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| Smith I.M., Griffiths D.V. — Programming the finite element method |
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| Ïðåäìåòíûé óêàçàòåëü |
Programs analysis of elastic pin-jointed frames 116—122
Programs analysis of elastic rigid-jointed frames 128—135
Programs analysis of elastic-plastic beams or rigid-jointed frames 136—144
Programs analysis of plane free-surface flow 332—340
Programs analysis of plates 148—152
Programs analysis of the plane steady state Navier — Stokes equation 404—411
Programs analysis of the plane steady state Navier — Stokes equation (no global matrix assembly) 411—416
Programs axisymmetric "undrained" strain of elastic-plastic solids 295—300
Programs eigenvalue analysis of 3D elastic solids 556—560
Programs eigenvalue analysis of elastic beams 442—446
Programs eigenvalue analysis of elastic solid in plane strain 446—452
Programs eigenvalue analysis of elastic solid in plane strain (consistent mass) 452—457
Programs eigenvalue analysis of elastic solid in plane strain (lumped mass) 457—459
Programs forced vibration analysis of 3D elastic solid 561—565
Programs forced vibration analysis of 3D elasto-plastic solid 565—569
Programs forced vibration analysis of elastic beams 466—472
Programs forced vibration analysis of elastic solid in plane strain 472—477
Programs forced vibration analysis of elastic solid in plane strain (theta method) 478—483 492—496
Programs forced vibration analysis of elastic solid in plane strain (Wilson's method) 483—487
Programs forced vibration analysis of elastic solid in plane strain using rectangular uniform size 4-node quadrilaterals 487—491
Programs forced vibration analysis of elastic—plastic (von Mises) solid in plane strain 496—502
Programs forced vibrations 466—487
Programs general 2-(plane strain) or 3D analysis of elastic solids 195—204
Programs general 2-(plane) or 3D analysis of steady seepage 344—348
Programs general 2-(plane) or 3D analysis of the consolidation equation 382—385
Programs non-axisymmetric analysis of axisymmetric elastic solids 184—190
Programs plane analysis of the diffusion-convection equation (self-adjoint transformation) 386—391
Programs plane analysis of the diffusion-convection equation (untransformed solution) 391—396
Programs plane or axisymmetric analysis of steady seepage 324—331
Programs plane or axisymmetric analysis of the consolidation equation (theta method) 378—380
Programs plane or axisymmetric analysis of the consolidation equation (theta_0 method) 375—378
Programs plane or axisymmetric consolidation analysis 363—370
Programs plane or axisymmetric consolidation analysis (theta method) 371—374
Programs plane or axisymmetric strain analysis of an elastic solid 166—183
Programs plane strain bearing capacity analysis of elastic-plastic material 235—243
Programs plane strain bearing capacity analysis of elastic-plastic material (initial stress method) 266—271
Programs plane strain bearing capacity analysis of elastic-plastic material (no global stiffness matrix assembly) 271—275
Programs plane strain bearing capacity analysis of elastic-plastic material (viscoplastic method) 243—247
Programs plane strain consolidation analysis of Biot poro-elastic solid (absolute load version) 430—434
Programs plane strain consolidation analysis of Biot poro-elastic solid (incremental version) 416—423
Programs plane strain consolidation analysis of Biot poro-elastic-plastic material 424—430
Programs plane strain construction of elastic-plastic embankment 276—283
Programs plane strain construction of elastic-plastic excavation 286—293
Programs plane strain earth pressure analysis 253—260
Programs plane strain slope stability analysis 248—253
Programs stability analysis of elastic beams 145—148
Programs static equilibrium of linear elastic solids 166—214
Programs steady state flow 320—350
Programs timings of vectorised 212t
Propagation problems 52 64
Przemieniecki, J.S. 125 164
Quadrilateral elements, global matrix assembly for mesh 63t
Quadrilateral elements, local coordinates 55—60
Quadrilateral elements, mesh 62f
Quadrilateral elements, plane elastic analysis 73—76
Quadrilaterals (8-node) 79—80 177 581 586
Quadrilaterals (8-node), element stiffness matrix 177
Quadrilaterals (8-node), global node and element numbering 179f
Quadrilaterals (8-node), local node and freedom numbering 180f 188f
Quadrilaterals (9-node) 581 586
Quadrilaterals (9-node), local node and freedom numbering 198
Quadrilaterals 4-node 176 177f 578 580 586
Quadrilaterals, analytical integration 58—60
Quadrilaterals, numerical integration 58
Ramp loading 420 422f
Rankine passive mechanism 259
Rao, S.S. 21 53
Rayleigh damping coefficients 101 483
rearrange (parallel library) 611
rearrange_2 (parallel library) 611
Rectangular plate bending elements 41
Rectangular quadrilaterals, plane or axisymmetric consolidation analysis 363—370
rect_km (main library) 448 601
reduce (parallel library) 611
Reid, J.K. 92 107 455 464
reindex_fixed_nodes (parallel library) 611
Rice, J.R. 264 317
rigid_jointed (main library) 602
Rod elements 21—24
Rod elements, 2-node rods 583
Rod elements, node and freedom numbering 114f
Rod elements, node and freedom numbering (2D) 119f
Rod elements, node and freedom numbering (3D) 122f
Rod mass element 24
Rod stiffness matrix 21—24
rod_km (main library) 602
rod_mm (main library) 602
Routines, special purpose 72
Ruhe, A. 106
Sakurai, T. 317
sample (main library) 173 602
Sandhu, R.S. 100 107
Scalar characters, glossary 213 311 349 397 460 503 573
Scalar computers 3
Scalar integers, glossary 153 212—213 309 348—349 396 435 459—460 502 570—571
Scalar logicals, glossary 154 213 311 349 397 436 503 573
Scalar potential problems, degrees of freedom per node 88
Scalar reals, glossary 153—154 213 309—311 349 396—397 435—436 460 502—503 572—573
scatter (parallel library) 611
Scattering, gathering and 517
Schiffman, R.L. 423 440
Schlichting, H. 43 53
Scott, F.C. 108
Second order time dependent problems, solution of 100—106
seep4 (main library) 60 334 602
Seepage analysis 328 329f
SELECT CASE, construct 16
Selective reduced integration (SRI) 220—221
Serial and parallel programs, differences between 511—569
Shape functions, and element node numbering 583—589
shape_der (main library) 79 80 81 85 602
shape_fun (main library) 79 80 81 85 602
Shared memory systems 4
Sleijpen, G.L.G 66 67 107
Smith, I.M. 4 5 19 23 47 49 50 52 64 65 66 67 83 84 85 106 107 108 147 164 199 222 223 276 285 317 396 402 423 440 449 455 464 489 507 509 519 524 569 576
Software, applications 5—9
Soil stiffness 127
Solid elements, testing admissibility 199
Solids, element equations summary 43
Solution of coupled transient problems 98—100
Solution of coupled transient problems, absolute load version 99—100
Solution of coupled transient problems, incremental load version 100
Solution of first order time dependent problems 93—96
Solution of second order time dependent problems 100—106
Solution of second order time dependent problems, damping 102
Solution of second order time dependent problems, explicit methods 106
Solution of second order time dependent problems, inclusion of forcing terms 103
Solution of second order time dependent problems, modal superposition 101—103
Solution of second order time dependent problems, Newmark or Crank — Nicolson method 104—105
Solution of second order time dependent problems, Wilson's method 105
solve_band (main library) 599 603
spabac (main library) 173 239 328 483 603
spabac_gauss (main library) 419 446 603
sparin (main library) 173 239 328 482 490 603
sparin_gauss (main library) 419 423 446 603
Spatial discretisation, by finite elements 21—53
stability (main library) 603
| Stability analysis, of elastic beams 145—148
Static equilibrium of linear elastic solids 165—222
Static equilibrium of linear elastic solids, exercises 214—222
Static equilibrium of linear elastic solids, glossary 212—214
Static equilibrium of linear elastic solids, programs 166—214
Static equilibrium of structures 109—164
Static equilibrium of structures, exercises 155—164
Static equilibrium of structures, glossary 153—155
Static equilibrium of structures, programs 110—152
Static equilibrium problems 64
Static problems 43
Steady seepage, 1D analysis 320—324
Steady seepage, general 2-(plane) or 3D analysis 340—344
Steady seepage, general 2-(plane) or 3D analysis (no global conductivity matrix assembly) 344—348
Steady seepage, plane or axisymmetric analysis 324—331
Steady seepage, under sheet pile wall 326
Steady state equations 47—49
Steady state flow 319—355
Steady state flow, exercises 350—355
Steady state flow, glossary 348—350
Steady state flow, programs 320—350
Steady state Navier — Stokes analysis (3D) 543—551
Steady state problems 403
Stiff spring technique 123 173 360
stiff4 (main library) 60 604
Storage strategies 90f
Storage-saving strategies 106
Strain (3D), elastic solid 204—209
Strain analysis (3D) of an elastic-plastic slope 300—305
Strain analysis (3D) of elastic-plastic slope, viscoplastic strain method 305—309
Strang, G. 21 53
Stress invariants 226—228
Stress redistribution, initial stress method 256
Stress, and strain (3D) 38—40
Stress-strain behaviour 225—226
Structure charts 16—17 112 169 170f 455f 476f 477 481 485 499
Structure charts, Biot analysis 420f
Structure charts, element matrix assembly 73
Structure charts, element-by-element product algorithm 96f
Structure charts, explicit time integration 376f
Structure charts, implicit analysis of transient problems 360—361
Structure charts, matrix multiplication 17f
Structure charts, Navier — Stokes analysis with global matrix assembly 409f
Structure charts, pcg algorithm 207f
Structure charts, tangent stiffness approach 270
Structured programming 16—17
Structures, static equilibrium 109—164
subdomains 517—518
Subprogram libraries 14—16
subroutines 71
Subroutines for solution of linear algebraic equations 71t
Subroutines, equation solution 91t
Subroutines, geom library subroutines 605—607
Subroutines, main library subroutines 595—604
Subroutines, matrix-vector multiplication 72
Subroutines, parallel library subroutines 609—611
Subroutines, special purpose 86
Symmetric eigenvalue systems 67—68
Symmetric non-positive definite equations 67
Szabo, B.A. 34 53
Taig, I.C. 34 53 56 107
Tangent stiffness methods 264—275
Taylor, C. 46 53
Taylor, D.W. 282 293 317
Taylor, R.L. 21 53 108 186 222 232 317
Terzaghi's 1D consolidation theory 363
Tetrahedral elements 85—86
Tetrahedron, 14-node 581
Tetrahedron, 20-node 581
Tetrahedron, 4-node 85 197 200f 581 587
Tetrahedron, 8-node 581
Tetrahedron, constant strain 85 86
Tetrahedron, local node and freedom numbering 200f
Timoshenko, S.P. 32 36 37 38 40 53 101 107 147 151 164
Too, J. 108
Tracey, D.M. 264 317
Transient analysis, mesh-free strategies 371—380
Transient conditions 49
Transient flow (3D) explicit analysis in time 541—543
Transient flow (3D) implicit analysis in time 537—540
Transient problems 52 403
Transient problems, exercises 398—402
Transient problems, first order (uncoupled) 357—402
Transient problems, glossary 396—398
Transient problems, programs 358—396
Transient problems, structure chart for implicit analysis 360
TRANSPOSE, Fortran 95 intrinsic function 75
Tresca failure criterion 226 229 230 293
Tresca surface 234
Triangles, 10-noded 577 579 584
Triangles, 15-noded 174f 577 580 585
Triangles, 3-noded 169 170 172f 198 577 578 584
Triangles, 6-noded 81 577 584
Triangles, node numbering system 174 176
Triangles, numerical integration 61
Triangular elements, local coordinates for 60—61
Triangular elements, plane elastic analysis 76—77
Two-bay portal frame, proportional loading 140
Uncoupled problems 357—402
Uncoupled problems, exercises 398—402
Uncoupled problems, programs 358—380 382—396
Uncoupled problems, structure chart for implicit analysis 360
Undrained soil analysis 293—309
Unsymmetric systems 66—67
Valliappan, S. 317
van der Vorst, H.A. 67 106 107
Variable (tangent) stiffness method 224f
Variable names, glossary 212—214 309—313 348—350 396—398 435—439
vecmsh (main library) 604
Vector processors 3—4
Vector subscripts 10—11
Velocity shape functions 97
Verruijt, A. 338 356
Vertical elements, transformation angle 132 134f
Viscoplastic algorithm, structure chart 239 240f
Viscoplasticity 225 231—232
vmdp1 (main library) 604
vmflow (main library) 604
vmp1 (parallel library) 611
Von Mises criterion 228—229 264 591 594
Walker, D.W. 5 18
Wang, A. 524 576
Warburton, G.B. 472 507
Water, flow through dams 334
Weaver, W. 107
Whitman, R. 440
Wille, D.R. 3 19
Willson, S.M. 233 317 591
Wilson's method 105
Wilson, E.L. 43 52 100 107 186 222
Winget, J. 107
Woinowsky-Krieger, S. 40 53 151 164
Wong, S.W. 106 107 108 494 507
Yamada, Y. 233 317 591
Yoshimura, N. 317
Young, D. 107
Zienkiewicz, O.C. 21 53 57 58 60 106 108 186 222 231 232 233 235 259 317
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