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MASS DENSITY .2450E-03

ALPHA TEMPR 0.

REFERENCE FO .2400E+05

HARDENING PAR .2143E+06

FRICT ANGLE 0.

FLUIDITY PAR .1000E+05

EXP DELTA 1.000

NFLOW CODE 1.000

TIME STEPPING PARAMETERS

NSTEP=200NOUTD=1NOUTP=20
NREQD=1NREQS=1NACCE=1
IFUNC=1IFIXD=0MITER=5
KSTEP=201IPRED=2
DTIME=.5000E-05DTEND=.1000E-02DTREC=0.
AALFA=0.BEETA=0.DELTA=.2500
GAAMA=.5000AZERO=0.BZERO=0.
OMEGA=0.TOLER=.1000E-03

SELECTIVE OUTPUT REQUESTED FOR FOLLOWING

NODES1
G.P.1

TYPE OF ELEMENT, IMPLICIT=1, EXPLICIT=2

111111111
$INITIALX-DISP.INITIALY-DISP.
530.0.
NODEINITIALX-VELO.INITIALY-VELO.
530.0.

LOAD CASE TITLE - DISTRIBUTED STEP PRESSURE P=600LB/IN

LOAD INPUT PARAMETERS

POINT LOADS0
GRAVITY0
EDGE LOAD1
TEMPERATURE0

NO. OF LOADED EDGES = 10

LIST OF LOADED EDGES AND APPLIED LOADS

1853
600.000600.000600.0000.0000.0000.000
213108
600.000600.000600.0000.0000.0000.000
3181513
600.000600.000600.0000.0000.0000.000
4232018
600.000600.000600.0000.0000.0000.000
52825235
600.000600.000600.0000.0000.0000.000
6333028
600.000600.000600.0000.0000.0000.000
7383533
600.000600.000600.0000.0000.0000.0008434038
600.000600.000600.0000.0000.0000.0009484543
600.000600.000600.0000.0000.0000.0000.000
10535048

INITIAL ACCELERATION

-.18236E+08.91173E+07-.54133E+08-.35754E+06-.18247E+08-.13920E+07-.54061E+08-.93018E+06-.18228E+08.46432E+06
.91132E+07-.23578E+07-.54047E+08-.12424E+07-.18205E+08-.38329E+07-.53943E+08-.17443E+07-.18168E+08.87161E+06
.90830E+07-.49321E+07-.53867E+08-.21006E+07-.18128E+08-.63175E+07-.53711E+08-.25752E+07-.18076E+08.12872E+07
.90371E+07-.74684E+07-.53581E+08-.29436E+07-.18003E+08-.87955E+07-.53354E+08-.33945E+07-.17917E+08.16969E+07
.89579E+07-.99591E+07-.53151E+08-.37934E+07-.17869E+08-.11275E+08-.52913E+08-.42561E+07-.17812E+08.21275E+07
.89049E+07-.12464E+08-.52692E+08-.45797E+07-.17590E+08-.13681E+08-.52254E+08-.49619E+07-.17373E+08.24809E+07
.86861E+07-.14781E+08-.51805E+08-.55366E+07-.17632E+08-.16247E+08-.51858E+08-.62011E+07-.17977E+08.30987E+07
.89849E+07-.17535E+08-.51741E+08-.58186E+07-.16318E+08-.18180E+08-.50157E+08-.57372E+07-.15178E+08.28705E+07
.75929E+07-.18229E+08-.47544E+08-.82556E+07-.19283E+08-.22510E+08-.53199E+08-.12268E+08-.26298E+08.61105E+07
.13102E+08-.23821E+08-.53089E+08-.20703E+07-.50752E+07-.19969E+08-.42545E+08
2665555554444443444434

DISPLACEMENTS AT TIME STEP 20 TIME .10000000000E-03

NNODEX-DISPY-DISPNNODEX-DISPY-DISPNNODEX-DISPY-DISP
10.-.24848E-0120.-.24695E-0130.-.24531E-01
4-.49085E-03-.24866E-015-.47375E-03-.24549E-016-.10248E-02-.24900E-01
7-.96448E-03-.24721E-018-.90720E-03-.24585E-019-.16044E-02-.25115E-01
10-.13198E-02-.24815E-0111-.20699E-02-.25440E-0112-.19725E-02-.25296E-01
13-.18734E-02-.25137E-0114-.23709E-02-.25414E-0115-.25289E-02-.25071E-01
16-.26710E-02-.24905E-0117-.28704E-02-.24721E-0118-.30683E-02-.24530E-01
19-.31289E-02-.24240E-0120-.33998E-02-.23877E-0121-.37999E-02-.23915E-01
22-.37049E-02-.23738E-0123-.36218E-02-.23626E-0124-.46539E-02-.24268E-01
25-.39278E-02-.24100E-0126-.55678E-02-.25249E-0127-.50092E-02-.25194E-01
28-.44634E-02-.25182E-0129-.63749E-02-.26559E-0130-.52828E-02-.26501E-01
31-.68507E-02-.27577E-0132-.65811E-02-.27518E-0133-.62954E-02-.27401E-01
34-.68161E-02-.27664E-0135-.72519E-02-.27166E-0136-.61665E-02-.26284E-01
37-.70370E-02-.25898E-0138-.78691E-02-.25398E-0139-.49158E-02-.23247E-01
40-.78646E-02-.21836E-0141-.31688E-02-.18623E-0142-.51687E-02-.17788E-01
43-.71196E-02-.16855E-0144-.13242E-02-.13015E-0145-.55782E-02-.10963E-01
46.15487E-03-.72526E-0247-.16405E-02-.62975E-0248-.35098E-02-.54896E-02
49.71525E-03-.26446E-0250-.14080E-02-.13752E-02510.0.
520.0.530.0.540.0.

STRESSES

G.P.RR-STRESSZZ-STRESSRZ-STRESSTT-STRESSMAX P.S.MIN P.S.ANGLEP.S.
ELEMENT NO. =1
1-.140401E+05-.297607E+03.102996E+02-.139518E+05-.297599E+03-.140401E+05-.0430.
2-.137677E+05-.163963E+03-.597302E+01-.138441E+05-.163961E+03-.137677E+05.0250.
3-.144323E+05.442655E+03.738033E+03-.141613E+05.479184E+03-.144688E+05-2.8340.
4-.133330E+05-.936998E+03.632685E+03-.136731E+05-.904790E+03-.133652E+05-2.9140.
ELEMENT NO. =2
1-.152286E+05-.445944E+02.890663E+03-.148846E+05.747159E+01-.152807E+05-3.3460.
2-.125683E+05-.504156E+03.703159E+03-.130704E+05-.463311E+03-.126091E+05-3.3240.
3-.135150E+05-.291803E+03.500085E+03-.144796E+05-.272918E+03-.135339E+05-2.1630.
4-.143944E+05-.155896E+03.601210E+03-.137405E+05-.130555E+03-.144197E+05-2.4140.
ELEMENT NO. =3
1-.114077E+05.321093E+03.890750E+03-.133350E+05.388356E+03-.114749E+05-4.3180.
2-.163302E+05-.869776E+03.130850E+04-.149798E+05-.759812E+03-.164402E+05-4.8040.
3-.119282E+05-.302176E+02.202031E+04-.130545E+05.303478E+03-.122619E+05-9.3790.
4-.153434E+05-.105963E+04.231258E+04-.149313E+05-.694548E+03-.157084E+05-8.9710.
ELEMENT NO. =4
1-.140507E+05-.635684E+03.272355E+04-.136079E+05-.103829E+03-.145826E+05-11.0500.
2-.129503E+05-.771685E+03.251263E+04-.139120E+05-.273660E+03-.134483E+05-11.2110.
3-.162765E+05-.534438E+03.331560E+04-.144035E+05.135395E+03-.169463E+05-11.4210.
4-.105661E+05-.107081E+04.217283E+04-.128314E+05-.597214E+03-.110397E+05-12.2960.
ELEMENT NO. =5
1-.169374E+05-.616907E+03.343220E+04-.150478E+05.755061E+02-.176298E+05-11.4060.
2-.985701E+04-.929878E+03.189549E+04-.123230E+05-.544081E+03-.102428E+05-11.5040.
3-.158004E+05-.584241E+03.320362E+04-.154607E+05.627411E+02-.164474E+05-11.4180.
4-.109975E+05-.917806E+03.197734E+04-.128391E+05-.543789E+03-.113715E+05-10.7110.
ELEMENT NO. =6
1-.137487E+05-.310136E+03.270211E+04-.153590E+05.212832E+03-.142716E+05-10.9540.
2-.131377E+05-.977521E+03.241519E+04-.139613E+05-.515392E+03-.135998E+05-10.8320.
3-.100168E+05-.385414E+03.191198E+04-.146078E+05-.197402E+02-.103824E+05-10.8270.
4-.167785E+05-.117197E+04.363810E+04-.159001E+05-.365543E+03-.175849E+05-12.4980.
ELEMENT NO. =7
1-.722734E+04.111484E+03.143221E+04-.134652E+05.381084E+03-.749694E+04-10.6610.
2-.192763E+05-.178155E+04.492010E+04-.173694E+05-.492791E+03-.205651E+05-14.6780.
3-.478449E+04-.226073E+03.140219E+04-.117250E+05.170709E+03-.518127E+04-15.8000.
4-.209663E+05-.258450E+04.619192E+04-.181578E+05-.693317E+03-.228575E+05-16.9840.
ELEMENT NO. =8
1-.437572E+04-.157141E+03.160307E+04-.101811E+05.382897E+03-.491576E+04-18.6180.
2-.205255E+05-.290008E+04.724227E+04-.175949E+05-.306030E+03-.231196E+05-19.7070.
3-.569987E+04-.196356E+04.272300E+04-.856768E+04-.529486E+03-.713394E+04-27.7740.
4-.178667E+05-.303932E+04.725350E+04-.151639E+05-.811257E+02-.208249E+05-22.1870.
ELEMENT NO. =9
1-.820383E+04-.168373E+04.434615E+04-.704395E+04.489173E+03-.103767E+05-26.5630.
2-.140072E+05-.338917E+04.689124E+04-.122639E+05.945125E+00-.173973E+05-26.1950.
3-.124091E+05-.260385E+04.807719E+04-.598991E+04.194216E+04-.169551E+05-29.3720.
4-.832578E+04-.512213E+04.347770E+04-.822056E+04-.289508E+04-.105528E+05-32.6350.
ELEMENT NO. =10
1-.175228E+05-.441212E+04.989584E+04-.667527E+04.902688E+03-.228376E+05-28.2390.
2-.153824E+04-.224010E+04.286990E+04-.322046E+04.100211E+04-.478044E+0441.5140.
3-.253810E+05-.152556E+05.109737E+05-.119169E+05-.823306E+04-.324035E+05-32.6170.
4.708117E+04.431688E+04.684627E+03.310099E+04.724144E+04.415661E+0413.1750.
$$ \begin{array}{c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c} \end{array} $$

AUTHOR INDEX

Abel, J. F., 11

Ahmad, S., 214, 429, 499, 500

Alexander, J. M., 496

Ang, A. H. L., 373

Argyris, J. H., 31, 499

Armen, H., 268, 373, 497

Atkinson, J. H., 496

Backlund, J., 373

Banerjee, P. K., 502

Baron, M. L., 94

Barrer, R. M., 94

Bashur, F. K., 500

Basu, A. K., 500

Bathe, K. J., 214, 429, 463, 499

Batoz, J. L., 498

Bhaumik, A. K., 373

Bazant, Z. P., 496

Belytschko, T., 462

Berg, C. A., 269

Bergan, P. G., 498, 501

Bettess, P., 502

Bhat, P. D., 496

Bicanic, N., 429, 496, 499

Bird, R. B., 497

Bishop, A. W., 268

Bland, D. R., 268

Bolourchi, S., 499, 500

Booth, A. D., 31

Brandt, A., 501

Bransby, P., 496

Brew, J. S., 429, 501

Bridgman, P. W., 268

Brotton, D. M., 429, 501

Bushnell, D., 498

Cathie, D. N., 502

Cattopadhyay, A., 498

Cescotto, S., 498

Chang, C. T., 497

Chang, T. S., 268

Cohen, M., 214, 373, 499

Cope, R. J., 500

Cormeau, I., 119, 317, 318, 500

Cowper, G. R., 153

Crisfield, M. A., 498, 501

Darwin, D., 500

Davies, J. D., 499

Davies, T. G., 502

Davis, E. M., 268

Deruntz, J. A., 463, 497

Desai, C. S., 11

Dhatt, G., 498

Dinis, L. M. S., 318, 500

Duncan, W., 500

Dunne, P. C., 499

Duwez, P., 318

Dym, C. L., 153

Elsawaf, A. F., 501

Epstein, H. I., 429

Fanelli, M., 501

Felippa, C. A., 463, 497, 501

Fletcher, R., 501

Frederick, D., 268

Fredriksson, B., 497

Frey, F., 498, 500

Fried, I., 501

Fröier, M., 269

Gallagher, R. H., 11, 498

Geradin, M., 500

Gilbert, R. F., 500

Gomez, A. E., 496

Goodier, J. N., 214

Haisler, W., 318

Hanü, F. R., 500

Hanley, J. T., 373

Harley, S. J., 499

Haroun, M., 214, 499

Hestenes, M., 501

Hill, R., 31, 94, 119, 214, 268, 497

Hinton, E., 11, 31, 94, 152, 153, 214, 268, 373, 429, 430, 463, 496, 497, 498, 499, 501

Hodge, P. G., 268

Hoffman, O., 268

Hogge, M. A., 500

Horrigmoe, G., 498

Hughes, T. J. R., 153, 214, 318, 373, 462, 463, 497, 499

Hutchinson, J. W., 497

Irons, B. M., 214, 429, 499, 500, 501

Jennings, A., 94, 501

Jofreit, J. C., 500

Johnarry, T., 500

Johnson, G. R., 429

Kanchi, M. B., 318

Kanoknukulchai, S., 153

Kelly, D. W., 502

Kemp, K. O., 373

Kershaw, D. S., 501

King, I. P., 31, 268

Knott, J. F., 497

Koiter, W. T., 268

Kostem, C. N., 373, 498

Krakeland, B., 499

Kramer, J. M., 269

Krieg, D. B., 269

Krieg, R. D., 269

Kulak, R. F., 269

Laird, W. M., 497

Larsen, P. K., 499

Leung, K. H., 497

Levine, H. S., 268, 373, 497

Levy, N., 497

Lightfoot, E. N., 497

Lin, C. S., 500

Lin, T. H., 429

Liu, S. C., 429

Liu, W. K., 462

Lopez, L. A., 373

Lyness, J. F., 31, 497

Mackerle, J., 497

Malik, G. M., 501

Malkus, D., 499

Marcal, P. V., 497

Martins, R. A. F., 500

Matthies, H., 500

McClintock, F., 497

McNiece, G. M., 373, 500

Metzler, J., 501

Mohraz, B., 496

Mote, C. D. J., 501

Mullen, R., 462

Mustoe, G. G. W., 502

Nagarajan, S., 429, 463

Nayak, G. C., 268, 318, 429, 496, 500

Naylor, D. J., 496

Nickell, R. E., 429

Nilsson, L., 496

Noor, A. K., 499

Oden, J. T., 11, 31

Olszak, W., 317

Ostergren, W. J., 497

Owen, D. R. J., 11, 31, 94, 152, 153, 214, 268, 317, 318, 373, 429, 430, 496, 497, 499, 500

Ozdemir, H., 429, 463

Pande, G. N., 318

Park, K. C., 463, 497

Paul, D. K., 463

Peano, A. M., 501

Pencold, D. A., 500

Perzyna, P., 317

Phillips, D. V., 496

Pica, A., 429, 498, 501

Pifko, A., 268, 373, 497

Pister, K. S., 463

Polak, E., 501

Popov, E. P., 429, 463, 499

Powell, G. H., 502

Prager, W., 268

Prakash, A., 94, 318

Price, J. W. H., 496

Pugh, E. D. L., 499

Putali, R. S., 498

Raghavan, K. S., 430

Ralston, A., 94

Ramm, E., 499

Rao, P. U., 500

Rao, S. S., 430

Razzaque, A., 499

Reeves, C. M., 501

Reisemann, W., 318

Rheinboldt, W. C., 502

Riccioni, R., 501

Rice, J. R., 497

Rock, T. A., 429

Rosengrun, G. F., 497

Row, D. G., 502

Sachs, G., 268

Sakurai, T., 268

Salonen, E. M., 496

Salvadori, M. G., 94

Samuelsson, A., 269

Sandella, L., 501

Scharpf, D. W., 31

Schnobrich, W. C., 496, 500

Schofield, A. N., 496

Schrem, E., 502

Schreyer, H. L., 269

Seegerlind, L. J., 31

Shames, I. H., 153

Shantaram, D., 430, 499

Shieh, C. L., 496

Skelland, A. N. P., 497

Soreide, T., 501

Stewart, W. E., 497

Stiefel, E., 501

Strang, G., 500

Stricklin, J. A., 318

Taylor, R. L., 153, 318, 463, 499

Timoshenko, S. P., 214

Too, J. M., 499

Tracey, D. M., 497

Turvey, G., 373

Underwood, P., 501

Valanis, K. C., 496

Valliappan, S., 31, 268

Wachspress, E. L., 501

Warner, R. F., 500

Wegmuller, A. W., 373, 498

Wegner, R., 500

White, G. N., 268

Wilson, E. L., 214, 429, 463, 501

Wood, R. D., 498

Wroth, C. P., 496

Yamada, Y., 268

Yen, H. J., 462

Yoshimura, N., 268

Zave, P., 502

Zienkiewicz, O. C., 11, 31, 94, 268, 317, 318, 429, 496, 497, 499, 502

SUBJECT INDEX

Accelerogram, 399, 425, 427

Ahmad elements, 489

Alternative form of the yield criterion, 229

Alternative material models, 465

Array initialisation, 238, 297

Associated plasticity, 224, 273

Axisymmetric Mindlin plates, 372

Axisymmetric problems, one dimension, 92

Axisymmetric solids, elastic expressions, 165

Back substitution, 45, 48

Backward difference method, 274

Banded equations, 45, 58

Bauschinger effect, 90, 222, 309

Beams on elastic foundations, 151

Berg yield criterion, 265

BFGS procedures, 491

Bingham plastic, 483

Body forces, 164

Boundary data, 38, 206

Boundary element methods, 493

Boundary tractions, 164

Buffer area, 195

Central difference time stepping scheme, 388

Circular plate, elasto-plastic, 264

Cohesion, 219

Combined initial/tangential algorithm, 21, 41, 206

Computational techniques, 495

Concrete nonlinearity, 477

Conditional stability, 276, 302, 391, 437

Conjugate gradient method, 492

Consistent load vector, 173, 183, 188, 214

Constitutive matrix, D:

Dynamic applications, 413

Elastic, 163, 165, 167, 169, 192, 193, 232, 233

Elasto-plastic, 227, 244

Elasto-plastic Mindlin plates, 326

Visco-plastic, 274, 286

Convergence, 14, 21, 65, 72, 109, 212, 267, 297, 336, 451

Coupled-field problems, 487

Crack tip elements in plasticity, 487

Creep buckling, 317

Critical state model, 476

Cylinder:

Elasto-plastic, 262

Elasto-viscoplastic, 310

Damping forces, 379, 390

Deformation Jacobian matrix, 382, 404

Diagonal mass matrix, 389, 392, 410

Distortional strain energy, 219, 265

Distributed edge loading, 184

DruckerPrager yield criterion, 220, 230

Dynamic dimensioning, 174, 238, 396

Dynamic equilibrium equations, 378

Dynamic relaxation, 493

Dynamic transient analysis; 377

Discretisation by isoparametric elements, 379

Equilibrium equations, 378

Geometric nonlinearity, 382

Modelling of nonlinearities, 381

Effective, generalised or equivalent plastic strain, 223

Effective, generalised or equivalent stress, 218

Effective stiffness matrix, implicit dynamic, 435

Effective stress level, 239

Elasto-plastic general solution process, 235

Elasto-plastic one-dimensional problems, 26

Elasto-plastic stress/strain relation, 224

Elasto-plasticity, matrix formulation, 227

Elasto-plasticity, two-dimensional, 232

Element, one-dimensional, 24, 25, 100

Element shape functions, 24, 158, 159, 160, 179

Endochronic theory, 479

Equation assembly and solution, 42, 194

Equation reduction or elimination, 45

Equation resolution, 21, 57, 194

Equation solution, numerical example, 43

Equilibrium correction, 101, 107, 276, 289

Equilibrium equations, 13, 236, 275, 321

Error diagnostics, 200, 202, 214, 360

Euler-Bernoulli beam theory, 121

Euler's rule, 99, 273

Explicit time stepping, 273, 302, 377, 378, 431

Failure criterion, 223

Flow problems, 480

Flow rule, 224

Flow vector, 227, 233, 241, 338, 419

Fluidity parameter, 97, 273

Forward difference method, 273

Fracture mechanics, 484

Friction slider, 95

Frontal equation solution, 194

Further applications, 465

Galerkin process, 23, 29

Gas diffusion, 22, 68

Gaussian direct elimination, 45

Gaussian quadrature data, 179

Geometric data, 36, 206

Geometric nonlinearity, 274, 316, 382

Global shape functions, 23

Gravity dam, seismic example, 424

Gravity loading, 183

Green strains, 383

Groundwater flow problems, 90

Heat conduction, 22, 29, 66

Heterosis element, 319, 325, 370

Hierarchical formulation, 325

Hyperelastic problems, 25

Implicit/explicit time stepping, 377, 431, 434

Implicit time stepping, 274, 302, 377, 431

Implicit trapezoidal time stepping scheme, 274, 302

Improved numerical techniques, 466, 490

Incrementation of load, 60, 110, 210

Inertia forces, 379

Initial stiffness method, 20, 29, 41, 206

In-plane deformation in plates, 372

Input data, 35, 205, 281, 399

Instructions for preparing input data for dynamic transient problems:

Programs DYNPAK and MIXDYN, 521

Instructions for preparing input data for one-dimensional problems:

Program ELPLAS, 506

Program NONLAS, 506

Program QUITER, 503

Program QUNEWT, 505

Program TIMLAY, 509

Program TIMOSH, 508

Program UNVIS, 507

Instructions for preparing input data for plane, axisymmetric and plate bending problems:

Programs MINDLIN and MIND-LAY, 517

Program PLANET, 511

Program VISCOUNT, 516

Interactive computing, 495

Internal friction angle, 219

Isoparametric elements:

Lagrangian 9-node, 5, 157

Linear 4-node, 5, 157

Serendipity, 8-node, 5, 157

Isoparametric finite element representation, 169

Isotropic hardening, 222

J contour integral, 485

Jacobian matrix, 17, 24, 171, 181

Kinematic hardening, 222, 309

Kirchhoff thin plate theory, 319

Lagrangian description, 382

List of computer programs, 466

List of subroutines:

One-dimensional applications, 467

Two-dimensional applications, 469