MultiPhysicsVault/.raw/FiniteElementsinPlasticityTheoryandPractice/FiniteElementsinPlasticityTheoryandPractice_058.md

4	110	0.000000	0.000000	0.000000
5	110	0.000000	0.000000	0.000000
6	101	0.000000	0.000000	0.000000
10	10	0.000000	0.000000	0.000000
11	101	0.000000	0.000000	0.000000
15	10	0.000000	0.000000	0.000000
16	101	0.000000	0.000000	0.000000
20	10	0.000000	0.000000	0.000000
21	101	0.000000	0.000000	0.000000
22	1	0.000000	0.000000	0.000000
23	1	0.000000	0.000000	0.000000
24	1	0.000000	0.000000	0.000000
25	11	0.000000	0.000000	0.000000

NUMBER ELEMENT PROPERTIES

3	.4472	.0528	.14846E-01	.14812E-01	-.67909E-02	0.
4	.4472	.1972	.20658E-02	.21696E-02	-.51738E-02	0.
5	.3750	.1250	.93182E-02	.10703E-01	-.45473E-02	0.
6	.3750	.2218	.16282E-01	.19151E-01	-.37263E-02	0.
7	.4718	.0282	.32303E-02	.51552E-02	-.17322E-02	0.
8	.4718	.1250	.10243E-01	.11671E-01	-.53073E-03	0.
9	.4718	.2218	.16015E-01	.17815E-01	-.10205E-02	0.

ELEMENT NO. = 3

1	.0528	.3028	.42854E-02	.24316E-02	-.83085E-02	0.
2	.0528	.4472	.21696E-02	.20658E-02	-.51738E-02	0.
3	.1972	.3028	.51552E-02	.32303E-02	-.17322E-02	0.
4	.1972	.4472	.94492E-02	.83078E-02	-.85898E-02	0.
5	.1250	.3750	.10703E-01	.93182E-02	-.45473E-02	0.
6	.1250	.4718	.11671E-01	.10243E-01	-.53073E-03	0.
7	.2218	.2782	.14812E-01	.14846E-01	-.67909E-02	0.
8	.2218	.3750	.19151E-01	.16282E-01	-.37263E-02	0.
9	.2218	.4718	.17815E-01	.16015E-01	-.10205E-02	0.

ELEMENT NO. = 4

1	.3028	.3028	.17182E-01	.17182E-01	-.45805E-02	0.
2	.3028	.4472	.18488E-01	.18023E-01	-.33076E-02	0.
3	.4472	.3028	.21135E-01	.19267E-01	-.13109E-02	0.
4	.4472	.4472	.18023E-01	.18488E-01	-.33076E-02	0.
5	.3750	.3750	.20733E-01	.20733E-01	-.17880E-02	0.
6	.3750	.4718	.22807E-01	.22787E-01	-.23644E-03	0.
7	.4718	.2782	.19267E-01	.21135E-01	-.13109E-02	0.
8	.4718	.3750	.22787E-01	.22807E-01	-.23644E-03	0.
9	.4718	.4718	.23695E-01	.23695E-01	.17833E-03	0.

$$ \begin{array}{c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c} \cdot & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & \\ & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & \end{array} $$

INCREMENT NUMBER 30
LOAD FACTOR = .85600		CONVERGENCE TOLERANCE = .10000
INITIAL OUTPUT PARAMETER = 0		FINAL OUTPUT PARAMETER = 3
IN CONVER	ITERATION NUMBER 1

DISPLACEMENT CHANGE NORM

.282E+00

.280E+00

.280E+00

TOTAL

-.281E+00

RESIDUAL NORM

.182E-10

.896E-06

.896E-06

TOTAL

-.605E-07

CONVERGENCE CODE 1

IN CONVER

ITERATION NUMBER

2

DISPLACEMENT CHANGE NORM

.293E-06

.294E-06

.294E-06

TOTAL

-.294E-06

RESIDUAL NORM

.183E-11

.266E-11

.245E-11

TOTAL

-.183E-11

CONVERGENCE CODE O

DISPLACEMENTS

NODE	DISP.	XZ-ROT.	YZ-ROT.
1	0.	0.	0.
2	0.	0.	.455052E+04
3	0.	0.	.879322E+04
4	0.	0.	.106738E+05
5	0.	0.	.118879E+05
6	0.	.455052E+04	0.
7	0.	.410180E+03	.410180E+03
8	.101997E+04	.289215E+04	.742347E+04
9	0.	.984409E+02	.623582E+03
10	.139568E+04	0.	.102627E+05
11	0.	.879322E+04	0.
12	.101997E+04	.742347E+04	.289215E+04
13	.183493E+04	.557560E+04	.557560E+04
14	.235881E+04	.275674E+04	.688004E+04
15	.252626E+04	0.	.772635E+04

MAX. NO. OF ITERATIONS = 60

16	0.	.106738E+05	0.
17	0.	.623582E+03	.984409E+02
18	.235881E+04	.688004E+04	.275674E+04
19	0.	.230744E+03	.230744E+03
20	.325803E+04	0.	.389260E+04
21	0.	.118879E+05	0.
22	.139568E+04	.102627E+05	0.
23	.252626E+04	.772635E+04	0.
24	.325803E+04	.389260E+04	0.
25	.349631E+04	0.	0.

REACTIONS

NODE	FORCE	XZ-MOMENT	YZ-MOMENT
1	.254174E-01	-.405413E-03	-.405413E-03
2	-.704030E-01	-.474595E-02	0.
3	.489298E-01	-.861086E-03	0.
4	-.130462E+00	-.178824E-02	0.
5	.322264E-01	-.228435E-02	0.
6	-.704030E-01	0.	-.474595E-02
10	0.	-.368943E-02	0.
11	.489298E-01	0.	-.861086E-03
15	0.	-.181699E-02	0.
16	-.130462E+00	0.	-.178824E-02
20	0.	-.720662E-02	0.
21	.322264E-01	0.	-.228435E-02
22	0.	0.	-.368943E-02
23	0.	0.	-.181699E-02
24	0.	0.	-.720662E-02
25	0.	-.132398E-02	-.132398E-02

STRESSES

G.P.	X-COORD.	Y-COORD.	X-MOMENT	Y-MOMENT	XY-MOMENT	EFF.PL.STRAIN
ELEMENT NO. = 1
1	.0528	.0528	-.99908E-03	-.99908E-03	-.23087E-01	.57698E+04
2	.0528	.1972	.51873E-03	.14760E-02	-.23082E-01	.26193E+04
3	.1972	.0528	.80061E-02	.59482E-02	-.20218E-01	0.
4	.1972	.1972	.14760E-02	.51873E-03	-.23082E-01	.26193E+04
5	.1250	.1250	.86235E-02	.86235E-02	-.20786E-01	0.
6	.1250	.2218	.15459E-01	.16648E-01	-.16501E-01	0.
7	.2218	.0282	.59482E-02	.80061E-02	-.20218E-01	0.
8	.2218	.1250	.16648E-01	.15459E-01	-.16501E-01	0.
9	.2218	.2218	.21010E-01	.21010E-01	-.14518E-01	0.

ELEMENT NO. = 2
1	.3028	.0528	.43677E-02	.77768E-02	-.14262E-01	0.
2	.3028	.1972	.14580E-01	.16625E-01	-.14808E-01	0.
3	.4472	.0528	.25755E-01	.25762E-01	-.11744E-01	0.
4	.4472	.1972	.36231E-02	.39462E-02	-.88176E-02	0.
5	.3750	.1250	.16121E-01	.18645E-01	-.78343E-02	0.
6	.3750	.2218	.28118E-01	.33194E-01	-.64873E-02	0.
7	.4718	.0282	.55108E-02	.88899E-02	-.29126E-02	0.
8	.4718	.1250	.17512E-01	.20166E-01	-.91283E-03	0.
9	.4718	.2218	.27549E-01	.30853E-01	-.17952E-02	0.
ELEMENT NO. = 3
1	.0528	.3028	.77768E-02	.43677E-02	-.14262E-01	0.
2	.0528	.4472	.39462E-02	.36231E-02	-.88176E-02	0.
3	.1972	.3028	.88899E-02	.55108E-02	-.29126E-02	0.
4	.1972	.4472	.16625E-01	.14580E-01	-.14808E-01	0.
5	.1250	.3750	.18645E-01	.16121E-01	-.78343E-02	0.
6	.1250	.4718	.20166E-01	.17512E-01	-.91283E-03	0.
7	.2218	.2782	.25762E-01	.25755E-01	-.11744E-01	0.
8	.2218	.3750	.33194E-01	.28118E-01	-.64873E-02	0.
9	.2218	.4718	.30853E-01	.27549E-01	-.17952E-02	0.
ELEMENT NO. = 4
1	.3028	.3028	.29634E-01	.29634E-01	-.79751E-02	0.
2	.3028	.4472	.31762E-01	.31040E-01	-.57935E-02	0.
3	.4472	.3028	.36223E-01	.33145E-01	-.23092E-02	0.
4	.4472	.4472	.31040E-01	.31762E-01	-.57935E-02	0.
5	.3750	.3750	.35776E-01	.35776E-01	-.31804E-02	0.
6	.3750	.4718	.39413E-01	.39460E-01	-.46572E-03	0.
7	.4718	.2782	.33145E-01	.36223E-01	-.23092E-02	0.
8	.4718	.3750	.39460E-01	.39413E-01	-.46572E-03	0.
9	.4718	.4718	.39997E-01	.39997E-01	.26371E-03	.19186E+04
1	.109200E+02	.300000E+00	.100000E-01	.100000E+01	0.	.400000E-01 0.

CONVERGENCE PARAMETERS

IFDIS = 1	NCDIS =1110
IFRES = 1	NCRES =1110

UNIFORMLY DISTRIBUTED LOADING INTENSITY -0.01LB/SQ INCH

0	TOTAL NODAL FORCES FOR EACH ELEMENT
1	-.5208E-02	0.	0.	.2083E-01	0.	0.	-.5208E-02	0.
	0.	.2083E-01	0.	0.	-.5208E-02	0.	0.	.2083E-01
	0.	0.	-.5208E-02	0.	0.	.2083E-01	0.	0.

	.2778E-01	0.	0.
2	-.5208E-02	0.	0.	.2083E-01	0.	0.	-.5208E-02	0.
	0.	.2083E-01	0.	0.	-.5208E-02	0.	0.	.2083E-01
	0.	0.	-.5208E-02	0.	0.	.2083E-01	0.	0.
	.2778E-01	0.	0.
3	-.5208E-02	0.	0.	.2083E-01	0.	0.	-.5208E-02	0.
	0.	.2083E-01	0.	0.	-.5208E-02	0.	0.	.2083E-01
	0.		-.5208E-02	0.	0.	.2083E-01	0.	0.
	.2778E-01	0.	0.
4	-.5208E-02	0.	0.	.2083E-01	0.	0.	-.5208E-02	0.
	0.	.2083E-01	0.	0.	-.5208E-02	0.	0.	.2083E-01
	0.
	.2778E-01	0.	0.
INIncrement NUMBER 1
LOAD FACTOR = .50000 CONVERGENCE TOLERANCE = .10000 MAX. NO. OF ITERATIONS = 60
INITIAL OUTPUT PARAMETER = 0 FINAL OUTPUT PARAMETER = 3
IN CONVER ITERATION NUMBER 1
DISPLACEMENT CHANGE NORM
.100E+03 .100E+03 .100E+03
TOTAL
-.100E+03
RESIDUAL NORM
.845E-08 .662E-08 .628E-08
TOTAL
-.845E-08
CONVERGENCE CODE 1
IN CONVER ITERATION NUMBER 2
DISPLACEMENT CHANGE NORM
.918E-08 .908E-08 .897E-08
TOTAL
-.903E-08
RESIDUAL NORM
.265E-11 .200E-11 .295E-11
TOTAL
-.265E-11
CONVERGENCE CODE 0
DISPLACEMENTS
NODE DISP. XZ-ROT. YZ-ROT.
1 0. 0. 0.
2 0. 0. .261614E+04

3	0.	0.	.505686E+04
4	0.	0.	.615962E+04
5	0.	0.	.687815E+04
6	0.	.261614E+04	0.
7	0.	.230157E+03	.230157E+03
8	.587914E+03	.167781E+04	.428957E+04
9	0.	.639453E+02	.362274E+03
10	.807234E+03	0.	.593553E+04
11	0.	.505686E+04	0.
12	.587914E+03	.428957E+04	.167781E+04
13	.105976E+04	.323511E+04	.323511E+04
14	.136395E+04	.160213E+04	.398710E+04
15	.146134E+04	0.	.447417E+04
16	0.	.615962E+04	0.
17	0.	.362274E+03	.639453E+02
18	.136395E+04	.398710E+04	.160213E+04
19	0.	.132888E+03	.132888E+03
20	.188400E+04	0.	.224070E+04
21	0.	.687815E+04	0.
22	.807234E+03	.593553E+04	0.
23	.146134E+04	.447417E+04	0.
24	.188400E+04	.224070E+04	0.
25	.202089E+04	0.	0.

REACTIONS

NODE	FORCE	XZ-MOMENT	YZ-MOMENT
1	.124667E-01	-.357597E-03	-.357597E-03
2	-.399935E-01	-.292695E-02	0.
3	.280665E-01	-.486232E-03	0.
4	-.754754E-01	-.103874E-02	0.
5	.186691E-01	-.132162E-02	0.
6	-.399935E-01	0.	-.292695E-02
10	0.	-.215061E-02	0.
11	.280665E-01	0.	-.486232E-03
15	0.	-.105925E-02	0.
16	-.754754E-01	0.	-.103874E-02
20	0.	-.417385E-02	0.
21	.186691E-01	0.	-.132162E-02
22	0.	0.	-.215061E-02
23	0.	0.	-.105925E-02
24	0.	0.	-.417385E-02
25	0.	-.783842E-03	-.783842E-03

G.P.	STRESSESEX-COORD. ELEMENT NO. = 1
1	.0528	.0528	-.61926E-03	-.61926E-03	-.15278E-01	0.
2	.0528	.1972	.27063E-03	.86852E-03	-.14197E-01	0.
3	.1972	.0528	.44517E-02	.33436E-02	-.11677E-01	0.
4	.1972	.1972	.86852E-03	.27063E-03	-.14197E-01	0.
5	.1250	.1250	.48794E-02	.48794E-02	-.12011E-01	0.
6	.1250	.2218	.87584E-02	.94485E-02	-.95831E-02	0.
7	.2218	.0282	.33436E-02	.44517E-02	-.11677E-01	0.
8	.2218	.1250	.94485E-02	.87584E-02	-.95831E-02	0.
9	.2218	.2218	.11999E-01	.11999E-01	-.84458E-02	0.
ELEMENT NO. = 2
1	.3028	.0528	.24316E-02	.42854E-02	-.83085E-02	0.
2	.3028	.1972	.83078E-02	.94492E-02	-.85898E-02	0.
etc.

A.4.8 Solution of dynamic transient elasto-plastic problem by explicit time integration. Example of Section 10.7.2, Fig. 10.3

Input data

53	10	2	1
SPHERICAL CAP			EXAMPLE ,DYNPAK , SECTION 10.7.2 ,FIG. 10.3
6	3	8	11	2	2	4	2	0	0	2	3	1
1	1	1	4	6	7	8	5	3	2
2	1	6	9	11	12	13	10	8	7
3	1	11	14	16	17	18	15	13	12
4	1	16	19	21	22	23	20	18	17
5	1	21	24	26	27	28	25	23	22
6	1	26	29	31	32	33	30	28	27
7	1	31	34	36	37	38	35	33	32
8	1	36	39	41	42	43	40	38	37
9	1	41	44	46	47	48	45	43	42
10	1	46	49	51	52	53	50	48	47
1	22.27		0.0000			32	22.475		16.0020
4	22.27		1.3335			37	22.475		18.6690
6	22.27		2.6670			42	22.475		21.3360
9	22.27		4.0005			47	22.475		24.0030

11	22.27	5.3340	52	22.475	26.6700
14	22.27	6.6675	3	22.68	00.0000
																																																																																																			16
16	22.27	8.0010	5	22.68	1.3335
																																																																																																	19
19	22.27	9.3345	8	22.68	2.6670																																																																																																			21
21	22.27	10.6680	10	22.68	4.0005																																																																																																			34
24	22.27	12.0015	13	22.68	5.3340
																																																																																																		42
26	22.27	13.3350	15	22.68	6.6675
29	22.27	14.6685	18	22.68	8.0010																																																																																																		31
31	22.27	16.0020	20	22.68	9.3345
34	22.27	17.3355	23	22.68	10.6680
36	22.27	18.6690	25	22.68	12.0015
39	22.27	20.0025	28	22.68	13.3350
41	22.27	21.3360	30	22.68	14.6685
44	22.27	22.6695	33	22.68	16.0020
46	22.27	24.0030	35	22.68	17.3355

DISTRIBUTED STEP PRESSURE P=600LB/IN SQ.

0	0	1	0
10
1	8	5	3
600.0	600.0		600.0	0.0	0.0	0.0
2	13	10	8
600.0	600.0		600.0	0.0	0.0	0.0
3	18	15	13
600.0	600.0		600.0	0.0	0.0	0.0
4	23	20	18
600.0	600.0		600.0	0.0	0.0	0.0
5	28	25	23
600.0	600.0		600.0	0.0	0.0	0.0
6	33	30	28
600.0	600.0		600.0	0.0	0.0	0.0
7	38	35	33
600.0	600.0		600.0	0.0	0.0	0.0
8	43	40	38
600.0	600.0		600.0	0.0	0.0	0.0
9	48	45	43
600.0	600.0		600.0	0.0	0.0	0.0
10	53	50	48
600.0	600.0		600.0	0.0	0.0	0.0

00000

Line printer output

SPHERICAL CAP EXAMPLE ,DYNPAK ,SECTION 10.7.2 ,FIG. 10.3
CONTROL PARAMETERS
NPOIN =	53	NELEM =	10	NVFIX =
NTYPE =	3	NNODE =	8	NDOFN =
NMATS =	1	NPROP =	11	NGAUS =
NDIME =	2	NSTRE =	4	NCRIT =
NPREV =	0	NCONM =	0	NLAPS =
NGAUM =	3	NRADS =	1

ELEMENT	PROPERTY	NODE NUMBERS
1	1	1	4	6	7	8	5	3	2
2	1	6	9	11	12	13	10	8	7
3	1	11	14	16	17	18	15	13	12
4	1	16	19	21	22	23	20	18	17
5	1	21	24	26	27	28	25	23	22
6	1	26	29	31	32	33	30	28	27
7	1	31	34	36	37	38	35	33	32
8	1	36	39	41	42	43	40	38	37
9	1	41	44	46	47	48	45	43	42
10	1	46	49	51	52	53	50	48	47
1	22.270	0.000				NODE		X	Y
4	22.270	1.334				1	0.000		22.270
6	22.270	2.667				2	0.000		22.475
9	22.270	4.001				3	0.000		22.680
11	22.270	5.334				4	.518		22.264
14	22.270	6.668				5	.528		22.674
16	22.270	8.001				6	1.036		22.246
19	22.270	9.335				7	1.046		22.451
21	22.270	10.668				8	1.055		22.655
24	22.270	12.002				9	1.554		22.216
26	22.270	13.335				10	1.582		22.625
29	22.270	14.669				11	2.070		22.174
31	22.270	16.002				12	2.089		22.378
34	22.270	17.336				13	2.108		22.582
36	22.270	18.669				14	2.586		22.119
39	22.270	20.003				15	2.633		22.527
41	22.270	21.336				16	3.100		22.053
44	22.270	22.670				17	3.128		22.256
46	22.270	24.003				18	3.157		22.459
49	22.270	25.337				19	3.612		21.975
51	22.270	26.670				20	3.679		22.380
2	22.475	0.000				21	4.123		21.885
7	22.475	2.667				22	4.161		22.087
12	22.475	5.334				23	4.198		22.288
17	22.475	8.001				24	4.631		21.783
22	22.475	10.668				25	4.716		22.184
27	22.475	13.335				26	5.136		21.670
32	22.475	16.002				27	5.184		21.869
37	22.475	18.669				28	5.231		22.069