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= | 200 | NOUTD= | 1 | NOUTP= | 20 |
| NREQD= | 1 | NREQS= | 1 | NACCE= | 1 |
| IFUNC= | 1 | IFIXD= | 0 | MITER= | 5 |
| KSTEP= | 201 | IPRED= | 2 | | |
| DTIME= | .5000E-05 | DTEND= | .1000E-02 | DTREC= | 0. |
| AALFA= | 0. | BEETA= | 0. | DELTA= | .2500 |
| GAAMA= | .5000 | AZERO= | 0. | BZERO= | 0. |
| OMEGA= | 0. | TOLER= | .1000E-03 | | |
SELECTIVE OUTPUT REQUESTED FOR FOLLOWING
TYPE OF ELEMENT, IMPLICIT=1, EXPLICIT=2
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| $ | INITIAL | X-DISP. | | INITIAL | Y-DISP. | | | |
| 53 | 0. | | | 0. | | | | |
| NODE | INITIAL | X-VELO. | | INITIAL | Y-VELO. | | | |
| 53 | 0. | | | 0. | | | | |
LOAD CASE TITLE - DISTRIBUTED STEP PRESSURE P=600LB/IN
LOAD INPUT PARAMETERS
| POINT LOADS | 0 |
| GRAVITY | 0 |
| EDGE LOAD | 1 |
| TEMPERATURE | 0 |
NO. OF LOADED EDGES = 10
LIST OF LOADED EDGES AND APPLIED LOADS
| 1 | 8 | 5 | 3 | | | |
| 600.000 | 600.000 | 600.000 | | 0.000 | 0.000 | 0.000 |
| 2 | 13 | 10 | 8 | | | |
| 600.000 | 600.000 | 600.000 | | 0.000 | 0.000 | 0.000 |
| 3 | 18 | 15 | 13 | | | |
| 600.000 | 600.000 | 600.000 | | 0.000 | 0.000 | 0.000 |
| 4 | 23 | 20 | 18 | | | |
| 600.000 | 600.000 | 600.000 | 0.000 | 0.000 | 0.000 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 5 | 28 | 25 | 23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 5 | | | | | | | | | | | | | | |
| 600.000 | 600.000 | 600.000 | 0.000 | 0.000 | 0.000 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 6 | 33 | 30 | 28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 600.000 | 600.000 | 600.000 | 0.000 | 0.000 | 0.000 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 7 | 38 | 35 | 33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 600.000 | 600.000 | 600.000 | 0.000 | 0.000 | 0.000 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 8 | 43 | 40 | 38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 600.000 | 600.000 | 600.000 | 0.000 | 0.000 | 0.000 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 9 | 48 | 45 | 43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 600.000 | 600.000 | 600.000 | 0.000 | 0.000 | 0.000 | | | | | | 0.000 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 10 | 53 | 50 | 48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
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 | | | |
| 2665555 | 5544444 | 43444434 | | | | | | | |
DISPLACEMENTS AT TIME STEP 20 TIME .10000000000E-03
| NNODE | X-DISP | Y-DISP | NNODE | X-DISP | Y-DISP | NNODE | X-DISP | Y-DISP |
| 1 | 0. | -.24848E-01 | 2 | 0. | -.24695E-01 | 3 | 0. | -.24531E-01 |
| 4 | -.49085E-03 | -.24866E-01 | 5 | -.47375E-03 | -.24549E-01 | 6 | -.10248E-02 | -.24900E-01 |
| 7 | -.96448E-03 | -.24721E-01 | 8 | -.90720E-03 | -.24585E-01 | 9 | -.16044E-02 | -.25115E-01 |
| 10 | -.13198E-02 | -.24815E-01 | 11 | -.20699E-02 | -.25440E-01 | 12 | -.19725E-02 | -.25296E-01 |
| 13 | -.18734E-02 | -.25137E-01 | 14 | -.23709E-02 | -.25414E-01 | 15 | -.25289E-02 | -.25071E-01 |
| 16 | -.26710E-02 | -.24905E-01 | 17 | -.28704E-02 | -.24721E-01 | 18 | -.30683E-02 | -.24530E-01 |
| 19 | -.31289E-02 | -.24240E-01 | 20 | -.33998E-02 | -.23877E-01 | 21 | -.37999E-02 | -.23915E-01 |
| 22 | -.37049E-02 | -.23738E-01 | 23 | -.36218E-02 | -.23626E-01 | 24 | -.46539E-02 | -.24268E-01 |
| 25 | -.39278E-02 | -.24100E-01 | 26 | -.55678E-02 | -.25249E-01 | 27 | -.50092E-02 | -.25194E-01 |
| 28 | -.44634E-02 | -.25182E-01 | 29 | -.63749E-02 | -.26559E-01 | 30 | -.52828E-02 | -.26501E-01 |
| 31 | -.68507E-02 | -.27577E-01 | 32 | -.65811E-02 | -.27518E-01 | 33 | -.62954E-02 | -.27401E-01 |
| 34 | -.68161E-02 | -.27664E-01 | 35 | -.72519E-02 | -.27166E-01 | 36 | -.61665E-02 | -.26284E-01 |
| 37 | -.70370E-02 | -.25898E-01 | 38 | -.78691E-02 | -.25398E-01 | 39 | -.49158E-02 | -.23247E-01 |
| 40 | -.78646E-02 | -.21836E-01 | 41 | -.31688E-02 | -.18623E-01 | 42 | -.51687E-02 | -.17788E-01 |
| 43 | -.71196E-02 | -.16855E-01 | 44 | -.13242E-02 | -.13015E-01 | 45 | -.55782E-02 | -.10963E-01 |
| 46 | .15487E-03 | -.72526E-02 | 47 | -.16405E-02 | -.62975E-02 | 48 | -.35098E-02 | -.54896E-02 |
| 49 | .71525E-03 | -.26446E-02 | 50 | -.14080E-02 | -.13752E-02 | 51 | 0. | 0. |
| 52 | 0. | 0. | 53 | 0. | 0. | 54 | 0. | 0. |
STRESSES
| G.P. | RR-STRESS | ZZ-STRESS | RZ-STRESS | TT-STRESS | MAX P.S. | MIN P.S. | ANGLE | P.S. |
| ELEMENT NO. = | 1 | | | | | | |
| 1 | -.140401E+05 | -.297607E+03 | .102996E+02 | -.139518E+05 | -.297599E+03 | -.140401E+05 | -.043 | 0. |
| 2 | -.137677E+05 | -.163963E+03 | -.597302E+01 | -.138441E+05 | -.163961E+03 | -.137677E+05 | .025 | 0. |
| 3 | -.144323E+05 | .442655E+03 | .738033E+03 | -.141613E+05 | .479184E+03 | -.144688E+05 | -2.834 | 0. |
| 4 | -.133330E+05 | -.936998E+03 | .632685E+03 | -.136731E+05 | -.904790E+03 | -.133652E+05 | -2.914 | 0. |
| ELEMENT NO. = | 2 | | | | | | |
| 1 | -.152286E+05 | -.445944E+02 | .890663E+03 | -.148846E+05 | .747159E+01 | -.152807E+05 | -3.346 | 0. |
| 2 | -.125683E+05 | -.504156E+03 | .703159E+03 | -.130704E+05 | -.463311E+03 | -.126091E+05 | -3.324 | 0. |
| 3 | -.135150E+05 | -.291803E+03 | .500085E+03 | -.144796E+05 | -.272918E+03 | -.135339E+05 | -2.163 | 0. |
| 4 | -.143944E+05 | -.155896E+03 | .601210E+03 | -.137405E+05 | -.130555E+03 | -.144197E+05 | -2.414 | 0. |
| ELEMENT NO. = | 3 | | | | | | |
| 1 | -.114077E+05 | .321093E+03 | .890750E+03 | -.133350E+05 | .388356E+03 | -.114749E+05 | -4.318 | 0. |
| 2 | -.163302E+05 | -.869776E+03 | .130850E+04 | -.149798E+05 | -.759812E+03 | -.164402E+05 | -4.804 | 0. |
| 3 | -.119282E+05 | -.302176E+02 | .202031E+04 | -.130545E+05 | .303478E+03 | -.122619E+05 | -9.379 | 0. |
| 4 | -.153434E+05 | -.105963E+04 | .231258E+04 | -.149313E+05 | -.694548E+03 | -.157084E+05 | -8.971 | 0. |
| ELEMENT NO. = | 4 | | | | | | |
| 1 | -.140507E+05 | -.635684E+03 | .272355E+04 | -.136079E+05 | -.103829E+03 | -.145826E+05 | -11.050 | 0. |
| 2 | -.129503E+05 | -.771685E+03 | .251263E+04 | -.139120E+05 | -.273660E+03 | -.134483E+05 | -11.211 | 0. |
| 3 | -.162765E+05 | -.534438E+03 | .331560E+04 | -.144035E+05 | .135395E+03 | -.169463E+05 | -11.421 | 0. |
| 4 | -.105661E+05 | -.107081E+04 | .217283E+04 | -.128314E+05 | -.597214E+03 | -.110397E+05 | -12.296 | 0. |
| ELEMENT NO. = | 5 | | | | | | |
| 1 | -.169374E+05 | -.616907E+03 | .343220E+04 | -.150478E+05 | .755061E+02 | -.176298E+05 | -11.406 | 0. |
| 2 | -.985701E+04 | -.929878E+03 | .189549E+04 | -.123230E+05 | -.544081E+03 | -.102428E+05 | -11.504 | 0. |
| 3 | -.158004E+05 | -.584241E+03 | .320362E+04 | -.154607E+05 | .627411E+02 | -.164474E+05 | -11.418 | 0. |
| 4 | -.109975E+05 | -.917806E+03 | .197734E+04 | -.128391E+05 | -.543789E+03 | -.113715E+05 | -10.711 | 0. |
| ELEMENT NO. = | 6 | | | | | | |
| 1 | -.137487E+05 | -.310136E+03 | .270211E+04 | -.153590E+05 | .212832E+03 | -.142716E+05 | -10.954 | 0. |
| 2 | -.131377E+05 | -.977521E+03 | .241519E+04 | -.139613E+05 | -.515392E+03 | -.135998E+05 | -10.832 | 0. |
| 3 | -.100168E+05 | -.385414E+03 | .191198E+04 | -.146078E+05 | -.197402E+02 | -.103824E+05 | -10.827 | 0. |
| 4 | -.167785E+05 | -.117197E+04 | .363810E+04 | -.159001E+05 | -.365543E+03 | -.175849E+05 | -12.498 | 0. |
| ELEMENT NO. = | 7 | | | | | | |
| 1 | -.722734E+04 | .111484E+03 | .143221E+04 | -.134652E+05 | .381084E+03 | -.749694E+04 | -10.661 | 0. |
| 2 | -.192763E+05 | -.178155E+04 | .492010E+04 | -.173694E+05 | -.492791E+03 | -.205651E+05 | -14.678 | 0. |
| 3 | -.478449E+04 | -.226073E+03 | .140219E+04 | -.117250E+05 | .170709E+03 | -.518127E+04 | -15.800 | 0. |
| 4 | -.209663E+05 | -.258450E+04 | .619192E+04 | -.181578E+05 | -.693317E+03 | -.228575E+05 | -16.984 | 0. |
| ELEMENT NO. = | 8 | | | | | | |
| 1 | -.437572E+04 | -.157141E+03 | .160307E+04 | -.101811E+05 | .382897E+03 | -.491576E+04 | -18.618 | 0. |
| 2 | -.205255E+05 | -.290008E+04 | .724227E+04 | -.175949E+05 | -.306030E+03 | -.231196E+05 | -19.707 | 0. |
| 3 | -.569987E+04 | -.196356E+04 | .272300E+04 | -.856768E+04 | -.529486E+03 | -.713394E+04 | -27.774 | 0. |
| 4 | -.178667E+05 | -.303932E+04 | .725350E+04 | -.151639E+05 | -.811257E+02 | -.208249E+05 | -22.187 | 0. |
| ELEMENT NO. = | 9 | | | | | | |
| 1 | -.820383E+04 | -.168373E+04 | .434615E+04 | -.704395E+04 | .489173E+03 | -.103767E+05 | -26.563 | 0. |
| 2 | -.140072E+05 | -.338917E+04 | .689124E+04 | -.122639E+05 | .945125E+00 | -.173973E+05 | -26.195 | 0. |
| 3 | -.124091E+05 | -.260385E+04 | .807719E+04 | -.598991E+04 | .194216E+04 | -.169551E+05 | -29.372 | 0. |
| 4 | -.832578E+04 | -.512213E+04 | .347770E+04 | -.822056E+04 | -.289508E+04 | -.105528E+05 | -32.635 | 0. |
| ELEMENT NO. = | 10 | | | | | | |
| 1 | -.175228E+05 | -.441212E+04 | .989584E+04 | -.667527E+04 | .902688E+03 | -.228376E+05 | -28.239 | 0. |
| 2 | -.153824E+04 | -.224010E+04 | .286990E+04 | -.322046E+04 | .100211E+04 | -.478044E+04 | 41.514 | 0. |
| 3 | -.253810E+05 | -.152556E+05 | .109737E+05 | -.119169E+05 | -.823306E+04 | -.324035E+05 | -32.617 | 0. |
| 4 | .708117E+04 | .431688E+04 | .684627E+03 | .310099E+04 | .724144E+04 | .415661E+04 | 13.175 | 0. |
$$
\begin{array}{c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c} \end{array}
$$
# 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
Drucker–Prager 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