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eF
Fp
Undeformedstate, time t=0
at time t.Configuration
UnstressedConfiguration
F
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tn
Unstressed Configuration
at time
Fn
Fn+1
F
u
Dn+1
pexp( t )
Fn
p
Fn
e
Fe
n+1
Fn+1
p
F*
e
tn
Known Configuration
at time
tn+1
at time
Unstressed
Configuration
tn+1
at time
Known
Configuration
Undeformed
state, t=0
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tnTime t=
tn+1Time t=
Time t=0
Fd u
Fu
B0
Bn
Bn+1
Configurationsduring the iterativeprocess
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X
Y
y = g(x)
Work piece
Die surface
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.U
2b
2a
b
a
z
r
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0.258
0.376
0.494
0.611
0.7290.8460.9641.082
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32.372
33.330
34.287
35.245
36.203
37.16038.11839.075
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0.100
0.195
0.289
0.384
0.478
0.573
0.668
0.762
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30.555
31.533
32.512
33.490
34.468
35.447
36.425
37.403
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