Rubber

This model illustrates the behavior of the Frazer Nash rubber model using a single element.

*MAT_FRAZER_NASH_RUBBER_MODEL
Frazer-Nash Single Element
LS-DYNA Manual Section: *MAT_FRAZER_NASH_RUBBER_MODEL

Example: Frazer-Nash Single Element

Filename: mat_fn_rubber.element.k

Description:
This model illustrates the behavior of the Frazer Nash rubber model using a
single element.

Model:
The example contains a single element which measures 7.5 * 7.5 * 100. The
element is constrained in the z-direction on the bottom and has prescribed
velocity on the top surface.

Input:
Unitary input for any constant indicates least squares curve fitting.
(*MAT_FRAZER_NASH_RUBBER). The least squares curve fit requires specimen
dimensions and a stress-strain load curve. The model provides the option to
stop the calculation based on maximum and minimum strain values.

Results:
The compressibility of the element and the pressure versus a verage strain are
shown in the plots..

References:
Kenchington, D. C.

*BOUNDARY_PRESCRIBED_MOTION_NODES
*CONTROL_ENERGY
*CONTROL_HOURGLASS
*CONTROL_TERMINATION
*CONTROL_TIMESTEP
*DATABASE_BINARY_D3PLOT
*DATABASE_BINARY_D3THDT
*DATABASE_ELOUT
*DATABASE_GLSTAT
*DATABASE_HISTORY_NODE
*DATABASE_HISTORY_SOLID
*DATABASE_MATSUM
*DATABASE_NODOUT
*DEFINE_CURVE
*DEFINE_VECTOR
*ELEMENT_SOLID
*END
*KEYWORD
*MAT_FRAZER_NASH_RUBBER_MODEL
*NODE
*PART
*SECTION_SOLID
*TITLE

  *KEYWORD
  *TITLE
  Test for Frazer-Nash Material Model                                     
  $
  $  LSTC Example
  $
  $  Last Modified: September 18, 1997
  $
  $  Units: kg, mm, ms, kN, GPa, kN-mm
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $$$$  Control Ouput
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8
  $
  *CONTROL_TERMINATION
  $   endtim    endcyc     dtmin    endneg    endmas
        20.0
  $
  *CONTROL_ENERGY
  $     hgen      rwen    slnten     rylen
           2
  $
  *CONTROL_HOURGLASS
  $      ihq        qh
           1      0.05
  $
  *CONTROL_TIMESTEP
  $   dtinit    tssfac      isdo    tslimt     dt2ms      lctm     erode     ms1st
             5.000E-01
  $
  $
  *DATABASE_BINARY_D3PLOT
  $       dt      lcdt
         0.1
  $
  *DATABASE_BINARY_D3THDT
  $       dt      lcdt
         0.1
  $
  *DATABASE_ELOUT
  $       dt
         0.1
  $
  *DATABASE_HISTORY_SOLID
  $      id1       id2       id3       id4       id5       id6       id7       id8
           1
  $
  *DATABASE_GLSTAT
  $       dt
         0.1
  $
  *DATABASE_MATSUM
  $       dt
         0.1
  $
  *DATABASE_NODOUT
  $       dt
         0.1
  $
  *DATABASE_HISTORY_NODE
  $      id1       id2       id3       id4       id5       id6       id7       id8
           1
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $$$$  Boundary Conditions - Prescribed Motion
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8
  $
  *BOUNDARY_PRESCRIBED_MOTION_NODES
  $      nid       dof       vad      lcid        sf       vid
           1         4         2         1 4.000E-02         1
           2         4         2         1 4.000E-02         1
           3         4         2         1 4.000E-02         1
           4         4         2         1 4.000E-02         1
  $
  *DEFINE_VECTOR
  $      vid        xt        yt        zt        xh        yh        zh
           1 0.000E+00 0.000E+00 0.000E+00 0.000E+00 0.000E+00-1.000E+00
  $
  *DEFINE_CURVE
  $     lcid      sidr      scla      sclo      offa      offo
           1
  $           abscissa            ordinate
        0.00000000E+00      0.00000000E+00
        2.00000000E+00      7.13000011E+00
        4.00000000E+00      1.35200005E+01
        6.00000000E+00      1.86100006E+01
        8.00000000E+00      2.18700008E+01
        1.00000000E+01      2.30000000E+01
        1.20000000E+01      2.18700008E+01
        1.40000000E+01      1.86100006E+01
        1.60000000E+01      1.35200005E+01
        1.80000000E+01      7.13000011E+00
        2.00000000E+01      0.00000000E+00
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $$$$  Define Parts and Materials
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8
  $
  *PART
  $      pid       sid       mid     eosid      hgid    adpopt
  Rubber
           1         1         1
  $
  $
  *MAT_FRAZER_NASH_RUBBER_MODEL
  $      mid        ro        pr      c100      c200      c300      c400
           1 1.254E-06     0.495 1.000E+00 0.000E+00
  $
  $     c110      c210      c010      c020      exit      emax      emin
   1.000E+00 0.000E+00 1.000E+00 1.000E+00 1.000E+00 9.000E-01-9.000E-01
  $
  $      sgl        sw        st      lcid
   1.000E+00 1.000E+00 1.000E+00         2
  $
  $
  *SECTION_SOLID
  $      sid    elform
           1         0
  $
  $$$$  Force versus actual change in guage length for F_N rubber model.
  $
  *DEFINE_CURVE
  $     lcid      sidr      scla      sclo      offa      offo
           2
  $           abscissa            ordinate
        0.00000000E+00      0.00000000E+00
        6.07299991E-03      3.59800004E-04
        1.24500003E-02      6.25399989E-04
        1.88100003E-02      8.85999994E-04
        2.53199991E-02      1.24600006E-03
        3.11200004E-02      1.71500002E-03
        3.71199995E-02      2.40099989E-03
        4.32099998E-02      3.35399993E-03
        4.92900014E-02      4.59800009E-03
        5.42900003E-02      5.86300017E-03
        5.93000017E-02      7.36099994E-03
        6.43299967E-02      9.10999998E-03
        6.94399998E-02      1.11400001E-02
        7.27799982E-02      1.26200002E-02
        7.60900006E-02      1.41899996E-02
        7.94499964E-02      1.59000009E-02
        8.28600004E-02      1.77500006E-02
        8.40499997E-02      1.84300002E-02
        8.52300003E-02      1.91099998E-02
        8.64199996E-02      1.98199991E-02
        8.76099989E-02      2.05400009E-02
        1.08700001E+00      2.01999998E+00
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $$$$  Define Nodes and Elements
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $
  *END