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Libai A., Simmonds J.G. — The Nonlinear Theory of Elastic Shells
Libai A., Simmonds J.G. — The Nonlinear Theory of Elastic Shells

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Название: The Nonlinear Theory of Elastic Shells

Авторы: Libai A., Simmonds J.G.

Аннотация:

Elastic shells are pervasive in everyday life. Examples of these thin-walled structures range from automobile hoods to basketballs, veins and arteries, and soft drink cans. This book provides the physical and mathematical basis for the quantitative analysis of the behavior of such shells and presents numerous applications. As a second edition, it not only brings all the material of the first edition entirely up to date; it also adds two entirely new chapters on general shell theory and general membrane theory. Aerospace, mechanical, and civil engineers, as well as applied mathematicians, will find this book a clearly written and thorough information source on shell theory.


Язык: en

Рубрика: Технология/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: second edition

Год издания: 1998

Количество страниц: 542

Добавлена в каталог: 19.10.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
"Best" theory linear      79 479
"Best" theory nonlinear      200
Acceleration      12 38 77 110 282 285 286 398 443 496
action      40
Action integral      40
Action-at-a-distance      86 182
Adjacent equilibrium      126 130
Adjustable shape      262 406
Admissible axial force      42 44
Admissible deformation field      73 126 303
Admissible deformed position      115 291 359
Admissible displacement      41 42 126 127
Admissible function      39 42 43 73
Admissible kinematic element      173
Admissible kinematic field      115 126
Admissible kinematically      126
Admissible set      173 175 297 298 303
Admissible strain      42
Admissible variation      39 41 42 115 175 410
Admissible virtual displacement      410
Air-supported structure      272 277 278
Airbag      419
Angle of twist (local)      288
Angular discontinuity      261 418 422 423 436 448
Angular velocity      see “Velocity angular”
Anisotropic      1
Anisotropic general membrane      415 433
Anisotropic general shell      475 504
Apex (of an axishell)      159 186 224 232 243 244 262 270 277 278n 308 320 418 419
Apparent external mechanical power      30 31 60 142 169 324 402 463 473
arch      122 126
Arch shallow      123 135 136 312 313
Arch steep      124 125 132
Argument list      47
Asymptotic analysis      242
Asymptotic approximation      234 235 275
Asymptotic behavior      101 250 261
Asymptotic curve      434
Asymptotic decay rate      431
Asymptotic expansion      491
Asymptotic expansion matched      249 257
Asymptotic form      235 237 242 247
Asymptotic integration      224 249 250
Asymptotic limit      100 103 220
Asymptotic method      2 322
Asymptotic solution      237
Asymptotic state      275
Axial continuity      349
Axial deformation      349
Axial displacement (deformation, elongation, position, stretch) axishell      262 267 269 270 287 308 374 477
Axial displacement (deformation, elongation, position, stretch) beamshell      64 78
Axial displacement (deformation, elongation, position, stretch) curved tube      350
Axial equilibrium      267
Axial force (load) axishell      205 207 210 211 222 224 225 261—263 275 286 302 319
Axial force (load) beamshell      65 99 102 105 124 125
Axial force (load) beamshell modified      79
Axial force (load) helicoidal shell      363 368 378 380
Axial stress resultant      289
Axial tension      427
Axial torque axishell      275
Axial torque helicoidal shell      363 368 378
Axial vector      444
Axial velocity      see “Velocity axishell axial”
Axial wrinkles      355 435
Aximembrane      see “Membrane axi-“
Axiplate      see “Plate circular“
Axis of rotation      364
Axishell      5 11 31 44 159—341 343 345 346 348 349 352 357 359 360 362 368 372 414 417 453 490 494
Axishell as degenerate helicoidal shell      378
Axishell classical theory      178 180 181 202 203 301 349
Axishell conical      159 221—229
Axishell cylindrical      77 159 170 171 206—215 222 225 226 263 268 288 299 300
Axishell definition of      5 159 166
Axishell elastic      179
Axishell eversion      see “Eversion”
Axishell hemispherical      247
Axishell homogeneous      see “Material homogeneous axishell”
Axishell inextensional      303 383
Axishell isotropic, transversely homogeneous      160 180 182 184 187 328
Axishell isotropic, transversely nonhomogeneous      181
Axishell layered      181
Axishell mechanical theory of      178
Axishell pressure loaded      174 175 197 230 232 244 247 249 254 302 309 320
Axishell rubberlike      251n
Axishell shallow      205 206 216 226 227 229—232 235—248 261 287 288 298 302 309 311—313 318 320 322
Axishell spherical      229—249 302 303 318 320—322
Axishell spinning      247
Axishell thermoelastic      324
Axishell toroidal      249—259
Axishell twisted      288
Axishell under point (concentrated) load      182 186 230 232—244 309 318 320—322
Balance of momentum      see “Momentum”
Balloon      see “Rubber balloon“
Base curve      51 55 86 164 165 183
Base state (membrane)      423 424 426—428
Base vector Cartesian      51 160 413 427 445
Base vector, contravariant      397 398
Base vector, covariant (natural)      14 365 461
Base vector, covariant, deformed      16 398 427
Base vector, deformed      16
Base vector, orthonormal      11 51 160 410 427
Base vector, reciprocal, deformed      398
Base vector, rotated      348
Base vector, twisted      288
Base-reference deviation      55 82 86 145 164 181 184 185 457
Basis (frame)      51
Basis (frame) Cartesian      11 51 106 111 160 183 307 346 427 445 494
Basis (frame) deformed (current)      196 364 403 421 443 445 447 461 479 494 505
Basis (frame) dyadic      16
Basis (frame) for helicoidal shell      364
Basis (frame) in circular cylindrical coordinates      160 427
Basis (frame) in rz-plane (for axishell)      168 170 196 202 280 306 307
Basis (frame) in three-dimensions      11
Basis (frame) in xy-plane (for beamshell)      106—108 130
Basis (frame) initial (rest)      57 168 196 469
Basis (frame) intermediate      494
Basis (frame) orthononnormal      57 365 374n
Basis (frame) orthonormal      51 57 67 160 168 427
Basis (frame) reference (for general membrane)      399 403 411 443
Basis (frame) rotated      369 370 372
Basis (frame) spin      57 168 175 196 200 461 464 465 469 476 494 495
Basis (frame) twisted      288 372 375 413
Beamshell      5 6 11 31 43 44 51—157 343
Beamshell cantilevered      97 113
Beamshell circular      87 101—103 106 111 120 124 125 130—132 135n (see
Beamshell classical      82 85 108 109 148
Beamshell definition of      5 56
Beamshell edge      51 53
Beamshell elastic      81—94
Beamshell face      51 53
Beamshell flat (straight)      54 64 83 87 89 90 93 96 97 100—103 109 112 113 146
Beamshell homogeneous      see “Material homogeneous beamshell”
Beamshell inextensional      96—100 102 103 105 113 114 125 132
Beamshell membrane      99
Beamshell membrane effect      146n
Beamshell membrane force      99
Beamshell membrane model      100 101 103
Beamshell membrane solution      102
Beamshell membrane-inextensional      102
Beamshell pressure loaded      70 74 76 96 99—102 123 124 130—132 135 136 302
Beamshell rubberlike      85 89 91 93 110
Beamshell sandwich      137—139
Beamshell shallow      101 125 133—136
Beamshell thermoelastic      142
Beamshell transversely homogeneous      85 109 113
Beamshell truncated panel      53
Beamshell under point (concentrated) load      97 104 123 125 132 136
Belleville spring      228
Bending compatibility      296
Bending strain      see “Strain bending”
Bending strain vector      304 328 369—371 376
Berger's approximation      287 288
Bessel function      235 314
Bessel operator      see “Operator Bessel”
Biderman material      446
Bifurcation      124 125 133 136 271 272 302 303 306n 317 318 320 355 356
Bifurcation moment (in tube)      356
Bifurcation secondary      318
Bifurcation unstable      136 320 321
Bifurcation unsymmetric      124 135 136 235 243 244 271 301 309 318—321
Biologic(al) cell      264 272
Biologic(al) membrane      see “Membrane biologic”
Biologic(al) shell      1 226
Birod      4 21—50 343
Birod cross section      21 22 24 25 37
Birod definition of      4 24
Birod elastic      36
Birod mechanical theory of      36
Birod rubberlike      28
Birod thermoelastic      46—48
Blatz — Ko material      191 263 514
body      11
Body force      12 23 53 163
Boundary condition      5 16 31
Boundary condition additional (in higher-order shell theories)      489n
Boundary condition algebraic      470
Boundary condition aximembrane      261 262 265—268 280 297
Boundary condition clamped (support) axishell      216 217 232 243 245 287 314 315 318 320 322
Boundary condition clamped (support) beamshell      61 65 66 101 102 135 136
Boundary condition clamped (support) general membrane      418
Boundary condition classical axishell      172 266 282 283n 289 292—295
Boundary condition classical beamshell      63 64 67 73 115—118
Boundary condition classical birod      31 33 40
Boundary condition classical general membrane      410 411
Boundary condition contracted Kirchhoff( — Bassett)      470 501
Boundary condition displacement (position) axishell      192
Boundary condition displacement (position) beamshell      134
Boundary condition displacement (position) birod      42
Boundary condition displacement (position) curved tube      346
Boundary condition displacement (position) general membrane      445
Boundary condition displacement (position) general shell      499
Boundary condition essential birod      24
Boundary condition essential general membrane      392 406
Boundary condition free      see “Edge free”
Boundary condition general axishell      169 202 249 281 283 295 299 314n 318
Boundary condition general beamshell      61—63 100—102 119 126
Boundary condition general birod      37
Boundary condition general curved tube      349—352 356 361
Boundary condition general general membrane      406—411 427
Boundary condition general general shell      453 470—472
Boundary condition general helicoidal shell      363
Boundary condition general unishell      343
Boundary condition generalized force axishell      172 173
Boundary condition generalized force beamshell      68
Boundary condition generalized force birod      35
Boundary condition generalized force general shell      472
Boundary condition geometric, birod      38
Boundary condition integral      345
Boundary condition intrinsic      286
Boundary condition intrinsic axishell      286 287
Boundary condition intrinsic beamshell      65
Boundary condition intrinsic birod      38
Boundary condition kinematic      38 40 363 406
Boundary condition mechanical      6 31 61 170 184
Boundary condition mechanical axishell      179
Boundary condition mechanical beamshell      61—67
Boundary condition mechanical birod      21 31—33 35
Boundary condition mechanical-thermal      32n
Boundary condition membrane, modified      422
Boundary condition moment      119
Boundary condition natural axishell      167 173
Boundary condition natural beamshell      56 57 68
Boundary condition natural birod      24 33—36
Boundary condition natural general membrane      391 392 406 409 411
Boundary condition natural general shell      457 458
Boundary condition periodic      354—356
Boundary condition periodic beamshell      132
Boundary condition proper (for shell)      303
Boundary condition pseudo surface      434
Boundary condition simple support (hinged) axishell      207 210 216 217 222 226 229 279 301
Boundary condition simple support (hinged) beamshell      61 64—66
Boundary condition stress-free      230 411 (see free”)
Boundary condition typical axishell      172
Boundary condition typical beamshell      64—67
Boundary condition typical birod      37
Boundary condition typical soap film      442
Boundary constraint      see “Constraint boundary”
Boundary layer in axishell      207 209 210 217 218 222 230—232 235 247 260—262 300
Boundary layer in beamshell      102
Boundary layer in general membrane      426
Boundary layer in general shell      476 506
Boundary tension-wrinkle      438
Boundary value problem in axishell      168 196 204 208 216 219 236 239 246
Boundary value problem in axishell "meaningful,"      247 254
Boundary value problem in beamshell      67 97 115
Boundary value problem in birod      11 21 38 41
Boundary wrinkle      440
Boussinesq solution (for elastic half space)      316
Brazier effect      355 356 437
Buckling      21 122—137 229
Buckling axishell      249 301—322
Buckling beamshell      51 125 127—136
Buckling beamshell shallow      133—136
Buckling circular cylindrical shell      210 302 303
Buckling circular cylindrical shell with central support      315 316
Buckling column      122—125 301 302
Buckling conical shell      222—229 303
Buckling curved tube      355
Buckling curved tube end couple      355
Buckling equations for axishell      303—313
Buckling equations for beamshell      127—132
Buckling equations for curved tube      356
Buckling inelastic      122
Buckling membrane      506 (see
Buckling mode      125—127 317 325 326
Buckling mode local      320 356
Buckling mode shallow      133 309 311 312
Buckling plate      303 313—318
Buckling rings      132
Buckling secondary      125 217
Buckling shell of revolution      303
Buckling snap      see “Snap-buckling“
Buckling spherical cap      244 303 320
Buckling spherical shell      232 249 302 320—322
Buckling toroidal segment      303
Buckling unstable      317
Buckling unsymmetric      210 217 229
Buckling wave      354
Built-in edge      97 (see clamped”)
Cable      99
Calculus of variations      38 39 74 432
Calculus of variations direct method of      116 120
Cartesian basis (frame)      see “Basis Cartesian”
Cartesian coordinates      see “Coordinate Cartesian”
Catenary classic      97
Catenary stiff      97
Cauchy — Green deformation tensor      420 447 486 487
Cayley — Hamilton theorem      184 479
Chain (idealized)      82
Characteristic dimension      503 506
Characteristic equation      429 430
Characteristic length scale      91 311
Characteristic wavelength      133 189 487 503 506
Christoffel first kind      398
Christoffel first kind incremental      422
Christoffel second kind      398 404
Christoffel symbol      444
Circumferential boundary (of a tube)      357
Clamped edge (support)      see “Boundary condition clamped”
Classical assumption in mixed energy      200
1 2 3 4 5 6 7 8
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