True Stress (σT True stress is the stress determined by the ...
[Pages:10]True Stress (T)
True stress is the stress determined by the instantaneous load acting on the
instantaneous cross-sectional area
True stress is related to engineering stress: Assuming material volume remains constant
Aol o = Al
T
=
P A
=
P * Ao A Ao
=
P Ao
* Ao A
A o=
l
=+lo =
+ 1 = (1 + )
A lo
lo
lo
= P (1+ ) = (1+ ) A T
o
True Strain (T)
The rate of instantaneous increase in the instantaneous gauge length.
T =
dl l
=
ln
l lo
T
=
ln
lo
+ l lo
ln
l l
o o
+
l lo
T = ln( 1 + )
Strain Hardening Parameter (n)
T = KT n
Strain hardening parameter
T n = d T
T
d T
0 ................
................
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