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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
Equations of motion, rotational, motion      46 47
Equations of motion, rotational, symbolic notation      43
Equations of motion, rotational, translational motion      43 45 101 106
Equilibrium position      2 10
Equivalent circuit (transducer), distributed, circuit      339
Equivalent circuit (transducer), distributed, Krimholz — Leedom — Matthaei model      341
Equivalent circuit (transducer), distributed, Mason model      339 340
Equivalent point diagram      193 196 200
Euler angles      82
Extensional strain      11
Faraday rotation, acoustic      255 256
Faraday rotation, acoustic, condition for      25 3
Faraday rotation, acoustic, definition      250 252
Faraday rotation, acoustic, electromagnetic      254 255
Faraday rotation, acoustic, relation to dispersion      251
Frequency response, curve      323
Frequency response, curve, function      336
Frictionless boundary      133
Full subscripts, definition      27 28 49 52 64 66 87 271 299
Fundamental mode      345
Fundamental resonance      336
Geometrical capacitance      324 333
Gibbs function      278 279
Group (symmetry), definition      193
Group (symmetry), definition, equivalent point diagram      193 196 200
Group (symmetry), definition, generator      193 195 206
Group velocity, cubic crystal      233 234
Group velocity, cubic crystal, definition      227 228 259
Group velocity, cubic crystal, energy velocity      229 234 259 260
Half wave plate      250
Hexagonal crystal, acoustic power flow, (6mm) X-cut transducer      329 333 345
Hexagonal crystal, acoustic power flow, (6mm) Z-cut transducer      343 345
Hexagonal crystal, acoustic power flow, acoustic propagation, X-axis      112 115
Hexagonal crystal, acoustic power flow, Christoffel equation      384
Hexagonal crystal, acoustic power flow, electromagnetic power flow, X-axis      139 141
Hexagonal crystal, acoustic power flow, electromagnetic propagation, X-axis      109 112
Hexagonal crystal, acoustic power flow, energy velocity      222 223 227 228
Hexagonal crystal, acoustic power flow, slowness curves      227 228 388 391
Hexagonal crystal, acoustic power flow, uniaxial property      116
Hexagonal crystal, acoustic power flow, X-axis      146 147 155 158
Hexagonal crystal, acoustic power flow, X-propagation      296 298 300 302
Hexagonal crystal, acoustic power flow, XZ-plane      147
Hexagonal crystal, acoustic power flow, XZ-propagation      302 305
Hooke’s Law, abbreviated subscripts      66 67 87
Hooke’s Law, abbreviated subscripts, full subscripts      59 61 87
Hooke’s Law, abbreviated subscripts, including damping      86 88
Hooke’s Law, abbreviated subscripts, qualitative statement      58
Hooke’s Law, abbreviated subscripts, symbolic notation      63 88 101
Immittance matrix, transducer      329
Impedance (continued), motional      336 343 345
Impedance (continued), radiation      336 343 345
Impedance (continued), relation to reflection coefficient      186 187
Impedance (continued), specific      131
Impedance (continued), transformation equation      187 263
Impedance (continued), transmission line      175
Impedance (continued), wave      130
Impedance, acoustic      131 176 246 250 318 320 323
Impedance, acoustic, characteristic      130 131 175 176 247 249
Impedance, acoustic, electrical input, transducer      324 325 333 337
Impedance, acoustic, electromagnetic      130
Impedance, acoustic, intrinsic      130
Impedance, acoustic, matching transformers      188
Impedance, acoustic, matrix, transducer      328
Impedance, acoustic, mechanical      333
Inertia, moment of      46
Inertial forces      43 57 72
Interference      181 323
Internal energy      276
Intrinsic impedance      130
Inverse velocity surface, definition      212
Inversion symmetry      192 194 200 270 281
IRE angles      81
Irrotational field      294
Isotropic, Christoffel equation      168 169 383
Isotropic, Christoffel equation, slowness curves      385
Isotropy, bulk modulus      185
Isotropy, bulk modulus, constants      167
Isotropy, bulk modulus, effect on piezoelectricity      281
Isotropy, bulk modulus, elastic      165 167
Isotropy, bulk modulus, Lam      6
Isotropy, bulk modulus, Poisson’s ratio      185
Isotropy, bulk modulus, Young’s modulus      185
Krimholz — Leedom — Matthaei transducer, model      341
Lam      6
Lam, constants, definition      167
Lam, definition      13 14
Lam, effects      47
Lam, physical significance      14
Longitudinal wave      73 179 183 214 217
Longitudinal wave, definition      73
Longitudinal wave, excitation by distributed body forces      179 183
Magnetic energy density      138 153
Magnetic field, boundary conditions      124 127
Magnetic field, boundary conditions, reflection coefficient      128
Magnetic field, boundary conditions, transmission coefficient      128
Magnetic field, boundary conditions, units      104
Magnetic flux density, boundary, conditions      132
Magnetic flux density, boundary, divergence of      105
Magnetic flux density, boundary, units      104
Magnetostriction      102
Mason transducer model      339 340
Mass density, inertial effect      43
Mass density, inertial effect, nonlinear effects      43
Mass density, inertial effect, numerical values      68 358 359
Mass density, inertial effect, units      68 358 359
Mass, conservation of      131
Material deformation, definition      4 9
Material particle, definition      1 33
Material particle, definition, displaced position      2
Material particle, definition, equilibrium position      2
Matrix, acoustic impedance      246 250
Matrix, acoustic impedance, admittance      329
Matrix, acoustic impedance, Bond strain transformation      75 195 207 208 272 273 275
Matrix, acoustic impedance, Bond stress transformation      74 77 80 81 195 207 208 272 273 275
Matrix, acoustic impedance, Christoffel      165 168 212 250
Matrix, acoustic impedance, column      20
Matrix, acoustic impedance, coupled wave equation      296 297
Matrix, acoustic impedance, curl      105
Matrix, acoustic impedance, displacement gradient      6 7 11
Matrix, acoustic impedance, elastic compliance      66 195 207 210
Matrix, acoustic impedance, elastic stiffness      66 167 195 207 210
Matrix, acoustic impedance, identity      20
Matrix, acoustic impedance, immittance      329
Matrix, acoustic impedance, impedance      328
Matrix, acoustic impedance, inversion of Bond matrices      76
Matrix, acoustic impedance, matrices      66
Matrix, acoustic impedance, orthogonal      20
Matrix, acoustic impedance, permittivity      25
Matrix, acoustic impedance, piexoelectric stress      275
Matrix, acoustic impedance, piezoelectric strain      272
Matrix, acoustic impedance, relaxation      106 107
Matrix, acoustic impedance, rotation      13 30
Matrix, acoustic impedance, strain      9 11 13
Matrix, acoustic impedance, stress      39
Matrix, acoustic impedance, stress matrices      274
Matrix, acoustic impedance, transformation      20
Matrix, acoustic impedance, transpose      13
Matrix, acoustic impedance, viscosity      87 88 155 170 210
Maxwell’s equations      103 104 105 136 281
Mechanical impedance, definition      327 333
Mechanically free boundary      133
Mohr’s circle      53 54
Moment of inertia      46
Momentum density, constitutive, relation      106
Monoclinic crystal, acoustic propagation, Z-axis      258
Neper      93
Newton’s law      43
Nondegenerate waves      85 112 115 251
Nonlinearity, mass density      43
Nonlinearity, mass density, strain      10
Nonlinearity, mass density, strain-stress      58
Nonreciprocity      255
Normal mode, transmission line      176 183 246 317 324
Normal surface, cubic crystal      236
Normal surface, cubic crystal, definition      226 227
Normal surface, cubic crystal, ray surface      226
Orthogonal matrix      20
Orthogonality, acoustic wave polarizations      115 123 219 220 237
Orthogonality, acoustic wave polarizations, E and H in an electromagnetic wave      112 119
Orthorhombic crystal, Christoffel, equation      385
Orthorhombic crystal, Christoffel, slowness curves      401 405
Overtone mode      346
Particle displacement, definition      2
Particle displacement, definition, differential      4 7
Particle displacement, definition, gradient      6 7 11
Particle displacement, definition, polarization      3
Particle displacement, definition, strain-displacement relation      10
Particle displacement, definition, symbolic notation      26
Particle displacement, definition, transformation properties      20 22 24
Particle displacement, definition, velocity      106
Particle velocity, boundary conditions      125 127 133
Particle velocity, boundary conditions, polarization      113 115 123 219 220 237
Particle velocity, boundary conditions, reflection coefficient      129 130 320
Particle velocity, boundary conditions, transmission coefficient      130 321
Particle, definition      1 33
Permeability, free space      104
Permeability, free space, transpose symmetry      138
Permeability, free space, units      104
Permittivity (continued), numerical values      104 380 382
Permittivity (continued), symmetry characteristics      379
Permittivity (continued), transformation properties      117
Permittivity (continued), transpose symmetry      138
Permittivity (continued), units      104 381
Permittivity, clamped      322
Permittivity, clamped, constant strain      274 322
Permittivity, clamped, constant stress      272
Permittivity, clamped, definition      25
Permittivity, clamped, free space      104
Permittivity, clamped, matrix      25
Phase front      227
Phase velocity, average energy density      155 222
Phase velocity, average energy density, average power flow density      155 222
Phase velocity, average energy density, definition      16
Phase velocity, average energy density, energy velocity      224
Phase velocity, average energy density, magnetic values      68 69
Phase velocity, average energy density, surface      226
Physical realizability conditions, compliance      148 149 184
Physical realizability conditions, stiffness      148 184
Pictorial field representations, field line, diagrams      15 18
Pictorial field representations, field line, grid diagrams      15 18
Piezo magnetism, biased      103
Piezo magnetism, biased, intrinsic      102
Piezoelectric strain constants, abbreviated, definition      271
Piezoelectric strain constants, abbreviated, full subscripts      271
Piezoelectric strain constants, abbreviated, matrix array      272
Piezoelectric strain constants, abbreviated, numerical values      275 375
Piezoelectric strain constants, abbreviated, scripts      272 273
Piezoelectric strain constants, abbreviated, subscripts      272
Piezoelectric strain constants, abbreviated, symbolic notation      272
Piezoelectric strain constants, abbreviated, symmetry characteristics      280 372 374
Piezoelectric strain constants, abbreviated, transformation properties      271
Piezoelectric strain constants, abbreviated, transpose symmetry      279
Piezoelectric strain constants, abbreviated, units      275 375 376
Piezoelectric stress constants, abbreviated, definition      274
Piezoelectric stress constants, abbreviated, matrix array      275
Piezoelectric stress constants, abbreviated, numerical values      275 377 378
Piezoelectric stress constants, abbreviated, subscripts      274
Piezoelectric stress constants, abbreviated, symbolic notation      274
Piezoelectric stress constants, abbreviated, symmetry characteristics      280 372 374
Piezoelectric stress constants, abbreviated, transpose symmetry      279
Piezoelectric stress constants, abbreviated, units      275 377
Piezoelectricity (continued), converse effect      102
Piezoelectricity (continued), coupled wave equations      292 295
Piezoelectricity (continued), direct effect      102
Piezoelectricity (continued), distributed piezoelectric sources      316 317 318 324 342 343
Piezoelectricity (continued), inversion symmetry      270 281
Piezoelectricity (continued), isotropy      281
Piezoelectricity (continued), one-dimensional model      265 270
Piezoelectricity (continued), piezoelectric stiffening      288 305 307
Piezoelectricity (continued), piezoelectric strain equations      271 273 279 282
Piezoelectricity (continued), piezoelectric stress equations      274 279 282
Piezoelectricity (continued), quasistatic equations      299 331
Piezoelectricity (continued), resonators      323 324
Piezoelectricity (continued), slowness curves      307 309 310 311
Piezoelectricity (continued), stiffened elastic constants      288 300 304 305 307
Piezoelectricity (continued), stiffening      317
Piezoelectricity, acoustic impedance      318 320 323
Piezoelectricity, acoustic impedance, biased      103
Piezoelectricity, acoustic impedance, constitutive relation      271 272 274 279 300 340
Plane wave, acoustic      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
Plane wave, acoustic, compressional wave      72
Plane wave, acoustic, electromagnetic      109 112 116 120 127 129 139 141 286 287 289 290 298
Plane wave, acoustic, quasiacoustic      285 286 287 289 290 298
Plane wave, acoustic, quasielectromagnetic      285 286 287 289 290
Plane wave, acoustic, shear wave      47 49
Plastic, deformation      58
Point transformation      192
Poisson’s ratio, definition      185
Poisson’s ratio, definition, numerical values      185
Polar media, definition      47
Polar media, definition, effect on symmetry of the stress matrix      47
Polarization, birefringent medium      85 86 112 251
Polarization, birefringent medium, circular      3 69 71 85 86
Polarization, birefringent medium, electric field      112
Polarization, birefringent medium, electrical      270 271
Polarization, birefringent medium, equation      213
Polarization, electronic      270
Polarization, elliptical      3 69 71 85 86
Polarization, Faraday rotation      251
Polarization, ionic      270
Polarization, linear      3 17 18 69 73 84 86
Polarization, longitudinal      73 115
Polarization, orthogonality      112 115 119 123 219 220 237
Polarization, particle displacement      3
Polarization, particle velocity      113 115 123 219 220 237
Polarization, rotary activity      251
Polarization, transverse      73 115
Poly crystalline damping      94
Potential, electrical      294
Power flow deflection, acoustic      147 222 236 313 314
Power flow deflection, acoustic, electrogmagnetic      141
Power flow, average      140 151 155 156 157 222
Power flow, average, complex acoustic      154 155 176 222
Power flow, average, complex electromagnetic      154 175
Power flow, average, complex, definition      151
Power flow, average, instantaneous, definition      150
Power flow, average, quasistatic      314
Power flow, average, reactive      151
Power flow, average, real acoustic      145 314
Power flow, average, real electromagnetic      138
Power flow, average, resistive      151
Power loss, conductive      138 153
Power loss, conductive, viscoelastic      144 154 157
Poynting vector, complex acoustic      155 221
Poynting vector, complex acoustic, complex electromagnetic      152 154
Poynting vector, complex acoustic, complex piezoelectric      312
Poynting vector, complex acoustic, quasistatic approximation      312 313
Poynting vector, complex acoustic, real acoustic      145
Poynting vector, complex acoustic, real electromagnetic      138
Poynting vector, complex acoustic, real piezoelectric      311
Poynting’s Theroem, complex acoustic      154 158
Poynting’s Theroem, complex acoustic, complex electromagnetic      152 154
Poynting’s Theroem, complex acoustic, complex piezoelectric      312
Poynting’s Theroem, complex acoustic, definition      135
Poynting’s Theroem, complex acoustic, quasistatic approximation      312 313
Poynting’s Theroem, complex acoustic, real acoustic      142 147
Poynting’s Theroem, complex acoustic, real electromagnetic      136 141
Poynting’s Theroem, complex acoustic, real piezoelectric      310
Pulse echo technique      260 261
Pure mode (continued), symmetry directions      236 240 406
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