김경종
7.6 KiB
Load factor, 60, 210
Load vector, 13, 24, 183, 188, 405
Locking material, 30, 92
Lumped mass matrix, 389, 392, 410
Material properties, 37, 207, 281
Mathematical theory of plasticity, 215
Matrix inversion, 288
Maxwell model, 117, 302, 305
Mechanical sublayer method, 304
Metal forming problems, 482
Method of direct iteration, 14, 24, 40, 63
Method of successive approximations, 14
Midside nodal coordinate generation, 178, 341, 413
Mindlin plates: Elastic expressions, 167
Mindlin plates, elasto-plastic; 319
Discretisation, 324
Equilibrium equations, 321
Mindlin plates, elasto-plastic layered; 326
Nonlinear equilibrium equations, 327
Program structure, 355
Mindlin plates, elasto-plastic non-layered; 327
Nonlinear equilibrium equations, 329
Program structure, 331
Mohr-Coulomb yield criterion, 219, 230, 234
Newmark time stepping scheme, 432
Newton-Raphson method, 15, 24, 40, 68
No-tension model, 477
Non-associated flow rule, 476
Nonlinear elastic problems, 25, 74
Non-Newtonian fluid flow, 482
Normality condition, 224
Notched bend specimen, 5
Numerical integration, 174
Octahedral shear stress, 218
One-dimensional FORTRAN programs; 33
Direct iteration of quasiharmonic problems, 63
Elasto-plastic problems, 78
Elasto-viscoplastic problems, 104
Newton-Raphson solution of quasi-harmonic problems, 68
Nonlinear elastic problems, 74
One-dimensional nonlinear problems, 13
Output of results, 58, 211, 258, 342, 363, 414
Overlay method, 90, 304, 316
Overlay simulation of: Four parameter viscous model, 309
Three element viscous model, 309
Visco-elastic model, 308
Visco-elastic-plastic four parameter model, 309
Pi plane, 217
Piecewise linear strain hardening representation, 266
Piola-Kirchhoff stresses, 386
Plane Strain, elastic expressions, 164
Plane Stress, elastic expressions, 162
Plastic multiplier, 224
Plastic potential, 224, 273
Power law pseudoplastic, 483
Prandtl-Reuss equations, 225
Predictor-corrector algorithm, 434, 436
Prescribed displacements in equation solution, 46
Principal stress evaluation, 258
Profile equation solver, 436, 440
Program structure, 8, 34, 104, 134, 235, 281, 331, 355, 392, 440
Programming notation, 10
Pseudo-loads, viscoplastic, 100, 275
Quasi-harmonic equation, 22, 63, 68
Quasi-Newton method, 491
Rayleigh damping, 391
Residual forces, 15, 71, 76, 81, 102, 236, 249, 344, 364
Sample input data and line printer output:
Dynamic transient elasto-plastic explicit time integration example, 567
Dynamic transient elasto-plastic implicit/explicit example, 578
Elasto-plastic layered Timoshenko beam, 537
Non-layered elasto-plastic Mindlin plate problem, 558
One-dimensional direct iteration quasi harmonic example, 529
One-dimensional elasto-plastic problem, 531
Sample input data—contd.
One-dimensional elasto-viscoplastic problem, 535
Two-dimensional elasto-plastic problem, 542
Two-dimensional elasto-viscoplastic problem, 550
Seismic analysis, 377, 399, 424
Selective integration, 128, 325, 482
Shape function derivatives:
Cartesian, 171, 182
Local, 171
Shape function evaluation, 179, 346
Shells, elasto-plastic and geometrically nonlinear, 488
Singular points on the yield surface, 234
Space diagonal, 217
Sphere:
Elasto-plastic, 267
Elasto-viscoplastic, 315
Spherical shell, dynamic example, 421, 458
Starting algorithm for central difference scheme, 390
Steady state conditions, 104, 109, 279, 297
Stiffness matrix, 13, 24, 28, 100, 127, 142, 173, 244, 283, 348, 367, 439, 447
Strain energy function, 25
Strain hardening, 26, 222, 223
Strain matrix, B, 172, 191
Strain matrix, geometric nonlinear, 382, 395
Strain softening, 223
Stress intensity factor, 485
Stress invariants, 216, 233
Stress space, 217
Subroutines, elasto-plastic (additional): DIMEN, 238
FLOWPL, 243
INVAR, 239
LINEAR, 247
Master segment, 260
OUTPUT, 258
RESIDU, 249
STIFFP, 244
YIELDF, 241
ZERO, 238
Subroutines, elasto-plastic layered Mindlin plates (additional):
CHECK1, 360
DEPMPA, 360
Subroutines—contd.
FEAM, 355
LAYMPA, 360
MDMPA, 362
OUTMPA, 363
RESMPA, 364
STIMPA, 367
STRMPA, 369
Subroutines, elasto-plastic nonlayered Mindlin plates:
CONVMP, 336
DIMMP, 338
FEMP, 334
FLOWMP, 338
GRADMP, 340
INVMP, 340
MINDPB, 341
NODEXY, 341
OUTMP, 342
RESMP, 344
SFR2, 346
STIFMP, 348
STRMP, 353
SUBMP, 354
VZERO, 354
ZEROMP, 354
Subroutines, elasto-plastic (standard):
ALGOR, 209
CONVER, 212
INCREM, 210
INPUT, 205
Subroutines, elasto-viscoplastic (additional):
FLOWVP, 294
INVERT, 288
Master segment, 299
STEADY, 297
STEPVP, 289
STIFVP, 283
STRESS, 295
TANGVP, 286
ZERO, 297
Subroutines, elasto-viscoplastic transient dynamic analysis:
BLARGE, 395
CONTOL, 396
DYNPAK, 392
EXPLIT, 396
FIXITY, 397
FLOWVP, 398
FUNCTA, 399
FUNCTS, 399
INPUTD, 399
Subroutines—contd.
INTIME, 401
INVAR, 403
JACOBD, 404
LINGNL, 404
LOADPL, 405
LUMASS, 410
MODPS, 413
NODXYR, 413
OUTDYN, 414
PREVOS, 416
RESVPL, 417
YIELDF, 419
Subroutines, implicit/explicit transient dynamic analysis (additional):
ADDBAN, 444
ADDRES, 444
COLMHT, 445
DECOMP, 445
DINTOB, 446
GEOMST, 446
GSTIFF, 447
IMPEXP, 449
ITRATE, 451
LINKIN, 452
MIXDYN, 442
MULTPY, 454
REDBAK, 455
RESEPL, 456
Subroutines, one-dimensional:
ASSEMB, 49
ASTIF1, 70
BAKSUB, 54
CONUND, 72
CONVP, 109
DATA, 35
GREDUC, 51
INCLOD, 60, 110
INCVP, 107
INITAL, 59
Master segment, 61
Master segment (viscoplasticity), 111
MONITR, 65
NONAL, 40
REFOR1, 71
REFOR2, 76
REFOR3, 81
RESOLV, 57
RESULT, 58
STIFF1, 63
STIFF2, 75
STIFF3, 78
STUNVP, 106
Subroutines, Timoshenko beam analysis:
BEAM, 135
BEAML, 144
LAYER, 147
REFORB, 137
RFORBL, 146
STIFBL, 145
STIFFB, 136
Subroutines, two-dimensional (elastic):
BMATPB, 191
BMATPS, 191
CHECK1,200
CHECK2, 202
DBE, 194
ECHO, 201
FRONT, 194
GAUSSQ, 179
JACOB2, 181
LOADPB, 188
LOADPS, 183
MODPB, 193
MODPS, 192
NODEXY, 178
SFR2, 179
Substructuring, 493
Subterranean cavity, viscoplastic, 314
Tangent modulus, 26, 225
Tangential stiffness, 20, 26, 28, 236, 275, 327, 329
Tangential stiffness method, 20, 40, 206
Theorem of minimum total potential energy, 44
Time-step limitations:
Dynamic transient, 391, 426, 437
Elasto-viscoplastic, 102, 276
Timoshenko beam analysis; 121
Basic assumptions, 122
Element stress resultants, 128
Finite element idealisation, 125
Formulation of the stiffness matrix, 127, 142
Layered approach, 122, 141
Non-layered approach, 121, 122
Solution of nonlinear equations, 132, 143
Timoshenko layered beam program, TIMLAY, 144
Timoshenko non-layered beam program, TIMOSH, 135
Tolerance value, 65, 72, 298
Tresca yield criterion, 217, 230, 234
SUBJECT INDEX
Unconditional stability, 276, 302, 437
Uniaxial yield stress, 26, 219
Uniaxial tension test, 26, 225
Virtual work, 124, 162
Viscoelastic behaviour, 305, 308
Viscoplastic:
Strain increment, 273
Stress increment, 274, 295
Viscoplastic computational procedure:
One dimension, 103
Two dimensions, 278
Viscoplastic element stiffness formulation, 283
Viscoplastic flow function, 273, 286
Viscoplastic strain rate, 100, 272, 294, 398
Viscoplastic strain rate derivative matrix, 274, 279
Viscoplasticity, basic theoretical response:
Dynamic application, 381
One dimension, 98
Two dimensions, 272
Viscoplasticity in two dimensions, 271
Viscoplasticity in one dimension, 95
Viscosity coefficient, 97
Volume, elemental, 172
Von Mises yield criterion, 218, 230
Weighting functions, 23
Winkler foundation, 151, 372
Work hardening, 222, 223, 228
Yield criterion, 26, 216, 272, 326, 328
Yield function constants, 231, 234, 235
Yield moment, 129
Yield surface, 217