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Truesdell C., Noll W. — The Non-Linear Field Theories Of Mechanics
Truesdell C., Noll W. — The Non-Linear Field Theories Of Mechanics



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Название: The Non-Linear Field Theories Of Mechanics

Авторы: Truesdell C., Noll W.

Аннотация:

Non-Linear Field Theories of Mechanics has become a classic treatise in the field of continuum mechanics. Originally published nearly forty years ago, it probably has influenced practically all subsequent monographs on the subject. Its main parts are:- The General Theory of Material Behavior - Elasticity - Fluidity This third edition includes the corrections made by the late C. Truesdell in his personal copy. It is annotated by S. Antman who describes the monograph?s genesis and the impact it has made on the modern development of mechanics. Originally published as Volume III/3 of the famous Encyclopedia of Physics in 1965, this book describes and summarizes 'everything that was both known and worth knowing in the field at the time.' It also greatly contributed to the unification and standardization of the concepts, terms and notations in the field.


Язык: en

Рубрика: Механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Third Edition

Год издания: 2004

Количество страниц: 602

Добавлена в каталог: 24.03.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Infinitesimal visco-elasticity      116
Inflation of a tube      189 195 211 343 353
Internal constraints      69 73
Internal energy      294
Invariants of a tensor      22 seq.
Invariants, lists      30 seq.
Invariants, multilinear      30
Invariants, polynomial      28 30
Invariants, representation      27 32
Irreversible thermodynamics      373
Irrotational homogeneous history      67
Irrotational motion      67 75
Isentropic elasticity      33
Isochoric      (see also Incompressible)
Isochoric homogeneous motions      74
Isochoric motion      39 55
Isothermal cyclic processes      372
Isothermal elasticity      133
Isothermal stability      330
Isotropic elastic material      139
Isotropic elastic material, response coefficients      140 seq.
Isotropic hyperelastic material      313 seq. 31 7
Isotropic incompressible elastic material      14 seq.
Isotropic material of differential type      94
Isotropic material, wave propagation      278 291
Isotropic materials      78 seq.
Isotropic tensor function      22 24 34
Isotropic tensor function, representation      32 34
Isotropy group of an elastic material      122
Isotropy group of hyperelastic subfluids      314 to 316
Isotropy group, Isotropiegruppe      76 79
Isotropy groups of hyperelastic materials      310 313
Isotropy, definition, Isotropie      358
John’s special theory of elasticity      349
Jump continuation      374
Kelvin effects      176 236 345
Kinetic stability      259
Kirchhoff’s special theory of elasticity      348
Korpern      337 342
Korteweg’s theory of capillarity      513 515
Lame coefficients of elasticity      116 11 7
Lame coefficients of viscosity      113
Lineal flow of second-grade fluids      510 513
Lineal flow, geradlinige Strdmung      429 432 441 445
Lineal oscillation flow      444 seq.
Linear tensor function      22 33
Linearly viscous material      114
Liquid crystals (subfluids, anisotropic fluids)      86 88 151 314 316 473 475 523 537
Local action, principle, lokale Wirkung      12 36 56
Local configuration      52
Local deformation      52
Localization of a motion      51 seq.
Locally viscometric motion      432
Longitudinal wave      268 280
Macromedium      391
Macroquantities in polar elastic materials      3
Magnitude of a tensor      15
mass density      38
Mass distribution      38
Material co-ordinates and description      37 39
Material connection      89
Material frame-indifference (principle)      36 44 296
Material functionals      431
Material isomorphism      59
Material of grade n      63
Material time derivative      39
Material uniformity of a body      59 90
Materially uniform elastic body      126
Materials of differential type      93 95 111
Materials of integral type      98 101
Materials of mixed integral-differential type      101
Materials of rate type      95 98
Maximum entropy, theorem on      380
Maxwellian fluid, Truesdell’s theory      515 520
Memory      (see Fading memory)
Micromedium      391
Microquantities in polar elastic materials      3
Minimum free energy, theorem on      370
Minimum internal energy, theorem on      380
Mixture of interdiffusing materials      537 541
Moduli, apparent, Moduln      239 seq.
Molecular and continuum theories compared      5
Moment condition      258
Moment of momentum      40
Moments of a tensor      23
Moments of a tensor, their gradients      27
Momentum, Impuls      40
Monotone transformation, monotone Transformation      161
Mooney-Rivlin theory of rubber      349 to 354
Motion of a body, general description      38
Multilinear invariants      30
Multilinear tensor function      22 34
Multipolar elasticity      40 seq.
Murnaghan's coefficients of second-order elasticity      230
Natural state      306 311 322
Natural units of elasticity, time-lapse etc.      64
Navier-Stokes equations      476
Navier-Stokes theory of viscometry      113 seq. 467
Neo-Hookean theory of elasticity      350
Noll’s theorem on flows with constant stretch history      438
Noll’s theorem on simple fluids      81
Noll’s theorem on simple materials      66
Non-conductor of heat      384
Normal end effects      452 458
Normal stress in cone-and-plate flow      463
Normal stresses in simple shear      175 to 178
Normal-stress difference in Couette flow      449
Normal-stress function      436
Normal-stress function, modified      446
Normal-stress in a second-order fluid      493
Normal-stress in flow between coaxial cylinders      448
Normal-stress in flow between sliding cylinders      451
Notations, Bezeichnungen      13 16
O-F inequalities (ordered forces)      157
Objective quantity      (see Frame-indifferent quantity)
Objectivity      (see Frame-indifference)
One-dimensional problems      10
Order of a fluid, einer Fliissigkeit      491
Order of a material of integral type      99
Order of a simple material      109
Order of elasticity      228
Oriented media      389
Orthogonal tensor      15
Oscillations of second-grade fluids      50 seq.
P-C inequality (pressure-compression)      155
Partial gradient of a function of tensors      25
Particles, definition      3 7
Perfect elasticity      304
Perfect fluid      149
Perfect materials      296 298
Physical components      15
Piezo-caloric effect      356
Piola-Kirchhoff stress tensors      120 124 144 169 300 320
Pipes, flow inside      448 452
Plane infinitesimal waves      273 278
Plane problems in elasticity      204 208
Plane problems in second-order elasticity      246
Plasticity, Plastizitdt      8 420
Poiseuille flow      451 seq.
Poiseuille flow of Ericksen's anisotropic fluids      536
Polar decomposition theorem      52
Polar elastic materials      389 401
Polarization, electrical      385
Polynomial invariants      28 30
Potential, thermomechanical      299
Power series of tensors      21
Poynting effect      177 235 345
Poynting's experiments on torsion      23 7
Poynting's problem      193 352
Pressure, Druck      149
Pressure, effect on wave speed      284 seq.
Principal forces      144 317
Principal invariants of a tensor      23 25
Principal stresses      143
Principal stretchings      472
Principal waves      279
Principal waves, compatibility conditions      286 288
Principal waves, fundamental theorems      280 seq.
Principle of determinism for constrained materials      70
Principle of determinism for stress, fur Spannungen      56
Principle of equipresence      359 seq. 364
Principle of fading memory      36 101 103
Principle of loca action, der lokalen Wirkung      12 36 56
Principle of material frame-indifference      44 296
Principle of material, its history      45 47
Principles of mechanical behavior      36
Process, dynamical      41
Product of tensors      15
Production of entropy      295
Propagation condition      268
Propagation speed      268
Propagation speed, second-order effects      288 291
Quadric of polarization      268
Quasi-equilibrated motions of incompressible bodies      208 214
Radial oscillations of cylinders and spheres      214 219 354
Reciprocal theorem of Adkins      207
Reciprocal theorem of Betti      324 seq.
Recollection of a history      102
Reduced constitutive equations      66 69 113 120
Reference configuration      48
Reiner, basic contributions of      9
Reiner-Rivlin fluids      477 480 486
Reissner's variational principle      328
Relative Cauchy-Green tensor      53
Relative deformation function      49
Relative deformation gradient      49
Relative rotation tensor      53
Relative stretch tensor      53
Representation of a vector-valued function      35
Representation of the gradient of an invariant      34
Representation theorem for isotropic tensor functions      32
Representation theorem for linear isotropic tensor functions      33
Representation theorem for tensor invariants      28
Representation theorem, basic, of Cauchy      29
Response function of an elastic material      119
Response function, Auswirkungsfunktion      296
Response function, hypo-elastic      404
Response functional      36 58 61
Retardation formulae of Coleman and Noll      110 111
Retardation of a history      109
Rheogoniometer of Weissenberg      464
Rheology, Rheologie      8
Rigidity, Starrheit      72
Rivlin and Topakoglu's interpretation of Signorini’s expansion      227 229
Rivlin's formula for the torsional modulus under extension      192 seq.
Rivlin, basic contributions of      9
Rivlin-Ericksen fluids      481 seq.
Rivlin-Ericksen tensors      54
Rivlin-Ericksen tensors, generalization      516
Rivlin’s solutions in elasticity      171 197
Rotating cylinders, flow between them      44 seq.
Rotation tensor, Drehungstensor      52
Rubber, experimental results      171 181
Rubber, theory of Mooney and Rivlin      349 354
S-E condition (strong ellipticity)      129 132 147
Second-grade fluids      504 513
Second-grade hyperelastic materials      397 to 400
Second-order effects in elasticity      229 246
Second-order effects in isotropic hyperelastic materials      344 346
Second-order elasticities, determination by wave speeds      290 seq.
Second-order fluids      100
Second-order wave speed      288 291
Secondary flow in tubes, in Rohren      497 504
Secondary flow, sekunddre Strdmung      463 seq.
Shear modulus, generalized      174 182
Shear-stress function      436
Shearing function      436
Shearing of hypo-elastic material      418 426
Shearing, rectilinear      76
Shearing, Schergeschwindigkeit      436
Shifter      49
Shock wave      3
Shock wave, welle      267
Signorini's expansion      219 227
Signorini’s special theory of elasticity      348
Simple extension      173 180
Simple fluids      13 78 79 81 427 513
Simple material      36 60 63 78
Simple material of order      109
Simple material, thermal equilibrium      298 301
Simple materials, basic properties      66 69
Simple shear of elastic bodies      174
Simple shearing      442 seq.
Simple shearing of second-grade fluids      506
Simple solids      78 81
Simultaneous invariant of several tensors      22 24 25 31
Small elastic deformations superimposed on large ones      116 117
Solutions in finite elasticity, approximate      219 267 347
Space-time      41
Spatial co-ordinates and description      37 39
Spatial gradient      39
Spatial time derivative      39
Special theories of elasticity      347 354
Speed of wave propagation      268
Speed of wave propagation, second-order effects      288 291
Spencer-Rivlin theorem on tensor invariants      31
Spheres, radial oscillations      217 219
Spherical co-ordinates      20
Spherical shell, inflation and eversion      195 344
Spin tensor      54
St. Venant’s special theory of elasticity      348
Stability      153
Stability of hyperelastic bodies      328 332
Stability theorem of Hadamard      253
Stability, elastic      252 260
Stability, kinetic      259
State      329
Static continuation      106 369 371
Static stability      328
Statics of Ericksen’s anisotropic fluids      528 530
Stokes* principle of viscosity      475 seq.
Stokesian fluid, Truesdell’s theory      485 488
Stoppelli’s theorem      138
Stored energy      302 312
Stored-energy function      302 312 315
Stored-energy function, convex      322
Straightening of a cylindrical sector      188 seq. 343
Strain impulse, Verformungssto      107 108
Strain-energy function      302 307 316 397
Strain-energy function, no experimental test of existence      344
Stress principle      40
Stress relation      297 300 313 368
Stress relation, inversion      327
Stress relaxation      47 10 369
Stress tensor, convected      67
Stress tensor, non symmetrical      389
Stress vector      40
Stress, principal axes      142
Stress, Spannung      39 seq.
Stress-entropy relation      367 seq.
Stress-entropy tensor      365
Stress-relaxation function      115
Stress-relaxation function, Coleman’s theorem      378
Stress-strain relation      119
Stretch history, constant      438 440
Stretch tensors, right and left      53
Stretching tensor      54
Structural and continuum theories compared      5
Subfluids (liquid crystals)      86 88 151—
Subfluids, flow problems      473 to 475
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