# 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
\$
\$
\$  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```