Nonlinear Static Analysis (Elastoplasticity Part 1)¶
This analysis uses the data in tutorial/05_plastic_cylinder.
Analysis Model¶
The analysis model is the same one-eighth round-bar model as in Nonlinear Static Analysis (Hyperelasticity Part 1).
| Item | Description | Remarks | Reference |
|---|---|---|---|
| Analysis type | Nonlinear static analysis (elastoplasticity) | !SOLUTION,TYPE=NLSTATIC | |
| Number of nodes | 629 | ||
| Number of elements | 432 | ||
| Element type | 8-node linear hexahedral element | !ELEMENT,TYPE=361 | |
| Material property name | MAT1 | !MATERICAL,NAME=MAT1 | |
| Material properties | ELASTIC,PLASTIC | !ELASTIC !PLASTIC | |
| Boundary conditions | Constraints, prescribed displacement | ||
| Matrix solver | CG/SSOR | !SOLVER,METHOD=CG,PRECOND=1 |
Analysis Description¶
The necking phenomenon of a round bar caused by plastic deformation is analyzed. The Mises model is used for the yield function. The analysis control data is shown below.
Analysis Control Data necking.cnt¶
# 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=1.0e-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, 1
1.0e-8, 1.0, 0.0
## Post Control
!VISUAL,metod=PSR
!surface_num=1
!surface 1
!output_type=VTK
!END
Analysis Procedure¶
Run the FrontISTR execution command fistr1.
(Run with 4 threads)
Analysis Results¶
For the analysis results at the 35th substep, a deformed-shape plot with Mises stress contours was created with REVOCAP_PrePost and is shown in Figure 4.5.1. As numerical data for the analysis results, part of the analysis result log file is shown below.
Figure 4.5.1 Analysis results: deformation and Mises stress
Analysis Result Log 0.log¶
fstr_setup: OK
#### Result step= 0
##### Local Summary @Node :Max/IdMax/Min/IdMin####
//U1 0.0000E+00 1 0.0000E+00 1
//U2 0.0000E+00 1 0.0000E+00 1
//U3 0.0000E+00 1 0.0000E+00 1
//E11 0.0000E+00 1 0.0000E+00 1
//E22 0.0000E+00 1 0.0000E+00 1
//E33 0.0000E+00 1 0.0000E+00 1
//E12 0.0000E+00 1 0.0000E+00 1
//E23 0.0000E+00 1 0.0000E+00 1
//E31 0.0000E+00 1 0.0000E+00 1
//S11 0.0000E+00 1 0.0000E+00 1
//S22 0.0000E+00 1 0.0000E+00 1
//S33 0.0000E+00 1 0.0000E+00 1
//S12 0.0000E+00 1 0.0000E+00 1
//S23 0.0000E+00 1 0.0000E+00 1
//S31 0.0000E+00 1 0.0000E+00 1
//SMS 0.0000E+00 1 0.0000E+00 1
##### Local Summary @Element :Max/IdMax/Min/IdMin####
//E11 0.0000E+00 1 0.0000E+00 1
//E22 0.0000E+00 1 0.0000E+00 1
//E33 0.0000E+00 1 0.0000E+00 1
//E12 0.0000E+00 1 0.0000E+00 1
//E23 0.0000E+00 1 0.0000E+00 1
//E31 0.0000E+00 1 0.0000E+00 1
//S11 0.0000E+00 1 0.0000E+00 1
//S22 0.0000E+00 1 0.0000E+00 1
//S33 0.0000E+00 1 0.0000E+00 1
//S12 0.0000E+00 1 0.0000E+00 1
//S23 0.0000E+00 1 0.0000E+00 1
//S31 0.0000E+00 1 0.0000E+00 1
//SMS 0.0000E+00 1 0.0000E+00 1
##### Global Summary @Node :Max/IdMax/Min/IdMin####
//U1 0.0000E+00 1 0.0000E+00 1
//U2 0.0000E+00 1 0.0000E+00 1
//U3 0.0000E+00 1 0.0000E+00 1
//E11 0.0000E+00 1 0.0000E+00 1
//E22 0.0000E+00 1 0.0000E+00 1
//E33 0.0000E+00 1 0.0000E+00 1
//E12 0.0000E+00 1 0.0000E+00 1
//E23 0.0000E+00 1 0.0000E+00 1
//E31 0.0000E+00 1 0.0000E+00 1
//S11 0.0000E+00 1 0.0000E+00 1
//S22 0.0000E+00 1 0.0000E+00 1
//S33 0.0000E+00 1 0.0000E+00 1
//S12 0.0000E+00 1 0.0000E+00 1
//S23 0.0000E+00 1 0.0000E+00 1
//S31 0.0000E+00 1 0.0000E+00 1
//SMS 0.0000E+00 1 0.0000E+00 1
##### Global Summary @Element :Max/IdMax/Min/IdMin####
//E11 0.0000E+00 1 0.0000E+00 1
//E22 0.0000E+00 1 0.0000E+00 1
//E33 0.0000E+00 1 0.0000E+00 1
//E12 0.0000E+00 1 0.0000E+00 1
//E23 0.0000E+00 1 0.0000E+00 1
//E31 0.0000E+00 1 0.0000E+00 1
//S11 0.0000E+00 1 0.0000E+00 1
//S22 0.0000E+00 1 0.0000E+00 1
//S33 0.0000E+00 1 0.0000E+00 1
//S12 0.0000E+00 1 0.0000E+00 1
//S23 0.0000E+00 1 0.0000E+00 1
//S31 0.0000E+00 1 0.0000E+00 1
//SMS 0.0000E+00 1 0.0000E+00 1
...
#### Result step= 40
##### Local Summary @Node :Max/IdMax/Min/IdMin####
//U1 0.0000E+00 1 -3.4606E+00 7
//U2 0.0000E+00 1 -3.4606E+00 13
//U3 0.0000E+00 1 -7.0000E+00 38
//E11 -3.8922E-02 38 -6.4666E-01 14
//E22 -3.8922E-02 50 -6.4666E-01 6
//E33 1.2914E+00 1 7.8682E-02 44
//E12 2.5910E-01 10 -1.1813E-02 387
//E23 9.7554E-03 91 -1.1753E+00 13
//E31 9.7554E-03 88 -1.1753E+00 7
//S11 2.6632E+02 1 -3.6916E+02 192
//S22 2.6632E+02 1 -3.6916E+02 192
//S33 1.0471E+03 1 -4.1469E+01 191
//S12 7.2338E-01 53 -1.3479E+02 387
//S23 5.9172E+01 191 -2.5727E+02 89
//S31 5.9172E+01 191 -2.5727E+02 90
//SMS 7.9063E+02 13 2.4706E+02 190
##### Local Summary @Element :Max/IdMax/Min/IdMin####
//E11 -3.9027E-02 750 -5.5060E-01 345
//E22 -3.9027E-02 750 -5.5060E-01 345
//E33 1.1045E+00 345 7.8722E-02 750
//E12 1.7067E-01 361 -1.6134E-02 414
//E23 -2.0595E-05 756 -9.6480E-01 363
//E31 -2.0595E-05 748 -9.6480E-01 354
//S11 2.6751E+02 345 -3.9312E+02 399
//S22 2.6751E+02 345 -3.9312E+02 399
//S33 1.0447E+03 345 -4.7069E+01 426
//S12 1.4870E+01 361 -1.4324E+02 442
//S23 4.0405E+01 478 -2.8018E+02 393
//S31 4.0405E+01 486 -2.8018E+02 380
//SMS 7.7935E+02 345 2.3268E+02 480
##### Global Summary @Node :Max/IdMax/Min/IdMin####
//U1 0.0000E+00 1 -3.4606E+00 7
//U2 0.0000E+00 1 -3.4606E+00 13
//U3 0.0000E+00 1 -7.0000E+00 38
//E11 -3.8922E-02 38 -6.4666E-01 14
//E22 -3.8922E-02 50 -6.4666E-01 6
//E33 1.2914E+00 1 7.8682E-02 44
//E12 2.5910E-01 10 -1.1813E-02 387
//E23 9.7554E-03 91 -1.1753E+00 13
//E31 9.7554E-03 88 -1.1753E+00 7
//S11 2.6632E+02 1 -3.6916E+02 192
//S22 2.6632E+02 1 -3.6916E+02 192
//S33 1.0471E+03 1 -4.1469E+01 191
//S12 7.2338E-01 53 -1.3479E+02 387
//S23 5.9172E+01 191 -2.5727E+02 89
//S31 5.9172E+01 191 -2.5727E+02 90
//SMS 7.9063E+02 13 2.4706E+02 190
##### Global Summary @Element :Max/IdMax/Min/IdMin####
//E11 -3.9027E-02 750 -5.5060E-01 345
//E22 -3.9027E-02 750 -5.5060E-01 345
//E33 1.1045E+00 345 7.8722E-02 750
//E12 1.7067E-01 361 -1.6134E-02 414
//E23 -2.0595E-05 756 -9.6480E-01 363
//E31 -2.0595E-05 748 -9.6480E-01 354
//S11 2.6751E+02 345 -3.9312E+02 399
//S22 2.6751E+02 345 -3.9312E+02 399
//S33 1.0447E+03 345 -4.7069E+01 426
//S12 1.4870E+01 361 -1.4324E+02 442
//S23 4.0405E+01 478 -2.8018E+02 393
//S31 4.0405E+01 486 -2.8018E+02 380
//SMS 7.7935E+02 345 2.3268E+02 480