Linear Static Analysis (Elasticity)¶
This analysis uses the data in tutorial/01_elastic_hinge.
Analysis Target¶
The analysis target is a hinge part. Its geometry is shown in Figure 4.1.1, and the mesh data are shown in Figure 4.1.2.
| Item | Description | Notes | Reference |
|---|---|---|---|
| Analysis type | Linear static analysis | !SOLUTION,TYPE=STATIC | |
| Number of nodes | 84,056 | ||
| Number of elements | 49,871 | ||
| Element type | 10-node quadratic tetrahedral element | !ELEMENT,TYPE=342 | Element Library |
| Material property name | STEEL | !MATERIAL,NAME=STEEL | Material Data |
| Material behavior | ELASTIC | !ELASTIC | |
| Boundary conditions | Constraints, concentrated load | ||
| Matrix solver | CG/SSOR | !SOLVER,METHOD=CG,PRECOND=1 |
Figure 4.1.1 Geometry of the hinge part
Figure 4.1.2 Mesh data of the hinge part
Analysis Description¶
Extract the FrontISTR source code, move to the directory for this example, and confirm that the files required for the analysis
| File name | Type | Role |
|---|---|---|
hecmw_ctrl.dat |
Overall control data | Specifies the input/output files for mesh data and analysis control data |
hinge.cnt |
Analysis control data | Defines the analysis type, displacement boundary conditions, concentrated loads, etc., and specifies solver and visualizer control |
hinge.msh |
Mesh data | Defines the finite element mesh, material data, and section data |
are present.
Output:
A stress analysis is performed by constraining the displacement of the constrained surfaces shown in Figure 4.1.1 and applying a concentrated load to the loading surface. The overall control data and analysis control data are shown below.
Overall Control Data hecmw_ctrl.dat¶
Specifies the input/output files for mesh data and analysis control data.
#
# for solver
#
!MESH, NAME=fstrMSH, TYPE=HECMW-ENTIRE # Specify single mesh data
hinge.msh
!CONTROL, NAME=fstrCNT # Specify analysis control data
hinge.cnt
!RESULT, NAME=fstrRES, IO=OUT # Specify result data
hinge.res
!RESULT, NAME=vis_out, IO=OUT # Specify visualization data
hinge_vis
Analysis Control Data hinge.cnt¶
Defines the analysis type, displacement boundary conditions, concentrated loads, etc., and also specifies solver and visualizer control.
# Control File for FISTR
## Analysis Control
!VERSION # Specify the file-format version
3
!SOLUTION, TYPE=STATIC # Specify the analysis type
!WRITE,RESULT # Specify result-data output
!WRITE,VISUAL # Specify visualization-data output
## Solver Control
### Boundary Conditon
!BOUNDARY
BND0, 1, 3, 0.000000 # Specify constrained surface 1
!BOUNDARY
BND1, 1, 3, 0.000000 # Specify constrained surface 2
!CLOAD
CL0, 1, 0.01000 # Specify the loading surface
### Material
!MATERIAL, NAME=STEEL # Specify material properties
!ELASTIC # Define elastic material
210000.0, 0.3
!DENSITY # Define mass density
7.85e-6
### Solver Setting
!SOLVER,METHOD=CG,PRECOND=1,ITERLOG=YES,TIMELOG=YES # Solver control
10000, 1
1.0e-08, 1.0, 0.0
## Post Control
!VISUAL,metod=PSR # Specify the visualization method
!surface_num=1 # Number of surfaces in one surface rendering
!surface 1 # Specify the surface contents
!output_type=VTK # Specify the visualization file type
!END # Indicates the end of the analysis control data
Mesh Data¶
Defines the finite element mesh and its material and section data.
(Excerpt)
!HEADER
HECMW_Msh File generated by REVOCAP
!NODE
1, -1.22042, 2.23355, 1.65220
2, -1.27050, -3.10529, 1.59209
...
!ELEMENT, TYPE=342
1, 1157, 3549, 3321, 3739, 12629, 12627, 12626, 12628, 12631, 12630
2, 8207, 3321, 3549, 3739, 12629, 12633, 12632, 12634, 12630, 12631
...
!MATERIAL, NAME=STEEL, ITEM=2
!ITEM=1, SUBITEM=2
210000.0, 0.3
!ITEM=2, SUBITEM=1
7.85e-6
!SECTION, TYPE=SOLID, EGRP=Solid0, MATERIAL=STEEL
!EGROUP, EGRP=Solid0
1
2
...
!END
Analysis Procedure¶
Run the FrontISTR execution command fistr1.
(Run with 4 threads)
##################################################################
# FrontISTR
#
##################################################################
---
version: 5.1.0
git_hash: acab000c8c633b7b9d596424769e14363f720841
build:
date: 2020-10-05T07:39:55Z
MPI: enabled
OpenMP: enabled
option: "-p --with-tools --with-refiner --with-metis --with-mumps --with-lapack --with-ml --with-mkl "
HECMW_METIS_VER: 5
execute:
date: 2020-10-07T10:01:16+0900
processes: 1
threads: 4
cores: 4
host:
0: flow-p06
---
...
Step control not defined! Using default step=1
fstr_setup: OK
Start visualize PSF 1 at timestep 0
loading step= 1
sub_step= 1, current_time= 0.0000E+00, time_inc= 0.1000E+01
loading_factor= 0.0000000 1.0000000
### 3x3 BLOCK CG, SSOR, 1
1 1.903375E+00
2 1.974378E+00
3 2.534627E+00
...
...
2967 1.080216E-08
2968 1.004317E-08
2969 9.375729E-09
### Relative residual = 9.39429E-09
### summary of linear solver
2969 iterations 9.394286E-09
set-up time : 1.953022E-01
solver time : 5.704201E+01
solver/comm time : 5.145826E-01
solver/matvec : 2.306329E+01
solver/precond : 2.632665E+01
solver/1 iter : 1.921253E-02
work ratio (%) : 9.909789E+01
Start visualize PSF 1 at timestep 1
### FSTR_SOLVE_NLGEOM FINISHED!
====================================
TOTAL TIME (sec) : 59.99
pre (sec) : 0.71
solve (sec) : 59.29
====================================
FrontISTR Completed !!
The analysis is complete when FrontISTR Completed !! is displayed.
Analysis Results¶
When the analysis is complete, several new files are created.
Output:
0.log hecmw_ctrl.dat hinge.res.0.0 hinge_vis_psf.0001
FSTR.dbg.0 hecmw_vis.ini hinge.res.0.1 hinge_vis_psf.0001.pvtu
FSTR.msg hinge.cnt hinge_vis_psf.0000
FSTR.sta hinge.msh hinge_vis_psf.0000.pvtu
*.res.* files are result data containing the FrontISTR analysis results. They can be displayed with REVOCAP_PrePost and similar tools.
*_vis_* files are visualization data and can be displayed with general-purpose visualization software. In this example, the output is in VTK format, so it can be displayed with ParaView or similar software.
A von Mises stress contour plot created with REVOCAP_PrePost is shown in Figure 4.1.3. In addition, part of the analysis result log file is shown below as numerical data from the analysis results.
Figure 4.1.3 Von Mises stress analysis result
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= 1
##### Local Summary @Node :Max/IdMax/Min/IdMin####
//U1 3.9115E-02 82452 -7.1083E-04 65233
//U2 7.4504E-05 354 -5.8813E-04 696
//U3 5.9493E-04 84 -5.8751E-03 61080
//E11 1.3777E-03 130 -1.3653E-03 77625
//E22 4.9199E-04 61 -5.4370E-04 102
//E33 6.8634E-04 51036 -6.1176E-04 30070
//E12 7.1556E-04 27808 -6.8093E-04 27863
//E23 5.3666E-04 56 -5.4347E-04 82
//E31 7.2396E-04 36168 -9.6621E-04 130
//S11 3.8626E+02 130 -3.6387E+02 28580
//S22 1.6628E+02 130 -1.5743E+02 28580
//S33 1.6502E+02 30033 -1.5643E+02 28580
//S12 5.7795E+01 27808 -5.4998E+01 27863
//S23 4.3345E+01 56 -4.3896E+01 82
//S31 5.8474E+01 36168 -7.8040E+01 130
//SMS 2.8195E+02 77625 1.2755E-02 75112
##### Local Summary @Element :Max/IdMax/Min/IdMin####
//E11 1.0731E-03 10485 -1.2123E-03 41779
//E22 3.9143E-04 33536 -4.1389E-04 22892
//E33 5.9415E-04 44563 -5.0497E-04 47965
//E12 5.3264E-04 9163 -5.0405E-04 9161
//E23 3.9226E-04 33024 -4.1464E-04 23465
//E31 5.7633E-04 43142 -4.8019E-04 9571
//S11 2.7231E+02 9180 -2.9763E+02 41779
//S22 1.0792E+02 9180 -1.0656E+02 41779
//S33 1.3921E+02 44569 -1.1431E+02 47974
//S12 4.3021E+01 9163 -4.0712E+01 9161
//S23 3.1683E+01 33024 -3.3490E+01 23465
//S31 4.6550E+01 43142 -3.8785E+01 9571
//SMS 2.4057E+02 41779 3.1383E-02 38687
##### Global Summary @Node :Max/IdMax/Min/IdMin####
//U1 3.9115E-02 82452 -7.1083E-04 65233
//U2 7.4504E-05 354 -5.8813E-04 696
//U3 5.9493E-04 84 -5.8751E-03 61080
//E11 1.3777E-03 130 -1.3653E-03 77625
//E22 4.9199E-04 61 -5.4370E-04 102
//E33 6.8634E-04 51036 -6.1176E-04 30070
//E12 7.1556E-04 27808 -6.8093E-04 27863
//E23 5.3666E-04 56 -5.4347E-04 82
//E31 7.2396E-04 36168 -9.6621E-04 130
//S11 3.8626E+02 130 -3.6387E+02 28580
//S22 1.6628E+02 130 -1.5743E+02 28580
//S33 1.6502E+02 30033 -1.5643E+02 28580
//S12 5.7795E+01 27808 -5.4998E+01 27863
//S23 4.3345E+01 56 -4.3896E+01 82
//S31 5.8474E+01 36168 -7.8040E+01 130
//SMS 2.8195E+02 77625 1.2755E-02 75112
##### Global Summary @Element :Max/IdMax/Min/IdMin####
//E11 1.0731E-03 10485 -1.2123E-03 41779
//E22 3.9143E-04 33536 -4.1389E-04 22892
//E33 5.9415E-04 44563 -5.0497E-04 47965
//E12 5.3264E-04 9163 -5.0405E-04 9161
//E23 3.9226E-04 33024 -4.1464E-04 23465
//E31 5.7633E-04 43142 -4.8019E-04 9571
//S11 2.7231E+02 9180 -2.9763E+02 41779
//S22 1.0792E+02 9180 -1.0656E+02 41779
//S33 1.3921E+02 44569 -1.1431E+02 47974
//S12 4.3021E+01 9163 -4.0712E+01 9161
//S23 3.1683E+01 33024 -3.3490E+01 23465
//S31 4.6550E+01 43142 -3.8785E+01 9571
//SMS 2.4057E+02 41779 3.1383E-02 38687