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Auld B.A. — Acoustic Fields and Waves in Solids, Vol. 1
Auld B.A. — Acoustic Fields and Waves in Solids, Vol. 1



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Название: Acoustic Fields and Waves in Solids, Vol. 1

Автор: Auld B.A.

Аннотация:

Volume One begins with a systematic development of basic concepts (strain, stress, stiffness and compliance, viscous clamping) and coordinate transformations in both tensor and matrix notation. The basic elastic field equations are then written in a form analogous to Maxwell's equations. This analogy is then pursued when analyzing wave propagation in both isotropic and anisotropic solids. Piezoelectricity and bulk wave transducers are treated in the final chapter. Appendixes list slowness diagrams and material properties for various crystalline solids.


Язык: en

Рубрика: Физика/Колебания и волны/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1973

Количество страниц: 423

Добавлена в каталог: 22.07.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abbreviated subscripts, definition      27 28 49 52 64 66 87 106 164 165 272 274 292 293 296 299 305 351 355
Abbreviated subscripts, definition, transformations in      73 81 88 195 272 273 275
Acoustic bandshape function      338 339
Acoustic boundary conditions      125 127 133 320
Acoustic field equations      101 103 106 107 143 164 281
Acoustic impedance, anisotropic media      246 250 262 263
Acoustic impedance, anisotropic media, arbitrary direction      250 251 262
Acoustic impedance, anisotropic media, definition      131 247 249
Acoustic impedance, anisotropic media, matrix      247 250
Acoustic impedance, anisotropic media, numerical values      131
Acoustic impedance, anisotropic media, parallel to k      247 248
Acoustic impedance, anisotropic media, particle velocity calculations      249
Acoustic impedance, anisotropic media, piezoelectric media      318 320 323
Acoustic impedance, anisotropic media, quasilongitudinal waves      247 250
Acoustic impedance, anisotropic media, quasishear waves      247 250
Acoustic impedance, anisotropic media, units      131
Acoustic impedance, anisotropic media, wave scattering calculations      186 189 263
Acoustic plane waves      16 18 23 25 47 49 68 71 82 86 89 93 112 115 120 124 129 130 146 147 164 165 168 183 212 257 286 287 289 290 298
Acoustic polarization      3 17 18 69 73 84 86
Acoustic Poynting vector, complex      155
Acoustic Poynting vector, complex, real      145
Acoustic Poynting vector, complex, units      145
Acoustic Poynting’s Theorem, complex      154 159
Acoustic Poynting’s Theorem, complex, real      142 147
Acoustic quality factor (Q)      92 170 171
Acoustic reflection, normal incidence      129 130 186 187 320
Acoustic wave equation (continued), symbolic notation      164
Acoustic wave equation, abbreviated, subscripts      164
Admittance matrix, transducer      329
Akhieser damping mechanism      94
Anisotropy, elastic      84 191 210
Anisotropy, elastic, factor      215 217 219
Anti-reflection layers      188
Attenuation, acoustic, $(frequency)^{2}$ dependence      91 92 94
Attenuation, acoustic, Akhieser mechanism      94
Attenuation, acoustic, average power dissipation density      157
Attenuation, acoustic, average power flow density      157
Attenuation, acoustic, cube edge direction      89 93
Attenuation, acoustic, cube face diagonal direction      93
Attenuation, acoustic, definition      86 92
Attenuation, acoustic, factor      91
Attenuation, acoustic, isotropic medium      170 171
Attenuation, acoustic, numerical values      94 97
Attenuation, acoustic, per microsecond      95
Attenuation, acoustic, poly crystalline scattering      94
Attenuation, acoustic, relation to Q      92
Attenuation, acoustic, thermoelastic mechanism      94
Attenuation, acoustic, units      93 94
Attenuation, acoustic, viscous      89 93 156 157 170 171
Axes, coordinate      60 79 212 297 360 372 379
Axes, coordinate, crystal      60 78 79 82 84 194 195 200 212 297 329 330 360 372 379
Backing plate      325
Birefringence (double refraction)      126
Birefringent medium, definition      85 112
Birefringent medium, definition, polarization changes in      85 86 112 251
Birefringent waves      115
Body force, definition      33
Body force, definition, translational equation of motion      43 45
Body force, definition, units      34
Body torque, definition      34
Body torque, definition, polar media      34 47
Body torque, definition, rotational equation of motion      46
Body torque, definition, symmetry of the stress matrix      47
Body torque, definition, units      34
Bond transformation matrices, inversion of      76
Bond transformation matrices, inversion, strain      75 195 207 208 272 273 275
Bond transformation matrices, inversion, stress      74 77 80 81 195 207 208 272 273 275
Boundary conditions, acoustic      125 127 133 320
Boundary conditions, acoustic, electric field      124 320
Boundary conditions, acoustic, electrical displacement      132
Boundary conditions, acoustic, electromagnetic      124 127
Boundary conditions, acoustic, frictionless      133
Boundary conditions, acoustic, magnetic field      124
Boundary conditions, acoustic, magnetic flux density      132
Boundary conditions, acoustic, mechanically free      133
Boundary conditions, acoustic, particle velocity      125 127 133
Boundary conditions, acoustic, rigid      133
Boundary conditions, acoustic, rigidly bonded      125 127
Boundary conditions, acoustic, stress      125 127 133
Boundary conditions, acoustic, traction force      125 127 133
bulk modulus      185
Capacitance, clamped      322 333
Capacitance, clamped, geometrical      324 333
Characteristic impedance      130 131 175 176 247 249
Christoffel equation      211 212 383
Christoffel equation, anisotropic      211 212
Christoffel equation, anisotropic, cubic      211 212 383
Christoffel equation, anisotropic, definition      165
Christoffel equation, anisotropic, hexagonal      384
Christoffel equation, anisotropic, isotropic      168 169 383
Christoffel equation, anisotropic, orthorhombic      385
Christoffel equation, anisotropic, piezoelectric      291 300
Christoffel equation, anisotropic, stiffened      300 302 304
Christoffel equation, anisotropic, symbolic notation      186
Christoffel equation, anisotropic, tetragonal      384
Christoffel equation, anisotropic, triclinic      211
Christoffel equation, anisotropic, trigonal      384
Christoffel equation, compliance matrix      209
Christoffel equation, cube face diagonal      286 290
Christoffel equation, edge      282 286
Christoffel equation, energy velocity      230 233
Christoffel equation, group velocity      233 234
Christoffel equation, normal surface      236
Christoffel equation, ray surface      234 236
Christoffel equation, slowness curves      215 219 235 385 388
Christoffel equation, stiffness matrix      210
Christoffel matrix, anisotropic      212
Christoffel matrix, anisotropic, definition      165
Christoffel matrix, anisotropic, isotropic      168
Christoffel matrix, anisotropic, relation to the impedance matrix      250
Christoffel matrix, anisotropic, stiffened      302
Circuit bandshape function      338
Clamped capacitance      322 333
Class, crystal, definition      193
Clockwise rotation, definition      19 21
Comma subscript notation      45 299
Compatability equations for strain      132
Complex exponential notation, power flow      150 158
Complex exponential notation, power flow, time-harmonic wave functions      89 90 150 152
Complex, notation      89 90 150 152
Complex, notation, power flow      151 154 175 176
Complex, notation, Poynting vector      154 155
Compliance, abbreviated, anisotropic      195 210
Compliance, abbreviated, compliance-stiff ness relation      66 363 364
Compliance, abbreviated, constant entropy      280
Compliance, abbreviated, cylindrical coordinates      355 356
Compliance, abbreviated, definition      59
Compliance, abbreviated, full subscripts      59
Compliance, abbreviated, isothermal      279
Compliance, abbreviated, isotropic      165 166
Compliance, abbreviated, matrix      66 195 207 210
Compliance, abbreviated, numerical values      60 365 367
Compliance, abbreviated, physical realizability conditions      147 149 184
Compliance, abbreviated, rectangular coordinates      59
Compliance, abbreviated, spherical coordinates      355 356
Compliance, abbreviated, subscripts      66
Compliance, abbreviated, symbolic notation      63
Compliance, abbreviated, symmetry characteristics      195 207 210 360 363
Compliance, abbreviated, transformation in abbreviated subscripts      76 195
Compliance, abbreviated, transformation properties      62
Compliance, abbreviated, transpose symmetry      144
Compliance, abbreviated, units      60 365
Compressional, strain      11
Compressional, strain, wave      17 18 71 73 82 84 89 93 112 115 146 157 158 168 171
Conductive power loss      138 153
Conductivity, transpose symmetry      153
Conductivity, transpose symmetry, units      104
Conservation, electrical charge      105
Conservation, electrical charge, mass      131
Constitutive relation, conduction      104
Constitutive relation, conduction, elastic      60 66 88 89 101 106 107
Constitutive relation, conduction, electrical      60 104
Constitutive relation, conduction, magnetic      104 282
Constitutive relation, conduction, momentum density      106 282
Constitutive relation, conduction, piezoelectric      271 272 274 279 282 330 340
Conversion efficiency      325 (see also Conversion loss)
Conversion loss, definition      337
Conversion loss, definition, numerical values      339
Conversion loss, definition, units      339
Coordinate axes      60 79 212 297 360 372 379
Coordinate transformations      18 25 355 356
Coordinates, cylindrical      18 31 45 349 354
Coordinates, cylindrical, new      18 19
Coordinates, cylindrical, old      18 19
Coordinates, cylindrical, rectangular      18
Coordinates, cylindrical, right-handed      18
Coordinates, cylindrical, spherical      18 45 350 355
Coupled wave, dispersion relation      285
Coupled wave, dispersion relation formal theory      290 298
Coupled wave, dispersion relation, equations      292 295
Crystal, axes      60 78 79 82 84 194 195 200 212 297 329 330 360 372 379
Crystal, axes, class      193 196 200
Crystal, axes, point group      195 200
Crystal, axes, symmetry      60 191 195
Crystal, axes, system      193 196 200 Hexagonal)
Cubic crystal, acoustic attenuation, cube edge      68 73 89 93
Cubic crystal, acoustic attenuation, cube face      213 217 230 235
Cubic crystal, acoustic attenuation, cube face diagonal      82 86 89 93
Cubic crystal, acoustic attenuation, cube, cube face diagonal      93
Cubic crystal, acoustic attenuation, cube, edge      89 93
Cubic crystal, acoustic attenuation, plane      217 219
Curl, matrix representation      105
Current density, conduction      104
Current density, conduction, source      104
Current density, conduction, units      104
Cusps      235
Cylindrical coordinates, abbreviated sub, curl      349
Cylindrical coordinates, abbreviated sub, divergence      349
Cylindrical coordinates, abbreviated sub, divergence of stress      354
Cylindrical coordinates, abbreviated sub, elastic compliance      355 356
Cylindrical coordinates, abbreviated sub, elastic stiffness      355 356
Cylindrical coordinates, abbreviated sub, gradient      349
Cylindrical coordinates, abbreviated sub, scripts      351 354
Cylindrical coordinates, abbreviated sub, symmetric gradient      352
Damping, definition      86
Damping, definition, viscoelastic      87
Decibel      94 339
Deformation, definition      4 9
Deformation, definition, elastic      58
Deformation, definition, plastic      58
Deformed position      10
Degenerate waves      69 286
Differential particle displacement      4 6
Dilatation      185
Dispersion relation, Christoffel equation      212
Dispersion relation, Christoffel equation, coupled wave      285
Dispersion relation, Christoffel equation, definition      68
Dispersion, spatial      251 252
Dispersion, spatial, temporal      251 252
Displaced position      2
Displacement gradient matrix, anti, rectangular coordinates      6 7 11
Displacement gradient matrix, anti, symmetric part      13 30
Displacement gradient, definition      6
Displacement gradient, definition, symbolic notation      26
Displacement gradient, definition, transformation properties      21
Displacement gradient, definition, units      10
Displacement, electrical      25 26 104
Displacement, electrical, divergence of      25 105
Displacement, electrical, mechanical      1 7
Displacement, electrical, particle      1 7
Displacement, electrical, piezoelectric constitutive equations      271
Displacement, electrical, units      104
Dissipation      135 (see also Damping)
Distributed sources, body force      179 183 246 342
Distributed sources, body force, piezoelectric      316 317 318 324 342 343
Divergance of stress, abbreviated sub, cylindrical coordinates      354
Divergance of stress, abbreviated sub, definition      43
Divergance of stress, abbreviated sub, full subscripts      45
Divergance of stress, abbreviated sub, rectangular coordinates      44 45 47 52
Divergance of stress, abbreviated sub, scripts      51 52
Divergance of stress, abbreviated sub, spherical coordinates      355
Divergance of stress, abbreviated sub, symbolic notation      43
Divergence of a vector      25
Dot product, second rank tensor with third rank tensor with vector      293
Dot product, second rank tensor with vector      26 41
Double dot product (continued), second rank tensors      142
Double dot product (continued), third rank tensor with second rank tensor      272 293 296
Double dot product, fourth rank tensor with second rank tensor      63 88
Double refraction (birefringence)      126
Dyadic      26 43
Dynamical equations, rotational motion      46 47
Dynamical equations, rotational motion, symbolic notation      43
Dynamical equations, rotational motion, translational motion      43 45 101 106
Elastic constants, definition      59
Elastic constants, definition, stiffened      288 300 304 305 307
Elastic, anisotropy      84 191 210
Elastic, anisotropy, compliance      59
Elastic, anisotropy, constitutive relations      60
Elastic, anisotropy, deformation      58
Elastic, anisotropy, isotropy conditions      165 167
Elastic, anisotropy, limit      58
Elastic, anisotropy, restoring forces      57
Elastic, anisotropy, stiffness      59
Electric energy density      138 153
Electric field, boundary conditions      124 127 320
Electric field, boundary conditions, polarization      112
Electric field, boundary conditions, reflection coefficient      128
Electric field, boundary conditions, transmission coefficient      128
Electric field, boundary conditions, units      104
Electrical charge density, units      105
Electrical charge, conservation of      105
Electrical displacement      25 26 104
Electrical displacement, boundary conditions      132
Electrical displacement, divergence of      25 105
Electrical displacement, piezoelectric constitutive equations      271
Electrical displacement, units      104
Electrical polarization      102
Electrical polarization, piezoelectric constitutive equations      271
Electrical polarization, spontaneous      270
Electrical potential      294 299
Electroacoustic transducers      103 324 340
Electromagnetic boundary conditions      124 127
Electromagnetic field equations      103 104 105 136 281
Electromagnetic impedance, definition      130
Electromagnetic impedance, definition, numerical values      131
Electromagnetic impedance, definition, units      130
Electromagnetic plane waves      109 112 116 120 127 129 139 141 286 287 289 290 298
Electromagnetic Poynting vector, complex      154
Electromagnetic Poynting vector, real      138
Electromagnetic Poynting vector, units      138
Electromagnetic Poynting’s Theorem, complex      152 154
Electromagnetic Poynting’s Theorem, real      136 141
Electromagnetic reflection      127 129
Electromechanical coupling, constants      307 308 322 335
Electromechanical coupling, constants, terms      270 276
Electrostriction      102
Energy conservation      135
Energy density, average      155
Energy density, average, elastic      144
Energy density, average, electric      138 153
Energy density, average, kinetic      143 155
Energy density, average, magnetic      138 153
Energy density, average, strain      144 155
Energy velocity, cubic crystal      230 233
Energy velocity, cubic crystal, definition      222
Energy velocity, cubic crystal, group velocity      229 234 259 260
Energy velocity, cubic crystal, hexagonal crystal      222 223 227 228
Energy velocity, cubic crystal, phase velocity      224
Energy velocity, cubic crystal, slowness surface      224 225
entropy      277 280
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