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Analisis Statik Nonlinear (Hiperelastisitas 1)

Analisis ini menggunakan data tutorial/03_hyperelastic_cylinder.

Objek Analisis

Objek analisis adalah model 1/8 batang bulat; geometri ditunjukkan pada Gambar 4.3.1 dan data mesh pada Gambar 4.3.2.

Item Deskripsi Catatan Referensi
Jenis analisis Analisis statik nonlinear (hiperelastisitas) !SOLUTION,TYPE=NLSTATIC
Jumlah node 629
Jumlah elemen 432
Jenis elemen Elemen heksahedral linier 8-node !ELEMENT,TYPE=361
Nama material MAT1 !MATERIAL,NAME=MAT1
Sifat material HYPERELASTIC !HYPERELASTIC,TYPE=MOONEY-RIVLIN
Kondisi batas Pengekangan, perpindahan yang ditentukan
Solver matriks CG/SSOR !SOLVER,METHOD=CG,PRECOND=1

Bentuk batang bulat (model 1/8)

Gambar 4.3.1 Bentuk batang bulat (model 1/8)

Data mesh batang bulat (model 1/8)

Gambar 4.3.2 Data mesh batang bulat (model 1/8)

Rincian Analisis

Analisis tegangan dilakukan dengan memberikan perpindahan tarik aksial pada batang bulat. Model Mooney-Rivlin digunakan sebagai persamaan konstitutif material hiperelastik. Data kontrol analisis ditunjukkan di bawah ini.

Data Kontrol Analisis cylinder.cnt

#  File Kontrol untuk FISTR
## Kontrol Analisis
!VERSION
 3
!SOLUTION, TYPE=NLSTATIC
!WRITE,RESULT
!WRITE,VISUAL
## Kontrol Solver
### Kondisi Batas
!BOUNDARY, GRPID=1
 LOADS, 3, 3, -7.0
 FIX,   3, 3, 0.0
 XSYMM, 1, 1, 0.0
 YSYMM, 2, 2, 0.0
### Langkah
!STEP, SUBSTEPS=5, CONVERG=1.0e-5
 BOUNDARY, 1
### Material
!MATERIAL, NAME=MAT1
!HYPERELASTIC, TYPE=MOONEY-RIVLIN
 0.1486, 0.4849, 0.0789
### Pengaturan Solver
!SOLVER,METHOD=CG,PRECOND=1,ITERLOG=YES,TIMELOG=YES
 10000, 1
 1.0e-8, 1.0, 0.0
## Kontrol Pascaproses
!VISUAL,method=PSR
!surface_num=1
!surface 1
!output_type=VTK
!END

Hasil Analisis

Untuk hasil analisis pada sublangkah ke-5, diagram deformasi dengan kontur tegangan Mises dibuat menggunakan REVOCAP_PrePost dan ditunjukkan pada Gambar 4.3.3. Sebagai data numerik hasil analisis, sebagian file log hasil analisis ditunjukkan di bawah ini.

Hasil analisis deformasi dan tegangan Mises

Gambar 4.3.3 Hasil analisis deformasi dan tegangan Mises

Log Hasil Analisis 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