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Static Analysis (Elastoplasticity Part 1)

Static Analysis (Elastoplastic, Part 1)

This analysis uses the data of tutorial/05_plastic_cylinder.

Analysis target

The target of this analysis is the same 1/8 model of a round bar used in Section 4.3, Static Analysis (Hyperelasticity, Part 1).

Analysis content

The necking phenomenon of round bars caused by plastic deformation is analyzed. The Mises model was used as the yield function. The analysis control data are presented below.

# Control File for FISTR
## Analysis Control
!VERSION
  3
!SOLUTION, TYPE=NLSTATIC
!WRITE,RESULT,FREQUENCY=10
!WRITE,VISUAL,FREQUENCY=10
## Solver Control
### Boundary Conditon
!BOUNDARY, GRPID=1
  LOADS, 3, 3, -7.0
  FIX, 3, 3, 0.0
  XSYMM, 1, 1, 0.0
  YSYMM, 2, 2, 0.0
### STEP
!STEP, SUBSTEPS=40, CONVERG=4.6e-3
  BOUNDARY, 1
### Material
!MATERIAL, NAME=MAT1
!ELASTIC
  206900.0, 0.29
!PLASTIC, YIELD=MISES, HARDEN=MULTILINEAR
  450.0, 0.0
  608.0, 0.05
  679.0, 0.1
  732.0, 0.2
  752.0, 0.3
  766.0, 0.4
  780.0, 0.5
### Output
!OUTPUT_VIS
  NSTRAIN, ON
!OUTPUT_RES
  ISTRESS, ON
### Solver Setting
!SOLVER,METHOD=CG,PRECOND=1,ITERLOG=NO,TIMELOG=YES
  2000, 2
  1.0e-8, 1.0, 0.0

Analysis results

The analysis results of the 35th sub-step are shown in Fig. 4.5.1 as a deformation diagram with a Mises stress contour created with REVOCAP_PrePost. Furthermore, a part of the log files of the analysis results is shown below as numerical data of the analysis.

Analysis results of deformation and Mises stress

Fig. 4.5.1: Analysis results of deformation and Mises stress

#### Result step=    40
 ##### Local Summary @Node    :Max/IdMax/Min/IdMin####
 //U1    0.0000E+00         1 -7.2695E-01         7
 //U2    0.0000E+00         1 -7.2695E-01        13
 //U3    0.0000E+00         1 -7.0000E+00        38
 //E11  -1.0810E-01        38 -1.2378E-01         7
 //E22  -1.0810E-01        50 -1.2378E-01        13
 //E33   2.4788E-01        13  2.1876E-01        38
 //E12   9.9178E-04        53 -1.1026E-03        10
 //E23   8.1094E-08        38 -3.4137E-03        86
 //E31   8.1094E-08        50 -3.4137E-03        93
 //S11   1.0846E+01         1 -1.2094E+01        44
 //S22   1.0846E+01         1 -1.2094E+01        44
 //S33   7.5130E+02         1  7.2331E+02        44
 //S12   1.3859E+00       148 -2.0846E+00       136
 //S23   1.7004E+00       100 -5.6058E+00        80
 //S31   1.7004E+00        79 -5.6058E+00        99
 //SMS   7.4086E+02        13  7.3505E+02        38