the criterion for the maximum drawing strain in a single<br />
pass, that is, σσσσ d = σσσσ εεεε ,<br />
ε<br />
max<br />
Suranaree University <strong>of</strong> Technology Tapany Udomphol<br />
Jan-Mar 2007<br />
σ<br />
ε<br />
= η(<br />
n + 1)<br />
Since εεεε = ln (Ab /Aa ),<br />
⎛ Ab ⎞ η ( n+<br />
1)<br />
⎜<br />
⎟ = e<br />
⎝ Aa<br />
⎠<br />
max<br />
And by the definition <strong>of</strong> the reduction r = 1- (A a /A b )<br />
r<br />
max<br />
= 1−<br />
e<br />
−η<br />
( n+<br />
1)<br />
For repeated reductions through a series <strong>of</strong> dies, n 0, r<br />
ε<br />
⎛ ε drawing ⎞ η(<br />
n + 1)<br />
⎜<br />
⎟ =<br />
⎝ ε stretch ⎠ n<br />
max<br />
…Eq.15<br />
…Eq.16<br />
…Eq.17<br />
…Eq.18<br />
…Eq.19
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