Appendix A: ABAQUS Input Files

Tension of a finite width thin element with a circular hole:

*Heading

** Job name: p256_a Model name: Model-1

**

** PARTS

**

*Part, name=Part-1

*End Part

**

** ASSEMBLY

**

*Assembly, name=Assembly

**

*Instance, name=Part-1-1, part=Part-1

*Node

1, 1.377186, 0.

.

.

.

641, 1.271422, 0.

*Element, type=CPS8R

1, 1, 12, 93, 31, 226, 227, 228, 229

.

.

.

192, 225, 92, 1, 31, 637, 641, 229, 640

** Region: (Section-2:Picked)

*Elset, elset=_I1, internal, generate

1, 192, 1

** Section: Section-2

*Solid Section, elset=_I1, material=aluminum

1.,

*End Instance

*Node

1, 0.125, 0., 0.

*Nset, nset=_PickedSet65, internal, instance=Part-1-1

7, 8, 9, 56, 57, 58, 59, 60, 61, 62, 66, 67, 68, 69, 70, 71

72, 448, 456, 464, 472, 480, 488, 496, 504, 506, 509, 512, 515, 518, 521, 524

527,

*Elset, elset=_PickedSet65, internal, instance=Part-1-1

100, 104, 108, 112, 116, 120, 124, 128, 129, 130, 131, 132, 133, 134, 135, 136

*Nset, nset=_PickedSet66, internal, instance=Part-1-1

1, 2, 11, 12, 13, 14, 15, 16, 17, 18, 86, 87, 88, 89, 90, 91

92, 226, 230, 233, 236, 239, 242, 245, 248, 588, 596, 604, 612, 620, 628, 636

641,

*Elset, elset=_PickedSet66, internal, instance=Part-1-1

1, 2, 3, 4, 5, 6, 7, 8, 164, 168, 172, 176, 180, 184, 188, 192

*Elset, elset=__PickedSurf58_S2, internal, instance=Part-1-1, generate

8, 32, 8

*Elset, elset=__PickedSurf58_S1, internal, instance=Part-1-1, generate

33, 40, 1

*Surface, type=ELEMENT, name=_PickedSurf58, internal

__PickedSurf58_S2, S2

__PickedSurf58_S1, S1

*End Assembly

**

** MATERIALS

**

*Material, name=aluminum

*Elastic

1e+07, 0.3

**

** BOUNDARY CONDITIONS

**

** Name: BC-1 Type: Symmetry/Antisymmetry/Encastre

*Boundary

_PickedSet65, XSYMM

** Name: BC-2 Type: Symmetry/Antisymmetry/Encastre

*Boundary

_PickedSet66, YSYMM

** ------

**

** STEP: Step-1

**

*Step, name=Step-1

*Static

1., 1., 1e-05, 1.

**

** LOADS

**

** Name: Load-1 Type: Pressure

*Dsload

_PickedSurf58, P, -1.

**

** OUTPUT REQUESTS

**

*Restart, write, frequency=1

**

** FIELD OUTPUT: F-Output-1

**

*Output, field, variable=PRESELECT

**

** HISTORY OUTPUT: H-Output-1

**

*Output, history, variable=PRESELECT

*El Print, freq=999999

*Node Print, freq=999999

*End Step

Tension of a finite width thin element with an infinite row of circular holes:

*Heading

** Job name: p300_a Model name: Model-1

**

** PARTS

**

*Part, name=Part-1

*End Part

**

** ASSEMBLY

**

*Assembly, name=Assembly

**

*Instance, name=Part-1-1, part=Part-1

*Node

1, 2.77146, 0.

.

.

.

847, 9.1, 0.1499978

*Element, type=CPS8R

1, 17, 18, 133, 128, 301, 302, 303, 304

.

.

.

248, 300, 104, 12, 105, 836, 846, 847, 844

** Region: (Section-2:Picked)

*Elset, elset=_I1, internal, generate

1, 248, 1

** Section: Section-2

*Solid Section, elset=_I1, material=aluminum

1.,

*End Instance

*Node

1, 9.1, 0., 0.

*Nset, nset=_PickedSet73, internal, instance=Part-1-1

1, 5, 8, 9, 10, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23

66, 67, 68, 69, 70, 71, 72, 73, 87, 88, 89, 90, 91, 92, 97, 98

99, 100, 101, 102, 103, 104, 301, 305, 308, 311, 314, 317, 320, 455, 467, 479

486, 538, 550, 562, 574, 586, 588, 591, 594, 597, 690, 698, 706, 714, 716, 719

722, 758, 769, 780, 791, 802, 813, 824, 835, 846

*Elset, elset=_PickedSet73, internal, instance=Part-1-1

1, 2, 3, 4, 5, 6, 7, 65, 71, 77, 83, 104, 110, 116, 122, 128

129, 130, 131, 132, 176, 180, 184, 188, 189, 190, 191, 208, 213, 218, 223, 228

233, 238, 243, 248

*Nset, nset=_PickedSet95, internal, instance=Part-1-1

3, 4, 38, 39, 40, 41, 417, 419, 422, 425, 428

*Elset, elset=_PickedSet95, internal, instance=Part-1-1, generate

51, 55, 1

*Elset, elset=__PickedSurf71_S3, internal, instance=Part-1-1, generate

244, 248, 1

*Surface, type=ELEMENT, name=_PickedSurf71, internal

__PickedSurf71_S3, S3

*End Assembly

**

** MATERIALS

**

*Material, name=aluminum

*Elastic

1e+07, 0.3

** ------

**

** STEP: Step-1

**

*Step, name=Step-1

*Static

1., 1., 1e-05, 1.

**

** BOUNDARY CONDITIONS

**

** Name: BC-1 Type: Symmetry/Antisymmetry/Encastre

*Boundary

_PickedSet95, XSYMM

** Name: BC-2 Type: Symmetry/Antisymmetry/Encastre

*Boundary

_PickedSet73, YSYMM

**

** LOADS

**

** Name: Load-1 Type: Pressure

*Dsload

_PickedSurf71, P, -1.

**

** OUTPUT REQUESTS

**

*Restart, write, frequency=1

**

** FIELD OUTPUT: F-Output-1

**

*Output, field, variable=PRESELECT

**

** HISTORY OUTPUT: H-Output-1

**

*Output, history, variable=PRESELECT

*El Print, freq=999999

*Node Print, freq=999999

*End Step

Tension of a biaxially stressed infinite thin element with an infinite row of circular holes:

*Heading

** Job name: p301_a Model name: Model-1

**

** PARTS

**

*Part, name=Part-1

*End Part

**

** ASSEMBLY

**

*Assembly, name=Assembly

**

*Instance, name=Part-1-1, part=Part-1

*Node

1, 1.757028, 0.

.

.

.

1108, 9.1, 0.1666515

*Element, type=CPS8R

1, 16, 17, 145, 131, 388, 389, 390, 391

.

.

.

335, 387, 115, 12, 116, 1089, 1107, 1108, 1105

** Region: (Section-2:Picked)

*Elset, elset=_I1, internal, generate

1, 335, 1

** Section: Section-2

*Solid Section, elset=_I1, material=aluminum

1.,

*End Instance

*Node

1, 9.1, 0., 0.

*Nset, nset=_PickedSet96, internal, instance=Part-1-1

3, 4, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 453, 463, 473, 483

493, 503, 513, 523, 525, 528, 531

*Elset, elset=_PickedSet96, internal, instance=Part-1-1

25, 30, 35, 40, 45, 50, 55, 60, 61, 62, 63

*Nset, nset=_PickedSet97, internal, instance=Part-1-1

1, 5, 8, 9, 11, 12, 14, 15, 16, 17, 71, 72, 73, 74, 75, 76

77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 111, 112, 113, 114

115, 388, 392, 562, 566, 569, 690, 700, 710, 720, 722, 725, 728, 731, 734, 772

776, 779, 782, 785, 948, 958, 968, 978, 988, 994, 1012, 1031, 1050, 1069, 1088, 1107

*Elset, elset=_PickedSet97, internal, instance=Part-1-1

1, 2, 77, 79, 81, 136, 141, 146, 151, 152, 153, 154, 155, 156, 177, 178

179, 180, 181, 256, 261, 266, 271, 276, 281, 290, 299, 308, 317, 326, 335

*Elset, elset=__PickedSurf99_S3, internal, instance=Part-1-1, generate

327, 335, 1

*Elset, elset=__PickedSurf99_S4, internal, instance=Part-1-1, generate

282, 327, 9

*Elset, elset=__PickedSurf99_S2, internal, instance=Part-1-1

12, 20, 101, 106, 111, 205, 209, 213, 217, 221

*Elset, elset=__PickedSurf99_S1, internal, instance=Part-1-1

21, 22, 23, 24, 25, 112, 113, 114, 115, 222, 223, 224

*Surface, type=ELEMENT, name=_PickedSurf99, internal

__PickedSurf99_S3, S3

__PickedSurf99_S4, S4

__PickedSurf99_S2, S2

__PickedSurf99_S1, S1

*End Assembly

**

** MATERIALS

**

*Material, name=aluminum

*Elastic

1e+07, 0.3

** ------

**

** STEP: Step-1

**

*Step, name=Step-1

*Static

1., 1., 1e-05, 1.

**

** BOUNDARY CONDITIONS

**

** Name: BC-1 Type: Symmetry/Antisymmetry/Encastre

*Boundary

_PickedSet96, XSYMM

** Name: BC-2 Type: Symmetry/Antisymmetry/Encastre

*Boundary

_PickedSet97, YSYMM

**

** LOADS

**

** Name: Load-1 Type: Pressure

*Dsload

_PickedSurf99, P, -1.

**

** OUTPUT REQUESTS

**

*Restart, write, frequency=1

**

** FIELD OUTPUT: F-Output-1

**

*Output, field, variable=PRESELECT

**

** HISTORY OUTPUT: H-Output-1

**

*Output, history, variable=PRESELECT

*El Print, freq=999999

*Node Print, freq=999999

*End Step

Tension of a finite width thin element with a circular hole and additional holes in a plane perpendicular to the loading direction:

*Heading

** Job name: L0425_r025 Model name: Model-1

**

** PARTS

**

*Part, name=Part-1

*End Part

**

** ASSEMBLY

**

*Assembly, name=Assembly

**

*Instance, name=Part-1-1, part=Part-1

*Node

1, 11.39307, 20.

.

.

.

1032, 0.7984058, 4.856515

*Element, type=CPS8R

1, 1, 30, 141, 69, 360, 361, 362, 363

.

.

.

315, 132, 24, 131, 358, 1001, 992, 1021, 1032

** Region: (Section-1:Picked)

*Elset, elset=_I1, internal, generate

1, 315, 1

** Section: Section-1

*Solid Section, elset=_I1, material=aluminum

1.,

*End Instance

*Nset, nset=_PickedSet20, internal, instance=Part-1-1

7, 10, 19, 21, 22, 26, 28, 29, 77, 78, 79, 80, 81, 117, 118, 119

120, 121, 137, 138, 139, 735, 738, 740, 742, 744, 746, 909, 924, 928, 931, 934

937, 940, 987, 1017, 1019, 1022, 1024, 1027

*Elset, elset=_PickedSet20, internal, instance=Part-1-1

173, 174, 175, 176, 177, 178, 254, 263, 264, 265, 266, 267, 268, 292, 307, 308

310, 311, 312

*Nset, nset=_PickedSet21, internal, instance=Part-1-1

4, 5, 15, 40, 41, 42, 43, 44, 45, 46, 47, 48, 104, 105, 106, 107

108, 109, 110, 111, 112, 398, 425, 452, 479, 506, 533, 560, 587, 614, 641, 860

864, 868, 872, 876, 880, 884, 888, 892, 894

*Elset, elset=_PickedSet21, internal, instance=Part-1-1

13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 228, 230, 232, 234, 236, 238

240, 242, 244, 245

*Elset, elset=__PickedSurf19_S3, internal, instance=Part-1-1, generate

118, 130, 1

*Surface, type=ELEMENT, name=_PickedSurf19, internal

__PickedSurf19_S3, S3

*End Assembly

**

** MATERIALS

**

*Material, name=aluminum

*Elastic

1e+07, 0.3

** ------

**

** STEP: Step-1

**

*Step, name=Step-1

*Static

1., 1., 1e-05, 1.

**

** BOUNDARY CONDITIONS

**

** Name: BC-1 Type: Symmetry/Antisymmetry/Encastre

*Boundary

_PickedSet20, XSYMM

** Name: BC-2 Type: Symmetry/Antisymmetry/Encastre

*Boundary

_PickedSet21, YSYMM

**

** LOADS

**

** Name: Load-1 Type: Pressure

*Dsload

_PickedSurf19, P, -1.

**

** OUTPUT REQUESTS

**

*Restart, write, frequency=1

**

** FIELD OUTPUT: F-Output-1

**

*Output, field, variable=PRESELECT

**

** HISTORY OUTPUT: H-Output-1

**

*Output, history, variable=PRESELECT

*El Print, freq=999999

*Node Print, freq=999999

*End Step

Tension of a finite width thin element with a circular hole and additional holes in a plane parallel to the loading direction:

*Heading

** Job name: H0500_r025 Model name: Model-1

**

** PARTS

**

*Part, name=Part-1

*End Part

**

** ASSEMBLY

**

*Assembly, name=Assembly

**

*Instance, name=Part-1-1, part=Part-1

*Node

1, 12.32106, 20.

.

.

.

1360, 4.979866, 0.2491879

*Element, type=CPS8R

1, 1, 27, 154, 69, 472, 473, 474, 475

.

.

.

419, 153, 21, 137, 470, 1360, 1295, 1351, 1359

** Region: (Section-1:Picked)

*Elset, elset=_I1, internal, generate

1, 419, 1

** Section: Section-1

*Solid Section, elset=_I1, material=aluminum

1.,

*End Instance

*Nset, nset=_PickedSet25, internal, instance=Part-1-1

6, 9, 12, 82, 83, 84, 85, 86, 87, 88, 89, 90, 106, 107, 108, 109

110, 111, 112, 1029, 1032, 1034, 1036, 1038, 1040, 1042, 1044, 1046, 1048, 1080, 1082, 1085

1088, 1091, 1094, 1097, 1100

*Elset, elset=_PickedSet25, internal, instance=Part-1-1

261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 286, 287, 288, 289, 290, 291

292, 293

*Nset, nset=_PickedSet26, internal, instance=Part-1-1

3, 4, 11, 13, 14, 22, 25, 39, 40, 41, 42, 43, 44, 45, 46, 47

103, 104, 123, 124, 125, 126, 127, 128, 129, 139, 140, 143, 144, 145, 513, 542

571, 600, 629, 658, 687, 716, 745, 774, 1059, 1067, 1072, 1153, 1169, 1185, 1201, 1217

1233, 1249, 1251, 1299, 1301, 1303, 1326, 1329, 1331, 1332

*Elset, elset=_PickedSet26, internal, instance=Part-1-1

14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 274, 278, 282, 315, 323, 331

339, 347, 355, 363, 364, 387, 388, 389, 399, 400, 401, 402

*Elset, elset=__PickedSurf27_S3, internal, instance=Part-1-1, generate

127, 140, 1

*Surface, type=ELEMENT, name=_PickedSurf27, internal

__PickedSurf27_S3, S3

*End Assembly

**

** MATERIALS

**

*Material, name=aluminum

*Elastic

1e+07, 0.3

** ------

**

** STEP: Step-1

**

*Step, name=Step-1

*Static

1., 1., 1e-05, 1.

**

** BOUNDARY CONDITIONS

**

** Name: BC-1 Type: Symmetry/Antisymmetry/Encastre

*Boundary

_PickedSet25, XSYMM

** Name: BC-2 Type: Symmetry/Antisymmetry/Encastre

*Boundary

_PickedSet26, YSYMM

**

** LOADS

**

** Name: Load-1 Type: Pressure

*Dsload

_PickedSurf27, P, -1.

**

** OUTPUT REQUESTS

**

*Restart, write, frequency=1

**

** FIELD OUTPUT: F-Output-1

**

*Output, field, variable=PRESELECT

**

** HISTORY OUTPUT: H-Output-1

**

*Output, history, variable=PRESELECT

*El Print, freq=999999

*Node Print, freq=999999

*End Step

Tension of a Thin Element with a Center Crack:

*HEADING

*SYSTEM

10.

*NODE

1,7,0

25,7,0

361,10,0

367,10,10

379,-10,10

385,-10,0

647,10,100

659,-10,100

527,10,30

539,-10,30

*NGEN,NSET=CRACK

1,25

*NGEN,NSET=OUTER

361,367

367,379

379,385

*NFILL,SINGULAR=1

CRACK,OUTER,12,30

*NGEN,NSET=A1

367,379

*NGEN,NSET=A2

527,539

*NGEN,NSET=A3

647,659

*NFILL

A1,A2,8,20

*NFILL

A2,A3,6,20

*ELEMENT,TYPE=CPE8R

1,1,61,63,3,31,62,33,2

73,367,407,409,369,387,408,389,368

*ELGEN,ELSET=EALL

1,6,60,1,12,2,6

73,6,2,1,7,40,6

*ELSET,ELSET=PULL,GENERATE

109,114

*NSET,NSET=XAXIS,GENERATE

25,385,30

*NSET,NSET=CNTR,GENERATE

367,647,20

361,367

*ELSET,ELSET=PRINT

1,31,18,36

*ELSET,ELSET=MONITOR,GENERATE

1,84

*SOLID SECTION,MATERIAL=A1,ELSET=EALL

*MATERIAL,NAME=A1

*ELASTIC

30E6,.3

*BOUNDARY

XAXIS,2

CNTR,1

*STEP,INC=30

*STATIC

0.05,1

*DLOAD

PULL,P2,-10000

*CONTOUR INTEGRAL,FREQUENCY=1,CONTOURS=6,SYMM,TYPE=K FACTOR,OUTPUT=BOTH

CRACK, -1.0, 0.0

*END STEP

Tension of a Thin Element with a Crack at Each Edge:

*HEADING

*SYSTEM

10.

*NODE

1,7,0

25,7,0

361,10,0

367,10,10

379,-10,10

385,-10,0

647,10,100

659,-10,100

527,10,30

539,-10,30

*NGEN,NSET=CRACK

1,25

*NGEN,NSET=OUTER

361,367

367,379

379,385

*NFILL,SINGULAR=1

CRACK,OUTER,12,30

*NGEN,NSET=A1

367,379

*NGEN,NSET=A2

527,539

*NGEN,NSET=A3

647,659

*NFILL

A1,A2,8,20

*NFILL

A2,A3,6,20

*ELEMENT,TYPE=CPE8R

1,1,61,63,3,31,62,33,2

73,367,407,409,369,387,408,389,368

*ELGEN,ELSET=EALL

1,6,60,1,12,2,6

73,6,2,1,7,40,6

*ELSET,ELSET=PULL,GENERATE

109,114

*NSET,NSET=XAXIS,GENERATE

25,385,30

*NSET,NSET=YAXIS,GENERATE

379,659,20

379,385

*ELSET,ELSET=PRINT

1,31,18,36

*ELSET,ELSET=MONITOR,GENERATE

1,84

*SOLID SECTION,MATERIAL=A1,ELSET=EALL

*MATERIAL,NAME=A1

*ELASTIC

30E6,.3

*BOUNDARY

XAXIS,2

YAXIS,1

*STEP,INC=30

*STATIC

0.05,1

*DLOAD

PULL,P2,-10000

*CONTOUR INTEGRAL,FREQUENCY=1,CONTOURS=6,SYMM,TYPE=K FACTOR,OUTPUT=BOTH

CRACK, -1.0, 0.0

*END STEP

Tension of a Thin Element with a Hole and a Center Crack Through the Hole:

*Heading

** Job name: Job-1 Model name: Model-1

**

** PARTS

**

*Part, name=Part-1

*End Part

**

** ASSEMBLY

**

*Assembly, name=Assembly

**

*Instance, name=Part-1-1, part=Part-1

*Node

1, 8.04304, 10.

.

.

.

5361, 4, 0.

*Element, type=CPS8R

1, 1, 14, 21, 4, 190, 191, 192, 193

.

.

.

161, 12, 13, 1, 4, 537, 538, 193, 536

*NGEN,NSET=CRACK

5001,5025

*NGEN,NSET=OUTER

5361,5367

5367,5379

5379,5385

*NFILL,SINGULAR=1

CRACK,OUTER,12,30

*ELEMENT,TYPE=CPE8R

5001,5001,5061,5063,5003,5031,5062,5033,5002

*ELGEN,ELSET=EC

5001,6,60,1,12,2,6

** Region: (Section-1:Picked)

*Elset, elset=_I1, internal, generate

1, 161, 1

** Section: Section-1

*Solid Section, elset=_I1, material=aluminum

1.,

*Solid Section, elset=EC, material=aluminum

1.,

*End Instance

*Nset, nset=_PickedSet70, internal, instance=Part-1-1

2, 3, 5, 7, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51

52, 204, 209, 224, 235, 246, 257, 268, 279, 290, 301, 312, 323, 334, 345, 356

366,

*Elset, elset=_PickedSet70, internal, instance=Part-1-1

5, 6, 11, 16, 21, 26, 31, 36, 41, 46, 51, 56, 61, 66, 71, 76

*Nset, nset=_PickedSet72, internal, instance=Part-1-1

9, 10, 11, 62, 63, 64, 65, 66, 67, 68, 69, 444, 454, 464, 474, 484

494, 504, 514, 524, 526

*Elset, elset=_PickedSet72, internal, instance=Part-1-1

115, 120, 125, 130, 135, 140, 145, 150, 155, 156

*Elset, elset=__PickedSurf69_S2, internal, instance=Part-1-1

161,

*Elset, elset=__PickedSurf69_S1, internal, instance=Part-1-1, generate

1, 5, 1

*Surface, type=ELEMENT, name=_PickedSurf69, internal

__PickedSurf69_S2, S2

__PickedSurf69_S1, S1

*End Assembly

**

** MATERIALS

**

*Material, name=aluminum

*Elastic

1e+07, 0.3

*NSET,NSET=CX, Generate, internal, instance=Part-1-1

5001,5361,30

*NSET,NSET=CRACK, Generate, internal, instance=Part-1-1

5001,5025

*Boundary

CX, YSYMM

** ------

**

** STEP: Step-1

**

*Step, name=Step-1

*Static

1., 1., 1e-05, 1.

**

** BOUNDARY CONDITIONS

**

** Name: BC-1 Type: Symmetry/Antisymmetry/Encastre