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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
Strain alternative      77—80 192—196
Strain bending axishell      159 177—179 187 192 193 294 296
Strain bending axishell Budiansky's      195
Strain bending axishell hoop      176 194 200 285 289 305
Strain bending axishell membrane      417
Strain bending axishell meridional      79 176 193 289
Strain bending axishell norm      187
Strain bending axishell normal      159 176 178 184 201
Strain bending axishell Reissner's      178
Strain bending axishell Simmonds'      194
Strain bending axishell tensor      184
Strain bending axishell twisting      289
Strain bending axishell-rotation relation      282
Strain bending beamshell      51 77—82 90 103 105 106 108 116 133 138 146 147 193 201 285 352 388
Strain bending curved tube      346 361
Strain bending general shell      473 479 487 499 502 504
Strain bending general shell Budiansky's      481 497
Strain bending general shell conjugate      453
Strain bending general shell normal      475 478
Strain bending general shell tensor      464—466 468 477 479 482 494 502
Strain bending gross      351
Strain bending helicoidal shell      380 381 384
Strain bending helicoidal shell conjugate      368
Strain bending helicoidal shell normal      379 382
Strain bending helicoidal shell vector      369—371 376
Strain coefficients      421
Strain compatibility      see “Compatibility”
Strain distribution model      138
Strain effect      96n 139 146 313 348 349 351 353 354
Strain energy      232 241 290 359 414 415 424 474
Strain energy increment      128 304
Strain energy relaxed      276 280
Strain engineering      30 264
Strain extensional axishell      159 178 179 192 201 208
Strain extensional axishell hoop (circumferential)      175 230 285 289 297 304 307
Strain extensional axishell meridional      175 289
Strain extensional axishell tensor      184
Strain extensional beamshell      51 76—82 89 90 96 106 116 132 133 138 147
Strain extensional birod      28 30 36 37 41 42 45
Strain extensional curved tube (hoop)      346
Strain extensional general membrane: base state      426 430
Strain extensional general membrane: pseudo      434
Strain extensional general membrane: tensor      414 439
Strain extensional general shell      473 479 499 502
Strain extensional general shell components      501
Strain extensional general shell conjugate      453
Strain extensional general shell Eulerian      465
Strain extensional general shell in-plane      487 489 491
Strain extensional general shell tensor      464 466 477 479 494 501 502
Strain extensional helicoidal shell      380
Strain extensional helicoidal shell conjugate      368
Strain extensional helicoidal shell norm      426
Strain extensional helicoidal shell vector      364 368 372 373 381
Strain gradient      143 145 325 327
Strain incremental      304 425
Strain invariant      89 188 263 264 288 417 420 447 486 487
Strain Lagrangian      30 78 133
Strain Lagrangian hoop      193 264
Strain Lagrangian invariant (general membrane)      417
Strain Lagrangian meridional      192 264
Strain Lagrangian tensor: components      465 502
Strain Lagrangian tensor: general membrane      401—403 414 424 444
Strain Lagrangian tensor: general shell      465 479
Strain Lagrangian tensor: three-dimensional      190
Strain large aximembrane      205 261—264 268—275
Strain large axishell      182 183 199 230 251
Strain large beamshell      102 105 138 139
Strain large birod      38
Strain large general membrane      389 416 419—421 440
Strain large general shell      485 486
Strain linearized      80
Strain moderate      417
Strain one-dimensional (unishell)      343—388
Strain plane      85 146 279 405
Strain principal      416 417 434
Strain rate      159 179 194 411
Strain shearing in axishell      159 175 184 187 189 190 192 197 204 224 244 253 259 280 289 294 296 300 316
Strain shearing in beamshell      51 76 77 82 83 85 88—92 96n 105 106 111 112 116 117 138n 139 146 147
Strain shearing in curved tube      354 361
Strain shearing in general shell      475 478 486 487 489 490 492 500
Strain shearing in helicoidal shell      372 377 379
Strain shearing in plate      316
Strain shearing in unishell      343
Strain shearing in-surface      346
Strain small      1
Strain small axishell      180 184 191 194 199 200 205 207 216 232 235 245 247 251—253 262 267—270 275 300 309 310 313
Strain small beamshell      82 85 87 88 90 93 102 113 137 138
Strain small birod      38
Strain small curved tube      353 356
Strain small general membrane      389 405 415—417 423 425 427 435 439
Strain small general shell      503
Strain small helicoidal shell      372 83
Strain tensor      186
Strain three-dimensional      82 83 85 91 138 139 146 181 182 190 489 492n
Strain three-dimensional in-plane      487
Strain three-dimensional normal      77n 146 487
Strain vector      304 328 369—371 376
Strain vector space      417
Strain wrinkle      276
Strain-displacement (kinematic) relation      1 42 44 117 226 249 281 287 293—295 306 361 362 502
Strain-displacement (kinematic) relation linear      1
Strain-energy density      see also “Biderman; Blatz — Ko; Harmonic; Neo — Hookean; Ogden; Rivlin — Saunders; Varga materials”
Strain-energy density aximembrane      199
Strain-energy density axishell      196 417
Strain-energy density axishell assumptions (restrictions)      182
Strain-energy density axishell general      159 177 179—191
Strain-energy density axishell isothermal      327
Strain-energy density axishell isotropic      180 181 184 185
Strain-energy density axishell modified      197 198
Strain-energy density axishell quadratic      180—182 199 275 305 310
Strain-energy density axishell simplified      186
Strain-energy density beamshell      51 52 78 96 104 106 128
Strain-energy density beamshell general      81—94
Strain-energy density beamshell isothermal      149
Strain-energy density beamshell quadratic      82—85 91 128
Strain-energy density beamshell restrictions      51
Strain-energy density beamshell rubberlike      199
Strain-energy density beamshell uncoupled      131 134n
Strain-energy density biologic structure      264
Strain-energy density birod      36 37 44
Strain-energy density birod quadratic      37 43
Strain-energy density birod rubberlike      28
Strain-energy density curved tube      359
Strain-energy density error (estimate) axishell      165 181 182 186—188 190 191 201
Strain-energy density error (estimate) beamshell      55 83 85 87—90 93
Strain-energy density error (estimate) general shell      485 486 492 493
Strain-energy density exponential      264 265 269 421
Strain-energy density general membrane      414 415 419—421 428 438 447
Strain-energy density general membrane harmonic      440
Strain-energy density general membrane isothermal      414
Strain-energy density general membrane quadratic      415—418 425
Strain-energy density general membrane relaxed      415 416 434
Strain-energy density general shell      474 476 477 484 492
Strain-energy density general shell approximate      486 490—492
Strain-energy density general shell of Kirchhoff      477
Strain-energy density general shell of Love      485
Strain-energy density general shell quadratic      3n 475 503 504
Strain-energy density general shell special      502
Strain-energy density general shell typical      485
Strain-energy density helicoidal shell      376 377
Strain-energy density nonlinear, incompressible, unshearable material      104
Strain-energy density plate      181n 187—191 197 485 486 490—493
Strain-energy density relaxed      276 280
Strain-energy density rubberlike      85 89 91 93
Strain-energy density three-dimensional      3 83 84n 89—94 181 187—191 263 271 279 396 419—421 446 486 488 489
Strain-energy density twisted axishell      289
Strain-rotation      177 179
Strain-rotation compatibility      177 196 202 282 299
Strain-stress relation      417
Stress allowable      137
Stress alternative      77—80
Stress Cauchy      139
Stress concentration factor, spherical cap      249
Stress couple axishell      159 257 285
Stress couple axishell combination      160n
Stress couple axishell edge      290
Stress couple axishell hoop (circumferential)      165
Stress couple axishell hoop (circumferential) modified      180
Stress couple axishell incremental      305 307
Stress couple axishell meridional      165
Stress couple axishell meridional modified      194 289
Stress couple axishell neglect of (membrane)      259—261
Stress couple axishell normal component      159 176
Stress couple curved tube      344
Stress couple curved tube axisymmetric      357
Stress couple curved tube hoop (circumferential)      345
Stress couple curved tube meridional      345
Stress couple curved tube neglect of      352
Stress couple general shell      4 457 499n
Stress couple general shell Cauchy      480
Stress couple general shell contravariant vector      476 494
Stress couple general shell modified      79n 493 499
Stress couple general shell neglect of (buckling)      125
Stress couple general shell normal component      478
Stress couple general shell representation      461
Stress couple general shell tensor      459 460 494 502
Stress couple helicoidal shell      366 381
Stress couple helicoidal shell normal component      379
Stress couple plate      144 326
Stress function      204 220 234 247 266 267 287 296 298 299 307—310 319 368 370 375 498—500 505
Stress function-rotation buckling equations      307 309 310
Stress incremental      307
Stress invariant      418
Stress isotropic state      441
Stress plane      85 91 138n 146 190 263 416 417 420 440 488
Stress resultant axishell      159 211 252 257 264 282 283 285
Stress resultant axishell edge      290
Stress resultant axishell hoop (circumferential)      164 217 252
Stress resultant axishell hoop (circumferential) modified      193
Stress resultant axishell horizontal      217
Stress resultant axishell incremental      305
Stress resultant axishell meridional      164
Stress resultant axishell meridional modified      195
Stress resultant axishell negative      208
Stress resultant axishell principal      276 277
Stress resultant axishell radial      313
Stress resultant axishell tensor      292
Stress resultant axishell toroidal membrane      259
Stress resultant axishell variation      299
Stress resultant beamshell      85 109 116 137
Stress resultant beamshell alternative      77—80
Stress resultant beamshell conjugate      106
Stress resultant beamshell incremental      128
Stress resultant beamshell modified      85
Stress resultant birod      23
Stress resultant curved tube      362
Stress resultant curved tube axisymmetric      357
Stress resultant curved tube edge (boundary)      345
Stress resultant curved tube neglect of      354
Stress resultant general membrane      504
Stress resultant general membrane physical      408
Stress resultant general membrane principal      415 426n 448
Stress resultant general membrane tensile      433
Stress resultant general membrane tensor: base state      426
Stress resultant general membrane tensor: Cauchy      397 441
Stress resultant general membrane tensor: components      443 497
Stress resultant general membrane tensor: nominal      393—396 417 459
Stress resultant general membrane vector: Cauchy      397 441
Stress resultant general membrane vector: nominal      390n 397 411
Stress resultant general shell      4 391 456 459 499n
Stress resultant general shell contravariant vector      476 494
Stress resultant general shell contravariant vector Cauchy      480
Stress resultant general shell edge      457
Stress resultant general shell Kirchhoff, edge      484
Stress resultant general shell modified      79n 493 499
Stress resultant general shell tensor      459 460 494 502
Stress resultant general shell tensor representation      461
Stress resultant helicoidal shell      377
Stress resultant helicoidal shell in-surface      372
Stress resultant transverse shear axishell      159 252 253 259 316
Stress resultant transverse shear axishell modified      195 280
Stress resultant transverse shear axishell neglect of      201 203
Stress resultant transverse shear axishell shallow shell      226
Stress resultant transverse shear beamshell      77 125
Stress resultant transverse shear general shell      460
Stress resultant transverse shear helicoidal shell      372 379 382
Stress resultant twisted axishell modified: axial      289
Stress resultant twisted axishell modified: hoop (circumferential)      289
Stress resultant twisted axishell modified: in-surface      289
Stress resultant twisted axishell modified: radial      289
Stress tensor      421
Stress three-dimensional      91 139 264 390n
Stress three-dimensional normal      91
Stress three-dimensional transverse shear      91 138 490
Stress transverse      438
Stress vector      13 14 53 162 293 390n
Stress yield (engineering, modified)      137
Stress-energy density (complementary)      43 121 196 264 418n
Stress-energy density (complementary) modified      44 266
Stress-energy density (complementary) quadratic      43
Stress-free state      184 427
Stress-strain relation      1 6
Stress-strain relation axishell      159 179 224 249 265 287 327
Stress-strain relation beamshell      82 87 134
Stress-strain relation beamshell linear      109 137—139
Stress-strain relation birod      37 42
Stress-strain relation birod linear      1
Stress-strain relation general membrane      417 421 425 426
Stress-strain relation general membrane linear      417 418n 428
Stress-strain relation three-dimensional      139
Stretch aximembrane      268
Stretch aximembrane axial      269
Stretch aximembrane hoop (circumferential)      263 276
Stretch aximembrane large      275
Stretch aximembrane meridional      263 268 276 435
Stretch aximembrane pseudo-surface      276
Stretch aximembrane radial      269 271
Stretch axishell hoop (circumferential)      193
Stretch axishell meridional      192
Stretch axishell three-dimensional      263
Stretch beamshell      117
Stretch beamshell axial      78
Stretch beamshell thickness direction      139
Stretch birod      44
Stretch curved tube      361
Stretch curved tube-kinematic relation      362
Stretch general membrane      421
Stretch general membrane principal      419 433
Stretch general membrane radial      440
Stretch general shell, tensor      464
Stretch principal      514
Stretch string      406
Stretch tensor      464
Stretching-bending spectrum      208
String      82 389 406—410 445
String inextensional      409
Structural stability      see “Stability”
Support, proper      see “Boundary condition”
Surface deformation gradient      397
Taylor expansion (series, theorem)      88 89 91 126 128 148 187 188 304 485 490 491
Temperature      4 140
Temperature absolute      15 46 323
Temperature ambient (equilibrium)      147 148
Temperature gradient, transverse      141 148 323 326
Temperature in axishell      263
Temperature in beamshell      11 140 141
Temperature in birod      45 48
Temperature increment      147
Temperature local      148
Temperature reciprocal      141 323
1 2 3 4 5 6 7 8
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