Nonlinear Static Analysis (Elastoplasticity, Part 1)¶
Use the data in tutorial/05_plastic_cylinder.
Analysis Target¶
The analysis target is the same 1/8 round-bar model used in Nonlinear Static Analysis (Hyperelasticity, Part 1).
| Item | Description | Notes | 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 name | MAT1 | !MATERIAL,NAME=MAT1 | |
| Material properties | ELASTIC,PLASTIC | !ELASTIC !PLASTIC | |
| Boundary conditions | Restraint, prescribed displacement | ||
| Matrix solver | CG/SSOR | !SOLVER,METHOD=CG,PRECOND=1 |
Analysis Setup¶
Analyze necking of the round bar caused by plastic deformation. Use the Mises model as the yield function. The Analysis Control Data are 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 Condition
!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,method=PSR
!surface_num=1
!surface 1
!output_type=VTK
!END
Analysis Procedure¶
Run fistr1.
(Run with 4 threads.)
Analysis Results¶
Figure 4.5.1 shows a deformation plot for the 35th substep with Mises stress contours, created using REVOCAP_PrePost. An excerpt from the analysis result log file is shown below as numerical output.
Figure 4.5.1: Deformation and Mises stress results
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