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Eringen A.C. (ed.) — Continuum physics (vol. 4) Polar and Nonlocal Field Theories
Eringen A.C. (ed.) — Continuum physics (vol. 4) Polar and Nonlocal Field Theories



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Название: Continuum physics (vol. 4) Polar and Nonlocal Field Theories

Автор: Eringen A.C. (ed.)

Аннотация:

The fourth volume of Continuum Physics is devoted to the exposition of field theories for bodies which possess inner structure that can interact with mechanical and electromagnetic fields. The purpose here is a thorough and precise presentation of exact continuum theories on materially nonuniform or nonsimple bodies (bodies composed of single, dipolar, and deformable elements) that can respond to short- and long-range interparticle loads and fields. Most of these theories have acquired their present definitive forms during the last decade or so, even though basic ideas and certain limited or approximate developments on some of these theories can be traced back to the turn of the entury. With the explosive developments that have taken place during the last decade, continuum physics is now very rich, and the impossible dream of bridging the gap between classical phenomenological physics and atomic and molecular physics is in sight.


Язык: en

Рубрика: Физика/Классическая физика/Упругие среды/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1976

Количество страниц: 274

Добавлена в каталог: 17.06.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Nonlocal micropolar theory      249
Nonlocal micropolar thermoelastic solids      221
Nonlocal micropolar thermofluids      251 255
Nonlocal moduli      236 245 249 260
Nonlocal Onsager fluxes      181
Nonlocal polar elastic solids      207
Nonlocal polar field theories      205
Nonlocal reciprocity relations      179
Nonlocal recoverable body force      142
Nonlocal recoverable stress tensor      142
Nonlocal residuals      238 251 262
Nonlocal strain measures      239 241
Nonlocal surface effects      236
Nonlocal surface stress      262
Nonlocal temperature      142
Nonlocal thermodynamic fluxes, constitutive relations for      161
Nonlocal thermodynamic state      135
Nonlocal thermodynamics, hidden variables in      140
Nonlocal thermoelasticity      187 ff. 207
Nonlocal variational principles, invariance properties      124 ff.
Nonlocal viscoelasticity      188
Nonlocal volume      212
Nonlocality, restricted      136
Nonlocality, unrestricted      136
Norm      216
Objective      49 216
Objective function      52
Objectivity      18 30 60
Objectivity, axiom of      251
Onsager fluxes as potential operators      181
Onsager fluxes, nonlocal      181
Onsager reciprocity relations, linear      155
Onsager theory, linear      155 ff.
Operator, local Euler — Lagrange      116
Operator, nonlocal Euler — Lagrange      117
Piezocaloric effect      24 52 228
Plastic solid, perfect      190
Polar field theories      1
Polar fluids      4
Polar quasi-elastic materials      22
Potential operators as Onsager fluxes      181
Preconstitutive relations      176
Protoelasticity      125 ff.
Protopotential      127
Rate measurers      250
Rate tensors      10 38
Reciprocity relations, linear Onsager      155
Reciprocity relations, nonlocal      179
Recoverable nonlocal body force      142
Recoverable stress      142
Recoverable work      138
Reference configuration      5 20 34 38 47 49
Reference state      16
Relative Cosserat deformation tensor      10
Relative micromotion      7 35
Relative strain measures      4
Relative strains      38
Relative wryness tensor      10
Residuals      212 213 224 see "Entropy "Nonlocal
Response functional      21 47 50
Restricted nonlocality      136
Rigid directors      3
Rigid motions      70
Rotational invariances      224
Second law of thermodynamics      29
Self-gravitating body      247
set functions      85
Simple fluid      21 49
Simple materials      4—5 47
Simple solid      49
Spatial frame      70
Spatial microinertia      45
Spin density      13 211
Spin inertia      46 262
Strain measures      65 70
Strain measures, relative      4
Strains      35
Strains, relative      38
Stress tensor, dissipative      145
Stress tensor, equivalence class of      92
Stress tensor, exterior Piola — Kirchhoff      92
Stress tensor, external Cauchy      92
Stress tensor, recoverable nonlocal      142
Stress, recoverable      142
Strict adherence      32 62
Subbodies      2
Surface couple stress      262
Surface effects      212 236
Surface energy      43
Surface force      236
Surface physics      236 249
Surface stress densities      246
Surface stresses      207
Surface tension      95 ff. 207 264
Surface tension density      260
Surface tractions      246
Surface viscosities      207
Suspensions      3 32
Tension density      265
Tensors, Cosserat deformation      8
Tensors, deformation      36
Tensors, dissipative stress      30
Tensors, Green deformation      8 35
Tensors, gyration      6 35
Tensors, inertia      67
Tensors, isotropic      57
Tensors, material inertia      12
Tensors, microdeformation      36
Tensors, micromotion      7
Tensors, micropressure      60
Tensors, moment      66
Tensors, rate      10 38
Tensors, relative Cosserat deformation      10
Tensors, relative wryness      10
Tensors, two-point      35
Tensors, unimodular      49
Tensors, wryness      8 36
Terminal data, inhomogeneous      115
Test function      40
Thermodynamic fluxes      155
Thermodynamic fluxes, nonlocal constitutive relations for      161
Thermodynamic forces      155
Thermodynamic pressure      30 60 259
Thermodynamic state, nonlocal      135
Thermodynamics, global      137 ff.
Time reversal and Onsager fluxes      181 ff.
Turbulence      3 32
Two-point tensor      35
Uncompensated heat of Clausius      171 ff.
Undistorted state      20 49
Unimodular tensor      49
Uniqueness theorem      28 62
Unrestricted nonlocality      136
Variational inference      191 ff.
Variational principle for carrier fields      109
Variational principle, homogeneous      107
Variational principle, inhomogeneous      107
Variational principle, inhomogeneous for carrier fields      114
Vectors      see "Displacement vector" "Gyration "Microdeformation "Microrotation
Viscous fluid of grade N      50
Volume heat source      68
Wave propagations      248
Wavelength      205
Wryness tensor      8 36 215
Wryness tensor, relative      10
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