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Analisis Statik Tak Linear (Elastoplastik, Bahagian 1)

Analisis ini menggunakan data dalam tutorial/05_plastic_cylinder.

Sasaran Analisis

Sasaran analisis ialah model 1/8 batang bulat yang sama seperti dalam Analisis Statik Tak Linear (Hiperanjal, Bahagian 1).

Item Kandungan Catatan Rujukan
Jenis analisis Analisis statik tak linear (elastoplastik) !SOLUTION,TYPE=NLSTATIC
Bilangan nod 629
Bilangan unsur 432
Jenis unsur Unsur heksahedron linear 8 nod !ELEMENT,TYPE=361
Nama bahan MAT1 !MATERIAL,NAME=MAT1
Sifat bahan ELASTIC,PLASTIC !ELASTIC !PLASTIC
Syarat sempadan Kekangan, sesaran ditetapkan
Penyelesai matriks CG/SSOR !SOLVER,METHOD=CG,PRECOND=1

Kandungan Analisis

Fenomena penyempitan (necking) batang bulat akibat ubah bentuk plastik dianalisis. Model Mises digunakan untuk fungsi luluh. Data kawalan analisis ditunjukkan di bawah.

Data kawalan analisis necking.cnt

#  Fail Kawalan untuk FISTR
## Kawalan Analisis
!VERSION
 3
!SOLUTION, TYPE=NLSTATIC
!WRITE,RESULT,FREQUENCY=10
!WRITE,VISUAL,FREQUENCY=10
## Kawalan Penyelesai
### Syarat Sempadan
!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
### Bahan
!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
### Tetapan Penyelesai
!SOLVER,METHOD=CG,PRECOND=1,ITERLOG=NO,TIMELOG=YES
 2000, 1
 1.0e-8, 1.0, 0.0
## Kawalan Pascapemprosesan
!VISUAL,method=PSR
!surface_num=1
!surface 1
!output_type=VTK
!END

Prosedur Analisis

Jalankan perintah pelaksanaan FrontISTR fistr1.

cd FrontISTR/tutorial/05_plastic_cylinder
fistr1 -t 4

(Dijalankan dengan 4 bebenang)

Hasil Analisis

Bagi hasil analisis sublangkah ke-35, rajah ubah bentuk dengan kontur tegasan von Mises dihasilkan menggunakan REVOCAP_PrePost dan ditunjukkan dalam Rajah 4.5.1. Sebagai data berangka hasil analisis, sebahagian fail log hasil analisis turut ditunjukkan di bawah.

Hasil analisis ubah bentuk dan tegasan von Mises

Rajah 4.5.1 Hasil analisis ubah bentuk dan tegasan von 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=    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