Badri Hype l

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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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