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A rigid sphere drops onto an elastic plate. The sphere contains shell elements automatically generated with a “Geometric Contact Entity” spherical surface.

Introduction

*CONTACT_ENTITY
Rigid Sphere Impacts Plate
LS-DYNA Manual Section: *CONTACT_ENTITY

Additional Sections:
*BOUNDARY_PRESCRIBED_MOTION_RIGID

Example: Rigid Sphere Impacts Plate

Filename: contact_entity.sphere.k

Description:
A rigid sphere drops onto an elastic plate. The sphere contains shell elements
automatically generated with a "Geometric Contact Entity" spherical surface.

Model:
The plate of elastic material measures 40 * 40 * 2 mm3 and contains
64 Belytschko-Tsay shell elements. The sphere has a radius of 6.0 mm and the
distance from the center of the cube to the plate is 8.5 mm. The inertia
properties of the sphere are defined by the properties of the rigid brick
element. A geometric contact entity defines the spherical contact surface.
The sphere moves toward the plate with a uniform motion. The termination time
is 0.0005 seconds.

Input:
The Geometric Contact Entity defines the outer master surface on the rigid
sphere (*CONTACT_ENTITY). The nodes on the plate are slave nodes
(*SET_NODE_LIST), and are in the "Geometric Entity". A load curve definition
defines the movement of the sphere (* BOUNDARY_PRESCRIBED_MOTION_RIGID,
*DEFINE_CURVE). The displacement condition for rigid bodies is input by part
number, not by listing the nodes included in the definition.

Reference:
Schweizerhof, K. and Weimar, K.

Keywords

$ * Part 1 - plate
$ * Part 2 - sphere - Contact Entity
*BOUNDARY_PRESCRIBED_MOTION_RIGID
*CONTACT_ENTITY
*CONTROL_HOURGLASS
*CONTROL_TERMINATION
*CONTROL_TIMESTEP
*DATABASE_BINARY_D3PLOT
*DATABASE_GCEOUT
*DATABASE_RBDOUT
*DEFINE_CURVE
*ELEMENT_SHELL
*END
*KEYWORD
*MAT_ELASTIC
*MAT_RIGID
*NODE
*PART
*SECTION_SHELL
*SECTION_SOLID
*SET_NODE_LIST
*TITLE

Reduced Input

  *KEYWORD
  *TITLE
  Geometric Contact Entity
  $
  $  LSTC Example
  $
  $  * Part 1 - plate
  $      Shells (2.0 mm thick)
  $      elastic material
  $      translational constraints on all four edges (z-dir only)
  $ 
  $  * Part 2 - sphere  -  Contact Entity
  $      Defined as shells and rigid material but really there are no part 2
  $        elements defined explicitly.  The contact entity is really part 2.
  $      center (x,y,z) = (20,20,9) 
  $      radius = 6 mm
  $
  $
  $  ===> Due to the course mesh of the plate, there is considerable amount
  $         of penetration of the sphere into the plate.
  $
  $  Last Modified: April 10, 1997
  $
  $  Units: mm, ton, s, N, MPa, N-mm
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $$$$  Control/Ouput
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8
  $
  *CONTROL_TERMINATION
  $   endtim    endcyc     dtmin    endneg    endmas
    .5000E-3
  $
  *CONTROL_TIMESTEP
  $   dtinit      scft      isdo    tslimt      dtms      lctm     erode     ms1st
                   0.1
  $
  *CONTROL_HOURGLASS
  $      ihq        qh
           4
  $
  $
  *DATABASE_BINARY_D3PLOT
  $  dt/cycl      lcdt
   0.0200E-3
  $
  *DATABASE_RBDOUT
  $  dt/cycl      lcdt
    0.005e-3
  $
  *DATABASE_GCEOUT
  $  dt/cycl      lcdt
    0.005e-3
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $$$$  Contact Entity
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8
  $
  *CONTACT_ENTITY
  $      pid    geotyp       sid      styp        sf        df        cf    intord
           2         2         1         0       1.0
  $
  $       bt        dt        so
  
  $
  $       xc        yc        zc        ax        ay        az
        0.00      0.00       .00      1.00      0.00      0.00
  $
  $       bx        by        bz
        0.00      1.00      0.00
  $
  $    inout        g1        g2        g3        g4        g5        g6        g7
           0     20.00     20.00      9.00      6.00
  $
  $
  *SET_NODE_LIST
  $      sid       da1       da2       da3       da4
           1
  $ 
  $     nid1      nid2      nid3      nid4      nid5      nid6      nid7      nid8
           1         2         3         4         5         6         7         8
           9        10        11        12        13        14        15        16
          17        18        19        20        21        22        23        24
          25        26        27        28        29        30        31        32
          33        34        35        36        37        38        39        40
          41        42        43        44        45        46        47        48
          49        50        51        52        53        54        55        56
          57        58        59        60        61        62        63        64
          65        66        67        68        69        70        71        72
          73        74        75        76        77        78        79        80
          81
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $$$$  Define Parts and Materials
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8
  $
  $$$ Part    1    shell: plate  - elastic material
  $
  $$$ Part    2    solid: sphere - rigid material  ==> contact entity
  $
  *PART
  plate 
  $      pid       sid       mid     eosid      hgid    adpopt
           1         1         1         0         0         0
  $
  *PART
  sphere
  $      pid       sid       mid     eosid      hgid    adpopt
           2         2         2         0         0         0
  $
  $
  $$$$  Materials
  $
  *MAT_ELASTIC
  $      mid        ro         e        pr        da        db         k
           1  2.00e-08   100000.     0.300
  $
  *MAT_RIGID
  $      mid        ro         e        pr         n    couple         m     alias
           2  2.00e-08   100000.     0.300                   4
  $
  $      cmo      con1      con2
  
  $
  $   lco/a1        a2        a3        v1        v2        v3
  
  $
  $
  $$$$  Sections
  $
  *SECTION_SHELL
  $      sid    elform      shrf       nip     propt   qr/irid     icomp
           1             0.83333       2.0       3.0
  $
  $       t1        t2        t3        t4      nloc
         2.0       2.0       2.0       2.0
  $
  *SECTION_SOLID
  $      sid    elform
           2
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $$$$  Boundary and Initial Conditions
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8
  $
  *BOUNDARY_PRESCRIBED_MOTION_RIGID
  $      mid       dof       vad      lcid        sf       vid
           2         3         2         1 1.000E+00
  $
  *DEFINE_CURVE
  $     lcid      sidr      scla      sclo      offa      offo
           1
  $
  $           abscissa            ordinate
                   0.0                 0.0
                0.0050              -150.0
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $$$$  Define Nodes and Elements
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8
  $
  $
  *END

Figures

image01.gif

image02.gif

Animated Result

Result

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