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Contact Analysis (Part 1)¶
This analysis uses the data of tutorial/09_contact_hertz.
Analysis target¶
The analysis is a Hertz contact problem and the geometry to be analyzed is shown in Figure 4.9.1 and the mesh data is shown in Figure 4.9.2.
| Item | Description | Notes | Reference |
|---|---|---|---|
| Type of analysis | Nonlinear static analysis (elastoplasticity, contact) | !SOLUTION,TYPE=NLSTATIC !CONTACT | |
| Number of nodes | 408 | ||
| Number of elements | 168 | ||
| Element type | 8-node linear hexahedral element | !ELEMENT,TYPE=361 | |
| Material name | MAT1 | !MATERIAL,NAME=MAT1 | |
| Material properties | ELASTIC | !ELASTIC | |
| Boundary conditions | Restraint, prescribed displacement | ||
| Matrix solver | CG/SSOR | !SOLVER,METHOD=CG,PRECOND=1 |
Fig. 4.9.1: Shape of the analysis target
Fig. 4.9.2: Mesh data of the analysis target
Analysis content¶
The extended Lagrangian multiplier method is used to perform a contact analysis in which a forced displacement in the compressive direction is applied to the upper surface of a 1/4 disc model. The analytical control data are shown below.
Analysis control data cgs3.cnt¶
# Control File for FISTR
## Analysis Control
!VERSION
3
!SOLUTION, TYPE=NLSTATIC
!WRITE,RESULT
!WRITE,VISUAL
## Solver Control
### Boundary Condition
!BOUNDARY, GRPID=1
ALL, 3, 3, 0.0
BOTTOM, 2, 2, 0.0
CENTER, 1, 1, 0.0
UPPER, 2, 2, -0.306
!CONTACT_ALGO, TYPE=ALAGRANGE
!CONTACT, GRPID=1
CP1, 0.0
### STEP
!STEP, SUBSTEPS=5, CONVERG=1.0e-5
BOUNDARY, 1
CONTACT, 1
### Material
!MATERIAL, NAME=MAT1
!ELASTIC
1100.0, 0.0
### Solver Setting
!SOLVER,METHOD=CG,PRECOND=1,ITERLOG=YES,TIMELOG=YES
1000, 1
1.0e-10, 1.0, 0.0
## Post Control
!VISUAL,method=PSR
!surface_num=1
!surface 1
!output_type=VTK
!END
Analysis procedure¶
Execute the FrontISTR execution command fistr1.
(Runs in 4 threads.)
Analysis results¶
The results of the 5th substep are shown in Figure 4.9.3. A deformation diagram with contours of the y-direction displacement is created by REVOCAP_PrePost. A part of the analysis results log file is shown below as numerical data for the analysis results.
Fig. 4.9.3: Analysis results of deformation and y-direction displacement
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= 5
##### Local Summary @Node :Max/IdMax/Min/IdMin####
//U1 1.3079E-02 31 -4.1442E-02 54
//U2 4.9597E-03 1008 -3.0604E-01 69
//U3 0.0000E+00 1 0.0000E+00 1
//E11 7.1171E-03 1049 -4.7627E-02 1
//E22 2.0644E-03 1012 -5.3428E-02 50
//E33 9.3301E-03 50 -4.0103E-03 54
//E12 4.3231E-02 1000 -2.7666E-02 54
//E23 1.3028E-12 1046 -1.2515E-12 2
//E31 3.5660E-13 48 -2.1028E-12 51
//S11 7.9455E+00 1049 -4.9987E+01 1
//S22 2.2819E+00 1012 -5.3282E+01 50
//S33 1.1359E+01 50 -4.4937E+00 54
//S12 2.0802E+01 1000 -1.4668E+01 54
//S23 6.7682E-10 1046 -6.3666E-10 2
//S31 2.0235E-10 48 -1.1497E-09 51
//SMS 6.0944E+01 1000 1.0198E-01 69
##### Local Summary @Element :Max/IdMax/Min/IdMin####
//E11 4.6311E-03 1024 -3.5443E-02 8
//E22 1.7091E-03 1031 -5.4262E-02 8
//E33 1.5903E-04 7 -1.6631E-05 101
//E12 1.8590E-02 1009 -2.6073E-02 14
//E23 1.5204E-13 1000 -4.1521E-13 16
//E31 1.3902E-13 5 -8.2391E-13 7
//S11 5.2516E+00 1024 -3.8099E+01 8
//S22 1.8872E+00 1031 -5.5262E+01 8
//S33 2.2824E-01 7 -1.8263E-02 101
//S12 9.8516E+00 1009 -1.3352E+01 14
//S23 7.8767E-11 1000 -2.1075E-10 16
//S31 7.7553E-11 5 -4.4780E-10 7
//SMS 4.9470E+01 8 2.4786E-01 1007
##### Global Summary @Node :Max/IdMax/Min/IdMin####
//U1 1.3079E-02 31 -4.1442E-02 54
//U2 4.9597E-03 1008 -3.0604E-01 69
//U3 0.0000E+00 1 0.0000E+00 1
//E11 7.1171E-03 1049 -4.7627E-02 1
//E22 2.0644E-03 1012 -5.3428E-02 50
//E33 9.3301E-03 50 -4.0103E-03 54
//E12 4.3231E-02 1000 -2.7666E-02 54
//E23 1.3028E-12 1046 -1.2515E-12 2
//E31 3.5660E-13 48 -2.1028E-12 51
//S11 7.9455E+00 1049 -4.9987E+01 1
//S22 2.2819E+00 1012 -5.3282E+01 50
//S33 1.1359E+01 50 -4.4937E+00 54
//S12 2.0802E+01 1000 -1.4668E+01 54
//S23 6.7682E-10 1046 -6.3666E-10 2
//S31 2.0235E-10 48 -1.1497E-09 51
//SMS 6.0944E+01 1000 1.0198E-01 69
##### Global Summary @Element :Max/IdMax/Min/IdMin####
//E11 4.6311E-03 1024 -3.5443E-02 8
//E22 1.7091E-03 1031 -5.4262E-02 8
//E33 1.5903E-04 7 -1.6631E-05 101
//E12 1.8590E-02 1009 -2.6073E-02 14
//E23 1.5204E-13 1000 -4.1521E-13 16
//E31 1.3902E-13 5 -8.2391E-13 7
//S11 5.2516E+00 1024 -3.8099E+01 8
//S22 1.8872E+00 1031 -5.5262E+01 8
//S33 2.2824E-01 7 -1.8263E-02 101
//S12 9.8516E+00 1009 -1.3352E+01 14
//S23 7.8767E-11 1000 -2.1075E-10 16
//S31 7.7553E-11 5 -4.4780E-10 7
//SMS 4.9470E+01 8 2.4786E-01 1007