Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

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

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


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
blank
Предметный указатель
Absorption of waves      276
Acceleration field      39
Acceleration gradients      54
Acceleration waves      (see also Waves)
Acoustic tensor      384
Acoustical axes      268 414
Acoustical tensor      268
Action principle of Toupin      392
Adiabatic      (see Isentropic)
Adiabatic stability      330
Adkins’ reciprocal theorem      207
Admissible process      44
Admissible thermodynamic process      365
Aeolotropic solid      82
Aeolotropic solid, stored energy      312
Aeolotropy      197
Aeolotropy, curvilinear      91
Airy’s stress function      204
Amplitude of wave      268 283
Angular oscillations of second-grade fluids      510
Anholonomic components      15
Anisotropic fluids of Coleman      88
Anisotropic fluids of Coleman of Ericksen      523 537
Anisotropic fluids of Green      521 523
Anisotropic fluids of Wang      86 88 151 314 316 473 475
Anisotropy      (see also Aeolotropy)
Apparent moduli and elasticities      23
Astatic load      127
Axis of equilibrium      136 258
B-E inequalities      158 171 175 183 281 293
Basic representation theorem of Cauchy      29
Basic stability theorem      253
Basis vectors      14
Bending      186 194 211
Bending of a block      186 188 211 34
Bernstein’s theorem on waves      332
Betti’s theorem      324 seq.
Block, bending and stretching      186 188 211 342
Body force, Volumkraft      40
Body, definition      37
Body, homogeneous      59 90
Boltzmann’s theory of visco-elasticity      116
Bordoni’s special theory of elasticity      348
Boundary-value problems of elasticity      125
Bressan’s theorem on waves      282
Brillouin’s coefficients of second-order elasticity      230
Brillouin’s principle      360
Buckling, interior      130
C-inequalities (classical)      153
Caloric equation of state      298 361
Capillarity theory of Korteweg      513 515
Caprioli’s work theorem      305
Cauchy-Green tensors      53
Cauchy’s basic representation theorem      29
Change of frame      41
Channel flow      443 seq.
Christoffel symbols      19 seq.
Circular pipes, flow in them      448 452
Circulation-preserving motion      75
Clausius-Duhem inequality      295 361 363
Climbing in steady Couette flow      452 455
Co-ordinate systems      19 seq.
Co-ordinates, material and spatial      37 39
Coleman and Noll’s inequality      319 324
Coleman and Noll’s stability theorem      330
Coleman and Noll’s theory of fading memory      101 117
Coleman’s thermodynamics of simple materials      363 381
Coleman’s work theorem      306
Compatibility condition      127
Compatibility conditions for principal waves      286 288
Compatibility theorem of Signorini      225
Complementary strain-energy      327
Compressible elastic bodies      171 179 33
Compressible elastic bodies, homogeneous strain      171 179
Conductors of heat, Wdrmeleiter      384
Cone-and-plate flow      461 464
Configuration, definition      37
Configuration, local, lokale      52
Connection, material      89
Constant stretch history      438 440
Constitutive equation of a Ityperelastic material      302
Constitutive equation of an elastic fluid      149
Constitutive equation of an elastic material      119
Constitutive equation of an incompressible isotropic elastic material      148
Constitutive equation, general mechanical      57 58
Constitutive equations of Coleman, von Coleman      364 seq.
Constitutive equations of differential-type materials      93 seq.
Constitutive equations of rate-type materials      95
Constitutive equations, dimensionally reduced form      65 seq. 120
Constitutive equations, Materialgleichungen      2 36 44
Constraints, internal      69 73
Constraints, thermal, thermische      329
Contact force      40
Continuity equation      39
Continuum and molecular theories compared      5
Contravariant components      14 seq.
Contravariant derivatives      16
Convected stress-rate      96 97
Cosserat material      397
Cosserats’ theory of polar elastic materials      3 89
Couette flow, Couette — Strdmung      449 seq.
Coulomb’s experiments on torsion      236
Couple density, Kraftepaardichte      394
Couple-stress tensor      396 525
Covariant components      14 seq.
Covariant derivatives      16
Crystal classes      83
Cyclic processes, general theorem      381
Cyclic processes, inequalities      3 69
Cylinder, extension by twisting      193 352
Cylinder, radial oscillations      214 217
Cylinder, various deformations      189 195
Cylinders, coaxial, flow between them      446 452
Cylindrical co-ordinates      19
Cylindrical sector, straightening and stretching      188 seq. 343
Cylindrical tube, extension, inflation and shear      353
Da Silva's theorem on torques      128
Definite conductor of heat      384
Deformation function, relative      49
Deformation gradient      49
Deformation, local      52
Deformations possible in all compressible elastic bodies      171 179 336
Deformations possible in all incompressible elastic bodies      337 342
Density of mass      38
Determinant of a tensor      15 23
Determinant, its gradient      25
Determinism, Determinismus      12 36 56
Differential equations of motion for superimposed infinitesimal displacement      247
Diffusion, framework of theories      537 541
Dilatation group, Dilatationsgruppe      86
Dilatation of hypo-elastic material      416
Dilatation, uniform      1 73
Dimensional invariance      64 65
Directors of an oriented medium      389 392
Dislocation      126
Dislocation density      92
Dislocations, continuous, in elastic bodies      125 126
Dislocations, continuum theory of      88 92
Dispersion of waves      276
Displacement^gradient      130
Dissipation principle      295
Duhem’s identity for acoustical tensors      335
Duhem’s theorem on wave speeds      335
Duhem’s theorem on waves      272
Dyadic product of two vectors      15
E-inequalities      171
E-T inequalities (extension-tension)      157
Elastic body      125
Elastic dielectric      385 to 388
Elastic fluid      148 480
Elastic fluid, stored energy      313
Elastic material      106 11 7
Elastic material as approximation      111
Elastic material, isotropy group      122
Elastic material, its definition      13 117 11
Elastic material, polar      389 401
Elastic material, reinforced      122
Elastic solid      149 170
Elastic stability      252 260
Elastic subfluid      151
Elastic theories of fluids      480 seq.
Elasticities of an elastic material      132
Elasticities, apparent      239 seq. 251
Elasticities, number of independent ones      309 seq.
Elasticity of n-th order, n-ter Ordnung      228
Elasticity, classical infinitesimal theory      117
Elasticity, reduced constitutive equations      113 120
Elastostatics of simple materials      123
Elastostatics, differential equation      127
Electricity and heat, analogy      388
Electromechanical theories      385 389
Ellipsoid of polarization      332
Elliptical tube, secondary flow      503—
Energy balance      294 seq.
Energy functional      298
Entropy function      301
Entropy inequality      295 357
Entropy relation      302 368
Entropy, Entropie      133 294
Equation of continuity      39
Equation of state      133
Equation of state, caloric      298 361
Equipresence principle      35 seq. 364
Equivalence of motions and processes      42 43—45
Equivalence theorem for higher-order waves      273
Equivalence theorem of Cosserat-Toupin      395
Ericksen’s analysis of deformations possible in all compressible elastic bodies      336 seq.
Ericksen’s anisotropic fluids      523 537
Ericksen’s work theorem      307
Euclid invariance      392 395—
Euclidean action      389 392
Existence and uniqueness theorems in elasticity      133 139—
Extension and torsion interrelated      264 seq.
Extension of a cylinder by twisting      193 352
Extension of hypo-elastic material      417 seq.
Extension, steady      4 72
Extra stress      71
Fading memory      36 101 106 11
Finite elasticity, differential equation of motion      125
First-order fluids      100
Flow between coaxial cylinders      446 452
Flow of anisotropic solids      520 523
Fluidity, Fluiditdt      13
Fluids of different grades      494
Fluids of different orders      491
Fluids of first order      100
Fluids of rate type      482 484
Fluids of second grade      504 513
Fluids of second order      100
Fluids, simple      427 513
Fluids, special theories      475 to 513
Forces and stresses      39 41
Frame, change of      41
Frame-indifference, material      12 36 44 296
Frame-indifferent quantity      3
Frechet differential      104
Free energy      301
Free energy, minimum, Minimum      370
Free shape      130
Fresnel quadric      268
Fresnel-Hadamard theorem on wave propagation      168
Fresnel’s ellipsoid      332
Fundamental theorem of Hadamard on waves      271 332
Fundamental theorem of Noll on simple fluids, von Noll uber einfache Flussigkeiten      81
Fundamental theorem on hyperelastic solids      311
Fundamental theorem on simple materials      66
GCN condition (generalized Coleman-Noll condition)      162 169 321
Grade of a fluid, Grad einer Flussigkeit      494 504
Grade of a material of differential type      111
Gradient of a tensor function      24 27
Gradient of a vector field      15
Gradients of invariants, representations      34
Gradients of principal invariants      25 seq.
Green and Rivlin’s multipolar elasticity      400 seq.
Green-St. Venant strain tensor      221
Green’s anisotropic fluids      521 523
Grioli-Toupin material      400
Gyration vector      386
Hadamard's fundamental theorem on waves      271 332
Hadamard’s inequality      253 257
Hagen-Poiseuille efflux formula      36
Hamilton-Cayley theorem      26
Heat absorption, W armeab sorption      294
Heat and electricity, analogy      388
Heat conduction, Warmeleitung      294 seq.
Heat flux, Wdrmeflu      3 294
Helical flow, schraubenfdrmige Strdmung      445 to 452
Hemitropic tensor function      24
Hemitropy, Hemitropie      358
Higher-order elasticities, experimental      230
Higher-order waves      27 seq. 283
History of a function      52
History of finite hyperelasticity      304
Holohedry      (see Isotropy)
Homentropic waves      272 335 38
Homogeneity of material lost by strain      251
Homogeneous body      59 90
Homogeneous flow of Ericksen’s anisotropic fluids      530 to 533
Homogeneous motions, isochoric      74
Homogeneous pure-stretch history      66
Homogeneous strain      171 183
Homogeneous strain history      62
Homothermal waves      272 335 38
Hydrostatic pressure      3
Hydrostatic tension states in elastic materials      170
Hyper elastic materials of second grade      397 to 400
Hyper elastic, special properties of solutions      342 to 344
Hyperelastic material      117 294
Hyperelastic material, definition, Definition      302
Hyperelastic solids, fundamental theorem      311
Hyperelastic stability      328 332
Hyperelastic subfluids      314 316
Hyperelasticity, definition      13
Hyperstress tensor      395 398
Hypo-elastic material, definition      401 seq.
Hypo-elastic response functions      404
Hypo-elastic waves      413 415
Hypo-elastic yield      420 426
Hypo-elasticity      13 117 401
Hypo-elasticity, relation to elasticity      406 411
Ideal material, ideale Substanz      2 44
IFS condition (invertibility of force-stretch)      56
Incompressibility, Inkompressibilitat      71
Incompressible      (see also Isochoric)
Incompressible elastic bodies, all possible deformations      337 342
Incompressible elastic material      121
Incompressible elastic material, homogeneous strain      179 183
Incompressible isotropic elastic material      147 seq.
Incompressible isotropic material      241 to 246
Incompressible material, wave propagation      291 294
Inequalities for cyclical processes      3 69
Inequalities for elastic materials      153 171
Inequality of Coleman and Noll      319 324
Inextensibility      72
Infinitesimal plane waves      273 278
Infinitesimal rotation tensor      11
Infinitesimal stability      252 260
Infinitesimal strain superimposed upon a given strain      250 325
Infinitesimal strain tensor      115
Infinitesimal theory of elasticity      117
1 2 3
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2019
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте