Plasticity — Welcome to LS-DYNA Examples

Home » Knowledge Base » Simple Examples » Examples Manual » Material » Plasticity

A plate of 1,200 Belytschko-Tsay shell elements strikes a wall at an angle of 45 degrees from the wall normal. The impact velocity is 20,775 in/sec. and the termination time is 0.00025 seconds.

Introduction

*MAT_PIECEWISE_LINEAR_PLASTICITY
Piecewise Linear Plasticity Fragmenting Plate
LS-DYNA Manual Section: *MAT_PIECEWISE_LINEAR_PLASTICITY

Example: Piecewise Linear Plasticity Fragmenting Plate

Filename: mat_piecewise_linear.plate-shatter.k

Description:
A plate of 1,200 Belytschko-Tsay shell elements strikes a wall at an angle of
45 degrees from the wall normal. The impact velocity is 20,775 in/sec. and the
termination time is 0.00025 seconds.

Model:
The material description contains Young's Modulus, Poisson's ratio, yield
stress, hardening modulus, ultimate plastic strain, and time step size for
element deletion.

Input:
One material definition for a Belytschko-Tsay shell with viscous hour glass
control (*CONTROL_HOURGLASS). Young's Modulus, Poisson's ratio, yield stress
and the hardening modulus are 16 Msi, 0.35, 155,000 psi, and 192,000 psi
respectively. (*MAT_LINEAR_PIECEWISE_PLASTICITY). The plastic strain at failure
is 32% and the failure minimum time step size is 0.3 microseconds.

Results:
The plate deforms away from the stonewall and the plate fragments.

Keywords

*CONTACT_SURFACE_TO_SURFACE
*CONTROL_CONTACT
*CONTROL_HOURGLASS
*CONTROL_TERMINATION
*DATABASE_BINARY_D3PLOT
*ELEMENT_SHELL
*END
*INITIAL_VELOCITY
*KEYWORD
*MAT_PIECEWISE_LINEAR_PLASTICITY
*NODE
*PART
*SECTION_SHELL
*SET_NODE_LIST
*SET_PART_LIST
*TITLE

Reduced Input

  *KEYWORD
  *TITLE
  Test for Material 24 with Failure
  $
  $  LSTC Example
  $
  $  Last Modified: September 18, 1997
  $
  $  Units: lbf-s2/in, in, s, lbf, psi, lbf-in
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $$$$  Control Ouput
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8
  $
  *CONTROL_TERMINATION
  $   endtim    endcyc     dtmin    endneg    endmas
   2.500E-04           5.000E-02
  $
  *CONTROL_CONTACT
  $   slsfac    rwpnal    islchk    shlthk    penopt    thkchg     orien
        0.01
  $   usrstr    usrfac     nsbcs    interm    xpenen
  
  $
  *CONTROL_HOURGLASS
  $      ihq        qh
           4
  $
  *DATABASE_BINARY_D3PLOT
  $  dt/cycl      lcdt
   1.250E-05
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $$$$  Initial Conditions
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8
  $
  $$$$  All nodes except nodes in node set 1 are given an initial velocity.
  $$$$  Node set 1 contains the nodes of the wall.
  $
  *INITIAL_VELOCITY
  $     nsid    nsidex     boxid
                     1
  $
  $       vx        vy        vz       vxr       vyr       vzr
  -1.469E+04-1.469E+04 0.000E+00 0.000E+00 0.000E+00 0.000E+00
  $
  $      vxe       vye       vze      vxre      vyre      vzre
  
  $
  $
  *SET_NODE_LIST
  $      sid
           1
  $     nid1      nid2      nid3      nid4      nid5      nid6      nid7      nid8
        1282      1283      1284      1285
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $$$$  Contacts - Sliding Interfaces
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8
  $
  *CONTACT_SURFACE_TO_SURFACE
  $     ssid      msid     sstyp     mstyp    sboxid    mboxid       spr       mpr
           1         3         2         3                             1         1
  $       fs        fd        dc        vc       vdc    penchk        bt        dt
         0.3       0.3      
  $      sfs       sfm       sst       mst      sfst      sfmt       fsf       vsf
  
  $
  $
  *SET_PART_LIST
  $      sid
           1
  $     pid1      pid2      pid3
           1         2
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $$$$  Define Parts and Materials
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8
  $
  *PART
  $      pid       sid       mid     eosid      hgid    adpopt
  plate          
           1         1         1
  plate-tip          
           2         1         1
  wall          
           3         1         1
  $
  $
  *MAT_PIECEWISE_LINEAR_PLASTICITY
  $      mid        ro         e        pr      sigy      etan      eppf      tdel
           1 4.1408E-4  16.00e+6      0.35   155000.   192000.      0.32   0.03e-6
  $        c         p      lcss      lcsr
  
  $     eps1      eps2      eps3      eps4      eps5      eps6      eps7      eps8
  
  $      es1       es2       es3       es4       es5       es6       es7       es8
  
  $
  $
  *SECTION_SHELL
  $      sid    elform      shrf       nip     propt   qr/irid     icomp
           1         0                   5         3         0
  $       t1        t2        t3        t4      nloc
       0.125     0.125     0.125     0.125
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $$$$  Define Nodes and Elements
  $
  $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
  $
  $$$$  Nodes 1282, 1283, 1284, 1285 are fixed - nodes of the wall.
  $
  $
  *END

Figures

image01.gif

image02.gif

Animated Result

Result

Download