8-thermoforming

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    Thermoforming

    2.810T. Gutowski

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    Vacuum Thermoforming

    Heater

    Plastics sheetClamping

    Vacuum

    *

    **

    * Source: R. Ogorkiewicz, Engineering Properties of Thermoplastics.; ** http://www.arrem.com/designguide/dgprocesscap.htm

    Thin corner

    http://www.arrem.com/designguide/dgprocesscap.htmhttp://www.arrem.com/designguide/dgprocesscap.htm
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    Thermoformed Parts

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    Some Basics

    1. Heating and cooling

    2. Viscoelastic behavior

    Rubber elasticity Time-Temperature behavior

    3. Deformation patterns

    4. Production equipment5. Double diaphram forming

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    Heat Transfer in Thermoforming

    Heating convectionqradiatioq

    radiationq

    conductionq

    Coolingconvectionradiation qq &

    conductionq

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    Radiation Heat Transfer between two parallel plates

    s= 5.67 x 10-8W/m2K4

    ex. e1e2= 1 (black bodies)

    T1= 533oK (heater)

    T2= 293oK (plastic at room temperature)

    q = 4.2kW/m2

    at T2= 180oC = 453oK (forming temperature)

    q = 2.3kW/m2

    )(1

    11

    14241

    21

    TTq s

    e

    e

    See Lienhard Text Ch 10 on Radiation Heat Transfer

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    Heating Time est. (Kydex sheet)

    r= 1.35 g/cm3

    w = 1/16 in or 1.59 mm

    c = 1.21 J/goK

    DT = 18020 = 160oK

    t = 130 sec

    q rwcDT

    Dt

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    Temperature regimes for polymers

    Log E(t)

    TemperatureTg Tm

    Semi-crystalline Polymer

    Log E(t)

    TemperatureTg Tg+60C

    Amorphous Polymer

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    Viscoelastic Effects During

    processingUnloaded sample

    Coiled polymer chain

    Extended polymer chain

    Loaded sample

    Polymer chains tend to exist in coiled configurations. Loading thesample can extend the chain and alter the mechanical behavior.Generally, abrupt, high rates of loading will extend the chain and leadto elastic effects. On the other hand, gradual slow rates of loadingallow the chain to more or less retain its coiled configuration, with a

    resulting primarily viscous response

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    Simplified Rubber Elasticity

    DW = F DL = DA = DETDS

    (A = Helmholtz free energy)

    Conventional materials

    F = DE/DL

    Rubber

    F =-T (DS/DL)

    F

    note that upon extension the change in entropy is negative

    (No volume change)

    Flory

    QuickTime and a decompressor

    are needed to see this picture.

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    Simple Viscoelastic System

    e

    Force Equilibrium: ss sd s

    Kinematic compatibility: es ed e

    Constitutive behavior: ss Ees;sd ed

    This gives

    Esse

    ModulusElastic

    ViscosityNewtonian""

    :isconstantTimeticviscoelasThe

    E

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    Solution to : sse with I.C. s 0 at t 0

    se(1 e

    t

    )

    Large values of t / i.e. t

    se viscous behaviorSmall values of t / i.e. t

    se(1 (1 t / )) et

    let e te, this gives

    sEe elastic behavior

    FAST t ViscousINBETWEN t ~ Viscoelastic

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    Temp. Dependence of Time

    constant,

    TE

    e

    E

    RTE

    0

    0

    D

    Arrhenius

    Rubber elasticity

    Approximation RTEeD 0(For better accuracy, use Time-Temp shift, WLF eqn.)

    Example: PMMA Temp

    40C 114 yrs100C Tg135C 3.5 millisec

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    Viscous behavior of silly putty

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    deformation patterns

    d(Ah) = A dh + h dA = 0

    dA/A = - dh/h

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    Deformation Patterns

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    Thermoforming

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    Variations on the process

    Drape Forming

    Vacuum Forming

    Vacuum Snap-Back Forming

    Billow Vacuum Forming

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    Thermoforming Patterns

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    Vacuum holes

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    Variations on the process

    Plug-assist Vacuum Forming Plug-assist Pressure Forming

    Pressure Reverse Draw with Plug-assisted

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    Production Equipment

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    Double Diaphragm Forming

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    Temp, Time, Size & Shear

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    Ideal Shear Vs Actual

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    Parts made in Lab

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    Double diaphragm forming

    Forming

    tool

    Curing

    tool

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    Former MIT grad student

    Sam Truslow

    MIT Building 35 Prototype machine at Boeing

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    More videos

    http://www.youtube.com/watch?v=KPFAoLmJ5og

    superplastic forming of aluminum at Kirkham University

    http://www.youtube.com/watch?v=NPLWxxyIJcE&NR=1&feature=fvwpthermoforming blow and then vacuum

    http://www.youtube.com/watch?v=KPFAoLmJ5oghttp://www.youtube.com/watch?v=NPLWxxyIJcE&NR=1&feature=fvwphttp://www.youtube.com/watch?v=NPLWxxyIJcE&NR=1&feature=fvwphttp://www.youtube.com/watch?v=KPFAoLmJ5og