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41 KiB

60.000000E 000.000000E 00
70.000000E 000.000000E 00
80.000000E 000.000000E 00
90.000000E 000.000000E 00
100.000000E 000.000000E 00
CONVERGENCE CODE =1NORM OF RESIDUAL SUM RATIO = 0.706275E 02
CONVERGENCE CODE =1NORM OF RESIDUAL SUM RATIO = 0.393376E 02
CONVERGENCE CODE =1NORM OF RESIDUAL SUM RATIO = 0.983804E 01
CONVERGENCE CODE =1NORM OF RESIDUAL SUM RATIO = 0.801219E 01
CONVERGENCE CODE =1NORM OF RESIDUAL SUM RATIO = 0.472308E 01
CONVERGENCE CODE =1NORM OF RESIDUAL SUM RATIO = 0.127390E 01
CONVERGENCE CODE =1NORM OF RESIDUAL SUM RATIO = 0.974302E 00
CONVERGENCE CODE =1NORM OF RESIDUAL SUM RATIO = 0.574815E 00
CONVERGENCE CODE =0NORM OF RESIDUAL SUM RATIO = 0.153335E 00
NODEDISPL.REACTIONS
10.000000E 00-0.600000E 01
20.260555E 000.000000E 00
30.399999E 000.000000E 00
40.508276E 000.000000E 00
50.599999E 000.000000E 00
60.681025E 000.000000E 00
70.754400E 000.000000E 00
80.821954E 000.000000E 00
90.884886E 000.000000E 00
100.944031E 000.000000E 00
110.100000E 010.600000E 01
ELEMENTSTRESSESPL.STRAIN
10.000000E 000.000000E 00
20.000000E 000.000000E 00
30.000000E 000.000000E 00
40.000000E 000.000000E 00
50.000000E 000.000000E 00
60.000000E 000.000000E 00
70.000000E 000.000000E 00
80.000000E 000.000000E 00
90.000000E 000.000000E 00
100.000000E 000.000000E 00

A.4.2 Solution of one-dimensional elasto-plastic problem. Example of Section 3.12.3, Fig. 3.9

Input data

1-D ELASTO-PLASTIC EXAMPLE, SECTION 3.12.3,FIG. 3.9
111022421631
110000.01.05.01000.0
210000.02.07.52000.0
1121
2231
3341
4451
5561
6672
7782
8892
99102
1010112
10.0
21.0
32.0
43.0
54.0
65.0
74.0
83.0
92.0
101.0
110.0
110.0
1110.0
50.010.0
100.00.0
3021.250.5
3020.250.5
3020.250.5
3020.250.5
3020.250.5
3020.250.5
302-3.50.5
302-0.250.5
302-0.250.5
302-0.250.5
302-0.250.5
302-0.250.5
302-0.250.5
312-0.250.5
302-0.250.5
302-0.250.5
302-0.250.5

Line printer output

1-D ELASTO-PLASTIC EXAMPLE, SECTION 3.12.3,FIG. 3.9
NPOIN = 11NELEM = 10NBOUN = 2NMATS = 2
NPROP = 4NNODE = 2NINCS = 16NALGO = 3
NDOFN = 1
MATERIAL PROPERTIES
110000.000001.000005.000001000.00000
210000.000002.000007.500002000.00000
ELNODESMAT.
1121
2231
3341
4451
5561
6672
7782
8892
99102
1010112
NODECOORD.
10.00000
21.00000
32.00000
43.00000
54.00000
65.00000
74.00000
83.00000
92.00000
101.00000
110.00000
RES.NODECODEPRES.VALUES
110.00000
1110.00000
ELEMENTNODAL LOADS
10.000000.00000
20.000000.00000
30.000000.00000
40.000000.00000
50.0000010.00000
60.000000.00000
70.000000.00000
80.000000.00000
90.000000.00000
100.000000.00000
IINCS = 1 NITER = 30 NOUTP = 2 FACTO = 0.125000E 01 TOLER = 0.500000E 00
ITERATION NUMBER = 1
CONVERGENCE CODE = 0 NORM OF RESIDUAL SUM RATIO = 0.629197E-08
NODEDISPL.REACTIONS
10.000000E 00-0.416667E 01
20.416667E-030.000000E 00
30.833333E-030.000000E 00
40.125000E-020.000000E 00
50.166667E-020.000000E 00
60.208333E-020.000000E 00
70.166667E-020.000000E 00
80.125000E-020.000000E 00
90.833333E-030.000000E 00
100.416667E-030.000000E 00
110.000000E 00-0.833333E 01
ELEMENTSTRESSESPL.STRAIN
10.416667E 010.000000E 00
20.416667E 010.000000E 00
30.416667E 010.000000E 00
40.416667E 010.000000E 00
50.416667E 010.000000E 00
60.416667E 010.000000E 00
70.416667E 010.000000E 00
80.416667E 010.000000E 00
90.416667E 010.000000E 00
100.416667E 010.000000E 00
....
....
....
....
IINCS = 3 NITER = 30 NOUTP = 2 FACTO = 0.250000E 00 TOLER = 0.500000E 00
ITERATION NUMBER = 1
CONVERGENCE CODE = 1 NORM OF RESIDUAL SUM RATIO = 0.490863E 01
NODEDISPL.REACTIONS
10.000000E 00-0.583333E 01
20.583333E-030.000000E 00
30.116667E-020.000000E 00
40.175000E-020.000000E 00
50.233333E-020.000000E 00
60.291667E-020.000000E 00
70.233333E-020.000000E 00
80.175000E-020.000000E 00
90.116667E-020.000000E 00
100.583333E-030.000000E 00
110.000000E 00-0.116667E 02
ELEMENTSTRESSESPL.STRAIN
10.507576E 010.757576E-04
20.507576E 010.757576E-04
30.507576E 010.757576E-04
40.507576E 010.757576E-04
5 0.507576E 01 0.757576E-04
6 0.583333E 01 0.000000E 00
7 0.583333E 01 0.000000E 00
8 0.583333E 01 0.000000E 00
9 0.583333E 01 0.000000E 00
10 0.583333E 01 0.000000E 00
ITERATION NUMBER = 2
CONVERGENCE CODE = 1 NORM OF RESIDUAL SUM RATIO = 0.147757E 01
NODE DISPL. REACTIONS
1 0.000000E 00 -0.532828E 01
2 0.608586E-03 0.000000E 00
3 0.121717E-02 0.000000E 00
4 0.182576E-02 0.000000E 00
5 0.243434E-02 0.000000E 00
6 0.304293E-02 0.000000E 00
7 0.243434E-02 0.000000E 00
8 0.182576E-02 0.000000E 00
9 0.121717E-02 0.000000E 00
10 0.608586E-03 0.000000E 00
11 0.000000E 00 -0.121717E 02
ELEMENT STRESSES PL.STRAIN
1 0.509871E 01 0.987144E-04
2 0.509871E 01 0.987144E-04
3 0.509871E 01 0.987144E-04
4 0.509871E 01 0.987144E-04
5 0.509871E 01 0.987144E-04
6 0.608586E 01 0.000000E 00
7 0.608586E 01 0.000000E 00
8 0.608586E 01 0.000000E 00
9 0.608586E 01 0.000000E 00
10 0.608586E 01 0.000000E 00
ITERATION NUMBER = 3
CONVERGENCE CODE = 0 NORM OF RESIDUAL SUM RATIO = 0.446758E 00
NODE DISPL. REACTIONS
1 0.000000E 00 -0.517524E 01
2 0.616238E-03 0.000000E 00
3 0.123248E-02 0.000000E 00
4 0.184871E-02 0.000000E 00
5 0.246495E-02 0.000000E 00
6 0.308119E-02 0.000000E 00
7 0.246495E-02 0.000000E 00
8 0.184871E-02 0.000000E 00
9 0.123248E-02 0.000000E 00
10 0.616238E-03 0.000000E 00
11 0.000000E 00 -0.123248E 02
ELEMENT STRESSES PL.STRAIN
1 0.510567E 01 0.105671E-03
2 0.510567E 01 0.105671E-03
3 0.510567E 01 0.105671E-03
4 0.510567E 01 0.105671E-03
5 0.510567E 01 0.105671E-03
6 0.616238E 01 0.000000E 00
7 0.616238E 01 0.000000E 00
8 0.616238E 01 0.000000E 00
9 0.616238E 01 0.000000E 00
10 0.616238E 01 0.000000E 00
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . etc. 

A.4.3 Solution of one-dimensional elasto-viscoplastic problem. Example of Section 4.12, Fig. 4.6

Input data

1-D ELASTO VISCO-PLASTIC EXAMPLE, SECTION 4.12, FIG. 4.6
2 1 1 1 5 2 1 3 1
1 10000.0 1.0 10.0 5000.0 0.001
1 1 2 1
1 0.0
2 10.0
1 1 0.0
1 0.0 15.0
0.05 0.025 1.5
90 2 1.0 0.1 

Line printer output

1-D ELASTO VISCO-PLASTIC EXAMPLE, SECTION 4.12, FIG. 4.6
NPOIN = 2 NELEM = 1 NBOUN = 1 NMATS = 1
NPROP = 5 NNODE = 2 NINCS = 1 NALGO = 3
NDOFN = 1
MATERIAL PROPERTIES
1 10000.00000 1.00000 10.00000 5000.00000 0.00100
EL NODES MAT.
1 1 2 1
NODE COORD.
1 0.00000
2 10.00000
RES.NODE CODE PRES.VALUES
1 1 0.00000
ELEMENT NODAL LOADS
1 0.00000 15.00000
TAUFT = 0.500000E-01 DTINT = 0.250000E-01 FTIME = 0.150000E 01
IINCS = 1 NSTEP = 90 NOUTP = 2 FACTO = 0.100000E 01 TOLER = 0.100000E 00
TOTAL TIME = 0.000000E 00
CONVERGENCE CODE = 999 NORM OF RESIDUAL SUM RATIO = 0.100000E 03
NODE DISPL. REACTIONS
1 0.000000E 00 -0.150000E 02
2 0.150000E-01 0.000000E 00
ELEMENT STRESSES PL.STRAIN
1 0.150000E 02 0.000000E 00
TOTAL TIME = 0.250000E-01
CONVERGENCE CODE = 1 NORM OF RESIDUAL SUM RATIO = 0.650000E 02
NODE DISPL. REACTIONS
1 0.000000E 00 -0.150000E 02
2 0.162500E-01 0.000000E 00
ELEMENT STRESSES PL.STRAIN
1 0.150000E 02 0.125000E-03
TOTAL TIME = 0.435714E-01
CONVERGENCE CODE = 999 NORM OF RESIDUAL SUM RATIO = 0.682500E 02
NODE DISPL. REACTIONS
1 0.000000E 00 -0.150000E 02
2 0.170625E-01 0.000000E 00
ELEMENT STRESSES PL.STRAIN
1 0.150000E 02 0.206250E-03
TOTAL TIME = 0.650675E-01
CONVERGENCE CODE = 999 NORM OF RESIDUAL SUM RATIO = 0.716625E 02
NODE DISPL. REACTIONS
1 0.000000E 00 -0.150000E 02
2 0.179156E-01 0.000000E 00 
ELEMENT STRESSES PL.STRAIN
1 0.150000E 02 0.291562E-03
TOTAL TIME = 0.903564E-01
CONVERGENCE CODE = 999 NORM OF RESIDUAL SUM RATIO = 0.752456E 02
NODE DISPL. REACTIONS
1 0.000000E 00 -0.150000E 02
2 0.188114E-01 0.000000E 00
ELEMENT STRESSES PL.STRAIN
1 0.150000E 02 0.381141E-03
TOTAL TIME = 0.120753E 00
CONVERGENCE CODE = 999 NORM OF RESIDUAL SUM RATIO = 0.790079E 02
NODE DISPL. REACTIONS
1 0.000000E 00 -0.150000E 02
2 0.197520E-01 0.000000E 00
ELEMENT STRESSES PL.STRAIN
1 0.150000E 02 0.475198E-03
TOTAL TIME = 0.158390E 00
CONVERGENCE CODE = 999 NORM OF RESIDUAL SUM RATIO = 0.829583E 02
NODE DISPL. REACTIONS
1 0.000000E 00 -0.150000E 02
2 0.207396E-01 0.000000E 00
ELEMENT STRESSES PL.STRAIN
1 0.150000E 02 0.573958E-03
TOTAL TIME = 0.207070E 00
CONVERGENCE CODE = 999 NORM OF RESIDUAL SUM RATIO = 0.871062E 02
NODE DISPL. REACTIONS
1 0.000000E 00 -0.150000E 02
2 0.217766E-01 0.000000E 00
ELEMENT STRESSES PL.STRAIN
1 0.150000E 02 0.677655E-03
TOTAL TIME = 0.274627E 00
CONVERGENCE CODE = 1 NORM OF RESIDUAL SUM RATIO = 0.865247E 02
NODE DISPL. REACTIONS
1 0.000000E 00 -0.150000E 02
2 0.228654E-01 0.000000E 00
ELEMENT STRESSES PL.STRAIN
1 0.150000E 02 0.786538E-03
TOTAL TIME = 0.375962E 00
CONVERGENCE CODE = 1 NORM OF RESIDUAL SUM RATIO = 0.640271E 02
NODE DISPL. REACTIONS
1 0.000000E 00 -0.150000E 02
2 0.239469E-01 0.000000E 00
ELEMENT STRESSES PL.STRAIN
1 0.150000E 02 0.894694E-03
TOTAL TIME = 0.527964E 00
CONVERGENCE CODE = 1 NORM OF RESIDUAL SUM RATIO = 0.230485E 02
NODE DISPL. REACTIONS
1 0.000000E 00 -0.150000E 02
2 0.247473E-01 0.000000E 00
ELEMENT STRESSES PL.STRAIN
1 0.150000E 02 0.974728E-03
TOTAL TIME = 0.755969E 00
CONVERGENCE CODE = 0 NORM OF RESIDUAL SUM RATIO = 0.000000E 00
NODE DISPL. REACTIONS
1 0.000000E 00 -0.150000E 02
2 0.250354E-01 0.000000E 00
ELEMENT STRESSES PL.STRAIN
1 0.150000E 02 0.100354E-02 

A.4.4 Solution of elasto-plastic layered Timoshenko beam. Example of Section 5.5.6, Fig. 5.11

Input data

1-DEPTIMOSHENKOLAYEREDBEAMEXAMPLE,SECTION 5.5.6,FIG. 5.11
11102117214226
1
210.053.84440.250000.0
200.0200.020.010.0
40.010.040.010.0
40.010.040.0200.0
20.0
1121
2231
3341
4451
5561
6671
7781
8891
99101
1010111
10.0
2300.0
3600.0
4900.0
51200.0
61500.0
71800.0
82100.0
92400.0
102700.0
113000.0
110.010.0
1110.010.0
168.850000.0000068.850000.00000
268.850000.0000068.850000.00000
368.850000.0000068.850000.00000
468.850000.0000068.850000.00000
568.850000.0000068.850000.00000
668.850000.0000068.850000.00000
768.850000.0000068.850000.00000
868.850000.0000068.850000.00000
968.850000.0000068.850000.00000
1068.850000.0000068.850000.00000
10020.300.50
10020.200.50
10020.100.50
10020.100.50
10020.050.50
10020.050.50
10020.050.50
10020.050.50
10020.050,50
10020.020.50
10020.020.50
10020.020.50
10020.020.50
10020.010.50
10020.010.50

Line printer output
1-D EP TIMOSHENKO LAYERED BEAM EXAMPLE, SECTION 5.5.6, FIG. 5.11

NPOIN =11NELEM =10NBOUN =2NMATS =1
NPROP =17NNODE =2NINCS =14NALGO =2

NDOFN = 2 NLAYR = 6 MATERIAL PROPERTIES

210.0000053.844400.250000.00000
200.00000200.0000020.0000010.00000
40.0000010.0000040.0000010.00000
40.0000010.0000040.00000200.00000
20.00000
ELNODESMAT.
1121
2231
3341
4451
5561
6671
7781
8891
99101
1010111
NODECOORD.
10.00000
2300.00000
3600.00000
4900.00000
51200.00000
61500.00000
71800.00000
82100.00000
92400.00000
102700.00000
113000.00000
RES.NODECODEPRES.VALUESCODEPRES.VALUES
110.0000010.00000
1110.0000010.00000
ELEMENTNODAL LOADS
168.850000.0000068.850000.00000
268.850000.0000068.850000.00000
368.850000.0000068.850000.00000
468.850000.0000068.850000.00000
568.850000.0000068.850000.00000
668.850000.0000068.850000.00000
768.850000.0000068.850000.00000
868.850000.0000068.850000.00000
968.850000.0000068.850000.00000
1068.850000.0000068.850000.00000
IINCS =1NITER = 100NOUTP =2FACTO = 0.300000E 00TOLER = 0.500000E 00

ITERATION NUMBER = 1

CONVERGENCE CODE = 0 NORM OF RESIDUAL SUM RATIO = 0.113611E-07 NODE DISPLACEMENTS REACTIONS

10.000000E 00-0.206550E 030.000000E 00-0.102242E 06
20.342210E 000.000000E 000.156214E-020.000000E 00
30.972874E 000.000000E 000.208286E-020.000000E 00
40.161862E 010.000000E 000.182250E-020.000000E 00
50.208417E 010.000000E 000.104143E-020.000000E 00
60.225237E 010.000000E 00-0.255548E-120.000000E 00
70.208417E 010.000000E 00-0.104143E-020.000000E 00
80.161862E 010.000000E 00-0.182250E-020.000000E 00
90.972874E 000.000000E 00-0.208286E-020.000000E 00
100.342210E 000.000000E 00-0.156214E-020.000000E 00
110.000000E 00-0.206550E 030.000000E 000.102242E 06

ELEMENT STRESSES

1-0.743580E050.185895E03
2-0.247860E050.144585E03
30.123930E050.103275E03
40.371790E050.619650E02
50.495720E050.206550E02
60.495720E05-0.206550E02
70.371790E05-0.619650E02
80.123930E05-0.103275E03
9-0.247860E05-0.144585E03
10-0.743580E05-0.185895E03
....
....
....
....

IINCS = 6 NITER = 100 NOUTP = 2 FACTO = 0.500000E-01 TOLER = 0.500000E 00

ITERATION NUMBER = 1

CONVERGENCE CODE = 1 NORM OF RESIDUAL SUM RATIO = 0.464588E 01

NODE DISPLACEMENTS REACTIONS

10.000000E 00-0.550800E 030.000000E 00-0.272646E 06
20.912561E 000.000000E 000.416571E-020.000000E 00
30.259433E 010.000000E 000.555429E-020.000000E 00
40.431631E 010.000000E 000.486000E-020.000000E 00
50.555778E 010.000000E 000.277714E-020.000000E 00
60.600632E 010.000000E 00-0.645258E-130.000000E 00
70.555778E 010.000000E 00-0.277714E-020.000000E 00
80.431631E 010.000000E 00-0.486000E-020.000000E 00
90.259433E 010.000000E 00-0.555429E-020.000000E 00
100.912561E 000.000000E 00-0.416571E-020.000000E 00
110.000000E 00-0.550800E 030.000000E 000.272646E 06

ELEMENT STRESSES

1-0.189331E060.495720E03
2-0.660960E050.385560E03
30.330480E050.275400E03
40.991440E050.165240E03
50.132192E060.550800E02
60.132192E06-0.550800E02
70.991440E05-0.165240E03
80.330480E05-0.275400E03
9-0.660960E05-0.385560E03
10-0.189331E06-0.495720E03

ITERATION NUMBER = 2

CONVERGENCE CODE = 0 NORM OF RESIDUAL SUM RATIO = 0.210144E-08

NODE DISPLACEMENTS REACTIONS

10.000000E 00-0.550800E 030.000000E 00-0.265108E 06
20.100758E 010.000000E 000.479915E-020.000000E 00
30.285562E 010.000000E 000.602936E-020.000000E 00
40.469637E 010.000000E 000.517672E-020.000000E 00
50.600911E 010.000000E 000.293550E-020.000000E 00
60.648140E 010.000000E 00-0.118097E-120.000000E 00
70.600911E 010.000000E 00-0.293550E-020.000000E 00
80.469637E 010.000000E 00-0.517672E-020.000000E 00
90.285562E 010.000000E 00-0.602936E-020.000000E 00

FINITE ELEMENTS IN PLASTICITY

100.100758E 010.000000E 00-0.479915E-020.000000E 00
110.000000E 00-0.550800E 030.000000E 000.265108E 06
ELEMENTSTRESSES
1-0.190750E 060.495720E 03
2-0.585581E 050.385560E 03
30.405859E 050.275400E 03
40.106682E 060.165240E 03
50.139730E 060.550800E 02
60.139730E 06-0.550800E 02
70.106682E 06-0.165240E 03
80.405859E 05-0.275400E 03
9-0.585581E 05-0.385560E 03
10-0.190750E 06-0.495720E 03
...
...
...
...
IINCS = 11 NITER = 100 NOUTP = 2 FACTO = 0.200000E-01 TOLER = 0.500000E 00
ITERATION NUMBER = 1
CONVERGENCE CODE = 1 NORM OF RESIDUAL SUM RATIO = 0.149229E 01
NODEDISPLACEMENTSREACTIONS
10.000000E 00-0.660960E 030.000000E 00-0.287981E 06
20.486620E 010.000000E 000.301397E-010.000000E 00
30.143031E 020.000000E 000.309826E-010.000000E 00
40.235411E 020.000000E 000.293260E-010.000000E 00
50.319556E 020.000000E 000.260032E-010.000000E 00
60.358944E 020.000000E 000.210285E-090.000000E 00
70.319556E 020.000000E 00-0.260032E-010.000000E 00
80.235411E 020.000000E 00-0.293260E-010.000000E 00
90.143031E 020.000000E 00-0.309826E-010.000000E 00
100.486620E 010.000000E 00-0.301397E-010.000000E 00
110.000000E 00-0.660960E 030.000000E 000.287981E 06
ELEMENTSTRESSES
1-0.196000E 060.594864E 03
2-0.401209E 050.462672E 03
30.788519E 050.330480E 03
40.158167E 060.198288E 03
50.196000E 060.660960E 02
60.196000E 06-0.660960E 02
70.158167E 06-0.198288E 03
80.788519E 05-0.330480E 03
9-0.401209E 05-0.462672E 03
10-0.196000E 06-0.594864E 03
ITERATION NUMBER = 2
CONVERGENCE CODE = 999 NORM OF RESIDUAL SUM RATIO = 0.562938E 10
NODEDISPLACEMENTSREACTIONS
10.000000E 00-0.656460E 030.000000E 00-0.284525E 06
2-0.227149E 080.000000E 00-0.151432E 060.000000E 00
3-0.681446E 080.000000E 00-0.151432E 060.000000E 00
4-0.113574E 090.000000E 00-0.151432E 060.000000E 00
5-0.159004E 090.000000E 00-0.151432E 060.000000E 00
6-0.163102E 090.000000E 000.124115E 060.000000E 00
7-0.126424E 090.000000E 000.120404E 060.000000E 00
8-0.903028E 080.000000E 000.120404E 060.000000E 00
9-0.541817E 080.000000E 000.120404E 060.000000E 00
10-0.180606E 080.000000E 000.120404E 060.000000E 00
110.000000E 00-0.656351E 030.000000E 000.284576E 06
ELEMENTSTRESSES
10.719122E 130.589934E 03
2-0.390314E 050.457742E 03