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Crisfield M.A. Ч Non-Linear Finite Element Analysis of Solids and Structures. Vol. 1: Essentials
Crisfield M.A. Ч Non-Linear Finite Element Analysis of Solids and Structures. Vol. 1: Essentials

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Ќазвание: Non-Linear Finite Element Analysis of Solids and Structures. Vol. 1: Essentials

јвтор: Crisfield M.A.

јннотаци€:

Non-linear Finite Element Analysis of Solids and Structures Volume 1 : Essentials M.A. Crisfield Imperial College of Science, Technology and Medicine, London, UK Taking an engineering rather than a mathematical bias, this comprehensive book details the fundamentals of non-linear finite element analysis. The author explains how non-linear techniques can be used to solve practical problems. The main ideas of geometric non-linearity, continuum mechanics, plasticity, element technology and stability theory are explored in detail. The reader is also introduced to the recent research in this developing field. The computer programs in the text are available on the Internet via anonymous ftp, using the URL ftp://cc.ic.ac.uk, directory /pub/depts/aero/nonlin. These useful finite element computer programs illustrate many of the ideas considered in the book. The logic can also be followed without these finer details since these computer programs and subroutines are also represented by examples and flowcharts. The second volume will address advanced topics such as large strains and large rotations, plasticity with a range of yield criteria and hardening rules, stability theory and advanced solution procedures including branch-switching techniques, contact and friction, and non-linear dynamics. It will also include examples from an up-dated non-linear finite element computer program incorporating the advanced solution procedures.


язык: en

–убрика: ћатематика/„исленные методы/ онечные элементы/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1996

 оличество страниц: 362

ƒобавлена в каталог: 20.02.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
$K^1_1$ (or KTl) method      12
ABAQUS      154[A1] 178[A1]
Acceleration techniques, secant-related      310Ч314
Ahmad, S., Irons, B .M.& Zienkiewicz, O.C.      234[A1]
Allgower, E.L.      325[A1]
Allman, D.J.      235[A3] 242[A2] 255[A2] 326[A4]
Almansi strain      63Ч65 74 120 123 130 148 149
Almroth, B.O.      326[A5]
Ang, A.H.S.& Lopez, L.A.      2[A1]
Arc-length method      253 266Ч276
Arc-length method, automatic switching to      288
Arc-length method, cylindrical      276Ч286
Arc-length method, linearised      274Ч275
Arc-length method, spherical      273Ч274 285
Argyris, J.      235[A4]
Argyris, J.H.      2[A2] 2[A3]
Argyris, J.H., Balmer, H., Doltsinis, J.St., Dunne, P.C., Haase, M., Klieber, M., Malejannakis, G.A., Mlejenek, J.P., Muller, M.& Scharpf, D.W.      211[A1]
Argyris, J.H., Vaz, L.E.& Willam, K.J.      154[A2]
Armen, H.      152[A3]
Armen, H., Pifko, A.B., Levine, H.S.& Isakson, G.      2[A4]
Augmented stiffness matrix      273
Automatic increment cutting      288
Automatic increments      286Ч288
Axial strain      217
Axial symmetry      107Ч108 181
Axisymmetric membrane      142Ч144
Backlund, J.      234[B1]
Backward-Euler algorithm      174 180
Backward-Euler procedure      167 171 177 195Ч196
Backward-Euler return      176 181 189Ч191
Bar under uniaxial load      90
Bar under uniaxial tension or compression      62Ч65
Bar-spring problems      7 17 26
Bar-spring problems, imperfect buckling with two variables      51Ч55
Bar-spring problems, perfect buckling with two variables      50Ч51
Bar-spring problems, single variable with no spring      49Ч50
Bar-spring problems, single variable with spring      48Ч49
Bartholomew, P.      255[B1]
Bathe, K.J.      136[B2] 146[B2] 148[B2]
Bathe, K.J.& Bolourchi, S .      201 [B1] 225[B1] 234[R2] 236[B2] 243[B2]
Bathe, K.J.& Cimento, A.P.      310[B3]
Bathe, K.J.& Dvorkin, E.N.      324[B2]
Bathe, K.J., Ramm, E., & Wilson, E.      136[B1]
Batoz, J.L.& Dhatt, G.      273[B4] 275[B4]
Bauschinger effect      161Ч162
Beam-theory relationships      213
Beams, two-dimensional formulations      201Ч233
Belleni, P.X.& Chulya, A.      266[B5] 324[B5]
Belytschko, T.      122[B1]
Belytschko, T.& Glaum, L.W.      201[B3] 211[B3] 218[B3]
Belytschko, T.& Hseih, B.J.      201[B2] 211[B2] 225[B2]
Belytschko, T.& Hseih, J.      126[B2] 131[B2]
Belytschko, T.& Lin, J.I.      234[B4]
Belytschko, T.& Velebit, M.      2[B1]
Belytschko, T., Lin, J.& Tsay, C.-S.      234[B6]
Belytschko, T., Stolarski, H., Liu, W.K., Carpenter, N.& Ong, J.S.-J.      234[B7]
Belytschko, T., Wong, B.L.& Chiang, H.-Y.      234[B3] 235[B3]
Belytschko, T., Wong, B.L.& Stolarski, H.      234[B5]
Bending stresses and strains      213Ч214
Bergan, P.G.      287[B6] 288[B6]
Bergan, P.G.& Felippa, C.A.      235[B8]
Bergan, P.G.& Mollestad, E.      276[B10]
Bergan, P.G.& Soreide, T.      252[B7] 266[B7] 287[B7] 287[B9] 288[B7]
Bergan, P.G., Horrigmoe, G., Krakeland, B. & Soreide, T.H.      266[B8] 287[B8] 288
Besseling, J.F.      162[B1]
Bicanic, N.P.      168[B2]
Bifurcation problem      94Ч96 317Ч319
Bisplinghoff, R.L., Mar, J.M.& Pian, T.H.H.      104[B3]
Boolean matrix      82
Bordered equations      272Ч273
Braudel, H.J., Abouaf, M.& Chenot, J.L.      154[B3] 167[B3] 178[B3]
Brebbia, C.& Connor, J.      2[B2]
Brink, K.& Kratzig, W.B.      201[B4]
Brittle collapse      266
Brodlie, K.W., Gourlay, A.R.& Greenstadt, J.      307[B11] 308[B11] 309[B11]
Broyden, C.G.      307[B12] 307[B13] 308[B12] 309[B13]
Buckley, A.& Lenir, A.      311[B15]
Buckley, A.G.      308[B14] 311[B14]
Buckling criterion      16
Burgoynne, C.& Crisfield, M.A.      206[B5]
Bushnell, D.      155[B4] 167[B4] 172[B4] 173[B4]
Calladine, C.R.      234[C1]
Carey, G.F.& Bo-Nan, J.      253[C1] 314[C1] 325[C1]
Carnoy, E.      326[C2]
Carpenter, N., Stolarski, H.& Belytschko, T.      234[C2] 235[C2] 236[C2] 238[C2] 239[C2] 240[C2] 242[C2] 244[C2] 247[C2]
Cartesian coordinate system      78
Cartesian displacements      78
Cassel, A.C.      325[C3]
Cauchy stresses      121Ч125 132 146Ч148
Centroidal approach      2
Chen, W.F.      152[C2]
Clarke, M.J.& Hancock, G.J.      324[C4]
Closest point algorithm      174
Clough, R.W.& Tocher, J.L.      234[C3] 236[C3]
Cole, G.      219[C1]
Combined incremental/iterative solution, computer program      45Ч48
Combined incremental/iterative solution, flowchart      44
Combined incremental/iterative solution, using full or modified Newton Ч Raphson iterations      10Ч13
Complementarity condition      193
Computer program, NONLTA      37 48 51
Computer program, NONLTB      3 9 4 1
Computer program, NONLTC      45Ч49
Computer program, NONLTD      298Ч303
Computer program, updating      291Ч307 see
Consis tent tangents      191Ч192
Consistent tangent modular matrix      167 178Ч181
Consistent tangent modular matrix for plane stress      184
Constitutive laws      132Ч133
Constrained Mindlin Ч Reissner formulation      239
Continuation method      2
Continuum mechanics      104Ч136
Convergence criteria      289Ч290
Corotational element, using Kirchhoff theory      21 1Ч19
Corotational element, using Timoshenko beam theory      219Ч220
Corotational formulation      219
Corotational formulation, using engineering-strain      77Ч80
Corotational stresses and strains      131Ч132
Cowper, G.R.      203[C2] 207[C2] 208[C2] 109[C2] 210[C2] 225
Crisfield, M.A.      34[C2] 154[C3] 154[C4] 155[C3] 171[C3] 178[C4] 201[C5] 207[C7] 211[C6] 211[C7] 213[C6] 214[C6] 235[C9] 235[C12] 236[C5] 236[C6] 236[C7] 236[C10] 236[C11] 239[C5] 239[C6] 240[C5] 240[C6] 242[C4] 242[C7] 242[C11] 252[C17] 252[C20] 254[C16] 256[C9] 256[C16] 266[C11] 266[C14] 266[C19] 269[C11] 269[C20] 270[C14] 270[C15] 274[C11] 278[C16] 280[C19] 286[C11] 286[C15] 286[C22] 287[C11] 288[C11] 290[C15] 310[C7] 310[C9] 310[C10] 310[C13] 310[C17] 311[C5] 311[C7] 311[C8] 311[C13] 312[C8] 324[8] 324[C11] 324[C16] 324[C17] 324[C19] 325[C5]
Crisfield, M.A.& Cole, G .      201[C3] 211[C3]
Crisfield, M.A.& Puthli, R.S.      201[C4] [C4]
Crisfield, M.A.& Wills, J.      236[C8] 238[C8] 242[C8] 269[C18] 270[C12] 278[C6] 286[C12] 288[C6] 289[C18] 290[C6] 291[C6]
Crisfield, M.A., Duxbury, P.G.& Hunt, G.W.      26[C1]
Current iterative direction      290
Current stiffness parameter      288
Cut-outs      311Ч312
Cylindrical arc-length method      276Ч286
Davidenko, D.F.      253[D1] 314[D1]
Davidon, W.C.      307[D2] 307[D3] 309[D3]
Dawe, D.J.      207[D1]
Day, A.S.      325[D4]
de Borst, R.      164[D1] 270[D5] 274[D5]
Decker, D.W.& Keller, H.B.      326[D6]
Decomposition theorem      131
Degenerate-continuum approach      235
Degenerate-continuum element using total Lagrangian formulation      243Ч247
Den Heijer, C.& Rheinboldt, W.C.      286[D7] 287[D7]
Dennis, J.E.& More, J.      252[D8] 287[D8] 307[D8] 308[D8]
Desai, C.S.& Siriwardane, H.J.      132[D1] 133[D1] 152[D2]
Deviatoric components      108Ч109 164
Deviatoric space      171
Deviatoric stresses      163
Discrete Kirchhoff formulation      239
Discrete Kirchhoff hypothesis      236
Displacement control      4
Displacement derivative matrix      116
Displacement derivative tensor      137
Dodds, R.H.      152[D3] 156[D3]
Drilling rotation      235
Drucker, D .C .      15 2[ D4]
Dupius, G.A., Hibbit, H.D., McNamara, S.F. & Marcal, P.V.      2[D1] 26[D1]
Duxbury, P.G., Crisfield, M.A.& Hunt, G.W.      26[D1]
Dvorkin, E.N.& Bathe, K.J.      234[D1]
E-values      74 76 205
Eccentricity      205Ч206
Eigenvalue problem      128
Elastic response      148Ч149
Elastic stiffness matrix      2
Elastic/perfectly plastic von Mises material under plane stress      156Ч159
Elasto-plastic material      144Ч146
Elasto-plastic modular matrix      156Ч159
Elasto-plastic tangent stiffness matrix      152
Elasto-plasticity      152
Engineering-strain, corotational formulation using      77Ч80
Epstein, M.& Murray, D.W.      201[E1]
Equilibrium path      9
Eriksson, A.      270[E2]
Eriksson, E.      289[E3] 324[E1]
Euclidean norm      289
Eulerian strain      120
Eulerian triad      129
Felippa, C.A.      253[F1] 274[F1] 274[F2] 324[F1] 325[F2] 325[F4]
Finite differences      152
Finite element computer program      261Ч264
Finite element formulation      137Ч139
Finite element method      152
Fink, J.P.& Rheinboldt, W.C.      270[F5]
Fletcher, R.      193[F1] 252[F7] 254[F7] 255[F7] 256[F7] 274[F7] 307[F6] 307[F7] 308[F6] 308[F7]
Fletcher, R.& Reeves, C.M.      325[F8]
Flow rule      193 194
Forde, B.W.R.& Sttemer, S.F.      266[F9] 275[F9]
Fortran computer program      23Ч56
Fortran subroutines      26Ч36
Fortran subroutines for general truss elements      85
Fortran subroutines for main structural iterative loop      280Ч285
Fortran subroutines to find new step length      258Ч261
Fortran subroutines, ACCEL      312Ч314
Fortran subroutines, application of arc-length constraint      276Ч280
Fortran subroutines, ARCL      278Ч280
Fortran subroutines, BCON      32Ч34
Fortran subroutines, CROUT      34Ч35
Fortran subroutines, ELEMENT      27Ч28
Fortran subroutines, ELSTRUC      31Ч32
Fortran subroutines, FORCE      30Ч31
Fortran subroutines, INPUT      29Ч30 87Ч88
Fortran subroutines, INPUT2      296Ч298
Fortran subroutines, ITER      280Ч285
Fortran subroutines, LSLOOP      292Ч294
Fortran subroutines, NEXINC      305Ч307
Fortran subroutines, QSOLV      278Ч280
Fortran subroutines, SCALUP      303Ч305
Fortran subroutines, SEARCH      259Ч261
Fortran subroutines, SOLVCR      35Ч36
Forward Ч Euler integration      185Ч188
Forward Ч Euler predictor      28 6
Forward Ч Euler procedure      166 167 170
Forward Ч Euler relationships      182
Forward Ч Euler tangential algorithm      174
Fox, L.& Stanton, E.      307[F10]
Frankel, S.P.      325[F11]
Frey, F.& Cescotto, S.      201[F1] 234[F1] [F1]
Fried, I.      275[F12]
Frieze, P.A., Hobbs, R.E.& Dolwing, P.J.      325[F13]
Gallagher, R.J.& Padlog, J.      2[G1]
Gallagher, R.J., Gellatly, R.A., Padlog, J.& Mallet, R.H.      2[G2]
Gauss point      166 167 221 223 224 256
Gaussian integration      206 210Ч211
General isoparametric element      223Ч225
Generalised displacement control      27 1Ч6
Geometric matrix      4
Geometric non-linearity      1
Geometric non-linearity with one degree of freedom      2Ч1 3
Geometric non-linearity with two variables      13Ч19
Geometric stiffness matrix      2 73 209 21 1
Georg, K.      325[G1]
Geradin, M., Idelsohn, S .& Hogge, M.      325[G1]
Gerdeen, J.C., Simonen, F.A.& Hunter, D.T.      2[G3]
Gierlinski, J.T.& Graves-Smith, T.R.      310[G2]
Gill, P.E.& Murray, W.      254[G4] 256[G4] 266 274[G3] 276[G3] 307[G4]
Green elastic materials      132
Green Ч Lagrange strain tensor      116
Green's strain      59 63 70 73 75 81 130 136 138 146 149 201
Green's strain, truss element based on      65Ч75
Green's strain, virtual work expressions using      118Ч119
Green, A.E.& Zerna, W.      104[G1]
Gupta, A.K.& Ma, P.S.      207[G1]
Haefner, L.& Willam, K.J.      201[H2]
Haftka, R.T., Mallet, R.H.& Nachbar, W.      326[H1]
Haisler, W.E., Stricklin, J.E.& Stebbins, F.J.      2[H1] 12[H1]
Hardening concepts      159Ч162
Hardening solution with one variable      93Ч94 16Ч11
Hardening solution with two variables      98Ч100 322Ч323
Harris, H.G.& Pifko, A.B.      2[H2]
Haselgrove, C.B.      266[H2] 275[H2]
Hestenes, M.& Steifel, E.      325[H3]
Hibbitt, H.D.      154[H1] 178[H1] 193[H1] 194[H1]
Hierarchical displacement functions      21 0
Hill, R.      152[H2] 160[H2] 161[H2] 193[H2]
Hinton, E.& Ezzat, M.H.      185[H4]
Hinton, E., Abdal-Rahman, H.H.& Zienkiewicz, O.C.      310[H4]
Hinton, E., Hellen, T.K.& Lyons, L.P.R.      185[H3]
Hodge, P.G.      152[H5]
Holand, I.& Moan, T.      2[H3]
Honigmoe, G.& Bergan, P.G.      234[H1] 235[H1] 242[H1]
Hsiao, K.M.& Hou, F.Y.      201[H1] 211[H1]
Hu Ч Washizu variational principle      207
Huang, H.C.& Hinton, E.      234[H2]
Huffington, N.G.      167[H6] 172[H6]
Hughes, T.J.R.      234[H5]
Hughes, T.J.R.& Hinton, E.      235[H4]
Hughes, T.J.R.& Liu, W.K.      234[H3]
Hughes, T.J.R.& Pister, K.S.      153[H7]
Hughes, T.J.R., Ferencz, R.M.& Hallquist, J.O.      325[H6]
Hughes, T.J.R., Levit, I.& Winget, J.      325[H5]
Hunter, S.C.      104[H1]
Hyperelastic materials      132 133
Hyperplane control method      276
Hypoelastic materials      133 144Ч146
Ilyushin, A.A.      152[11]
Implicit formulation      195Ч196
Inconsistent tangents      191Ч192
Incremental formulation, approximate      149Ч150
Incremental formulation, involving updating after convergence      147Ч148
Incremental mid-point algorithm      85
Incremental procedures      2
Incremental solution      6Ч8
Incremental solution, computer program      37Ч38
Incremental solution, flowchart      36Ч37
Incremental solution, using program NONLTA      4 8 5
Incremental strains      144Ч146 155Ч156
Incremental/iterative control input      294Ч296
IncrementaNterative solution, using program NONLTC      49
IncrementaNterative solution, using program NONLTC with displacement control      55
IncrementaNterative solution, using program NONLTC with large increments      54Ч55
IncrementaNterative solution, using program NONLTC with small increments      52Ч54
Inextensional bending      207
Initial displacement      4
Initial displacement matrix      2
Initial local slopes      219
Initial slope matrix      4
Initial stress matrix      4 13 15 16 26 73 153 209 219
Initial stress method      2 10Ч13
Internal force vector      68Ч70 240Ч241
Intersection point      185
Irons, B.& Elsawaf, A.      311[11]
Irons, B.M.& Ahmad, S.      235[11]
Isoparametric degenerate-continuum approach      225Ч229
Isotropic hardening      152
Isotropic strain hardening      159Ч160
Isotropic work hardening      160Ч161
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