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Nonlinear static analysis (hyperelasticity, Bahagi 1)

Ginagamit sa analysis na ito ang data ng tutorial/03_hyperelastic_cylinder.

Target ng analysis

Ang target ng analysis ay 1/8 model ng isang bilog na bar. Ipinapakita ang geometry sa Figure 4.3.1 at ang mesh data sa Figure 4.3.2.

Item Paglalarawan Mga tala Reference
Uri ng analysis Nonlinear static analysis (hyperelasticity) !SOLUTION,TYPE=NLSTATIC
Bilang ng node 629
Bilang ng element 432
Uri ng element 8-node linear hexahedral element !ELEMENT,TYPE=361
Pangalan ng material MAT1 !MATERIAL,NAME=MAT1
Mga katangian ng material HYPERELASTIC !HYPERELASTIC,TYPE=MOONEY-RIVLIN
Mga boundary condition Restraint, prescribed displacement
Solver ng matrix CG/SSOR !SOLVER,METHOD=CG,PRECOND=1

Hugis ng bilog na bar (1/8 model)

Figure 4.3.1: Hugis ng bilog na bar (1/8 model)

Mesh data ng bilog na bar (1/8 model)

Figure 4.3.2: Mesh data ng bilog na bar (1/8 model)

Nilalaman ng analysis

Nagsasagawa ng stress analysis sa pamamagitan ng paglalapat ng axial tensile displacement sa bilog na bar. Ginagamit ang Mooney-Rivlin model bilang constitutive model ng hyperelastic material. Ipinapakita sa ibaba ang analysis control data.

Data ng analysis control cylinder.cnt

#  Control File para sa FISTR
## Analysis Control
!VERSION
 3
!SOLUTION, TYPE=NLSTATIC
!WRITE,RESULT
!WRITE,VISUAL
## 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=5, CONVERG=1.0e-5
 BOUNDARY, 1
### Material
!MATERIAL, NAME=MAT1
!HYPERELASTIC, TYPE=MOONEY-RIVLIN
 0.1486, 0.4849, 0.0789
### Solver Setting
!SOLVER,METHOD=CG,PRECOND=1,ITERLOG=YES,TIMELOG=YES
 10000, 1
 1.0e-8, 1.0, 0.0
## Post Control
!VISUAL,method=PSR
!surface_num=1
!surface 1
!output_type=VTK
!END

Mga resulta ng analysis

Ipinapakita sa Figure 4.3.3 ang mga resulta ng ikalimang substep. Gumagawa ang REVOCAP_PrePost ng deformation diagram na may Mises stress contour. Ipinapakita sa ibaba ang bahagi ng analysis result log file bilang numerical data ng mga resulta ng analysis.

Mga resulta ng analysis ng deformation at Mises stress

Figure 4.3.3: Mga resulta ng analysis ng deformation at Mises stress

Log ng resulta ng analysis 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    0.0000E+00         1 -6.7543E-01        90
 //U2    0.0000E+00         1 -6.7543E-01        89
 //U3    0.0000E+00         1 -7.0000E+00        38
 //E11  -1.0781E-01        38 -1.1448E-01         7
 //E22  -1.0781E-01        50 -1.1448E-01        13
 //E33   2.3916E-01         7  2.2715E-01        50
 //E12   8.9609E-04        53 -9.2501E-04        10
 //E23   1.0074E-07        38 -2.6232E-03        86
 //E31   1.0074E-07        50 -2.6232E-03        93
 //S11   2.7292E-03        14 -2.6468E-03        49
 //S22   2.7292E-03         6 -2.6468E-03        39
 //S33   8.5422E-01         7  8.1021E-01        50
 //S12   1.2861E-03        53 -1.3373E-03        10
 //S23   1.4289E-07        38 -3.1695E-03        86
 //S31   1.4289E-07        50 -3.1695E-03        93
 //SMS   8.5307E-01         7  8.1134E-01        50
 ##### Local Summary @Element :Max/IdMax/Min/IdMin####
 //E11  -1.0817E-01       759 -1.1410E-01       354
 //E22  -1.0817E-01       768 -1.1410E-01       363
 //E33   2.3863E-01       354  2.2766E-01       759
 //E12   7.4078E-04       766 -7.5734E-04       360
 //E23  -2.5376E-05       753 -2.4790E-03       471
 //E31  -2.5376E-05       749 -2.4790E-03       462
 //S11   2.8994E-03       363 -2.8080E-03       768
 //S22   2.8994E-03       354 -2.8080E-03       759
 //S33   8.5295E-01       354  8.1143E-01       759
 //S12   1.0634E-03       766 -1.0947E-03       360
 //S23  -3.0682E-05       753 -2.9954E-03       471
 //S31  -3.0682E-05       749 -2.9954E-03       462
 //SMS   8.5118E-01       354  8.1315E-01       759
 ##### Global Summary @Node    :Max/IdMax/Min/IdMin####
 //U1    0.0000E+00         1 -6.7543E-01        90
 //U2    0.0000E+00         1 -6.7543E-01        89
 //U3    0.0000E+00         1 -7.0000E+00        38
 //E11  -1.0781E-01        38 -1.1448E-01         7
 //E22  -1.0781E-01        50 -1.1448E-01        13
 //E33   2.3916E-01         7  2.2715E-01        50
 //E12   8.9609E-04        53 -9.2501E-04        10
 //E23   1.0074E-07        38 -2.6232E-03        86
 //E31   1.0074E-07        50 -2.6232E-03        93
 //S11   2.7292E-03        14 -2.6468E-03        49
 //S22   2.7292E-03         6 -2.6468E-03        39
 //S33   8.5422E-01         7  8.1021E-01        50
 //S12   1.2861E-03        53 -1.3373E-03        10
 //S23   1.4289E-07        38 -3.1695E-03        86
 //S31   1.4289E-07        50 -3.1695E-03        93
 //SMS   8.5307E-01         7  8.1134E-01        50
 ##### Global Summary @Element :Max/IdMax/Min/IdMin####
 //E11  -1.0817E-01       759 -1.1410E-01       354
 //E22  -1.0817E-01       768 -1.1410E-01       363
 //E33   2.3863E-01       354  2.2766E-01       759
 //E12   7.4078E-04       766 -7.5734E-04       360
 //E23  -2.5376E-05       753 -2.4790E-03       471
 //E31  -2.5376E-05       749 -2.4790E-03       462
 //S11   2.8994E-03       363 -2.8080E-03       768
 //S22   2.8994E-03       354 -2.8080E-03       759
 //S33   8.5295E-01       354  8.1143E-01       759
 //S12   1.0634E-03       766 -1.0947E-03       360
 //S23  -3.0682E-05       753 -2.9954E-03       471
 //S31  -3.0682E-05       749 -2.9954E-03       462
 //SMS   8.5118E-01       354  8.1315E-01       759
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