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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
Pure mode, definition      124 216 236
Pure mode, definition, nonsymmetry directions      239 407 410
Quarter wave plate      250
Quarter wave transformers      188 189
Quasiacoustic wave      285 286 287 289 290 298
Quasiacoustic wave, definition      285
Quasicompressional wave, definition      122 (see also Quasilongitudinal wave)
Quasielectromagnetic wave      285 286 287 289 290
Quasielectromagnetic wave, definition      285
Quasilongitudinal wave      122 147 216 218 304
Quasilongitudinal wave, acoustic impedance      247 250
Quasilongitudinal wave, definition      122
Quasilongitudinal wave, power flow in      147
Quasishear wave      122 147 216 218 304
Quasishear wave, acoustic impedance      247 250
Quasishear wave, definition      122
Quasishear wave, power flow in      147
Quasistatic, approximation      298 305 312 313
Quasistatic, approximation, equations      299 331
Quasistatic, approximation, field      289 294
Quasistatic, approximation, power flow      314
Quasistatic, approximation, Poynting vector      312 313
Quasistatic, approximation, Poynting’s Theorem      312 313
Quasitransverse wave, definition      119 122
Qy acoustic, definition      92
Qy acoustic, definition, isotropic      170
Qy acoustic, definition, numerical values      170 171
Ray surface, cubic crystal      234 236
Ray surface, cubic crystal, definition      223
Ray surface, cubic crystal, normal surface      226
Ray surface, cubic crystal, slowness surface      224
Ray surface, cubic crystal, wave vector      224 226
Rayl, definition      131
Reactive power flow      151
Reciprocity      256 340
Reflection coefficient, electric field      128
Reflection coefficient, electric field, magnetic field      128
Reflection coefficient, particle velocity      129 130 320
Reflection coefficient, relation to impedance      186 187
Reflection coefficient, stress      130
Reflection, acoustic      129 130 320
Reflection, acoustic, anti-reflection layers      188
Reflection, acoustic, coefficient      128 130
Reflection, acoustic, electromagnetic      127 129
Reflection, acoustic, symmetry      192 194
Relaxation matrix      106 107
Resistive power flow      151
Resonator, frequency response      323
Resonator, frequency response, piezoelectric      323 324
Rigid boundary      133
Rigid motion, rotation      4 8
Rigid motion, rotation, translation      4
Rigidly bonded boundary      125 127
Rotary activity, acoustic      257
Rotary activity, acoustic, condition for      253
Rotary activity, acoustic, definition      250 252
Rotary activity, acoustic, electromagnetic      256 257
Rotary activity, acoustic, relation to dispersion      251
Rotation-inversion symmetry      192 195
Rotation-reflection symmetry      192
Rotational field      294 299
Saint — Venant strain compatibility, equations      132
Scattering, coefficients      128 130
Scattering, coefficients, polycrystalline      94
Shear, strain, pure      14 15
Shear, strain, pure, simple      12 14 15 17 18
Shear, strain, pure, wave      17 18 47 49 68 71 84 86 89 93 112 115 146 147 155 157 168 171 214 218
Slowness curves, cubic      215 219 235 385 388
Slowness curves, cubic, hexagonal      227 228 388 391
Slowness curves, cubic, isotropic      385
Slowness curves, cubic, orthorhombic      401 405
Slowness curves, cubic, piezoelectric      307 309 310 311
Slowness curves, cubic, tetragonal      395 402
Slowness curves, cubic, trigonal      309 310 311 390 395
Slowness surface, definition      212
Slowness surface, definition, energy velocity      224 225
Slowness surface, definition, ray surface      224
Slowness surface, definition, symmetry      238 240
Sources (distributed), body force      179 183 246 342
Sources (distributed), body force, piezoelectric      316 317 318 324 342 343
Specific impedance      131
Spherical coordinates, abbreviated sub, curl      350
Spherical coordinates, abbreviated sub, divergence      350
Spherical coordinates, abbreviated sub, divergence of stress      355
Spherical coordinates, abbreviated sub, elastic compliance      355 356
Spherical coordinates, abbreviated sub, elastic stiffness      355 356
Spherical coordinates, abbreviated sub, gradient      350
Spherical coordinates, abbreviated sub, scripts      352 355
Spherical coordinates, abbreviated sub, symmetric gradient      353
State variable      276
Stiffened acoustic wave, definition      289
Stiffened elastic constants, definition      288
Stiffening, piezoelectric      288 305 307 317
Stiffness, abbreviated subscripts      65
Stiffness, abbreviated subscripts, anisotropic      195 210
Stiffness, abbreviated subscripts, bulk modulus      185
Stiffness, abbreviated subscripts, cylindrical coordinates      355 356
Stiffness, abbreviated subscripts, definition      59
Stiffness, abbreviated subscripts, full subscripts      59
Stiffness, abbreviated subscripts, isotropic      167
Stiffness, abbreviated subscripts, Lamd constants      167
Stiffness, abbreviated subscripts, matrix      66 167 195 207 210
Stiffness, abbreviated subscripts, number of constants      59
Stiffness, abbreviated subscripts, numerical values      60 368 371
Stiffness, abbreviated subscripts, physical realizability conditions      147 149 184
Stiffness, abbreviated subscripts, rectangular coordinates      59
Stiffness, abbreviated subscripts, spherical coordinates      355 356
Stiffness, abbreviated subscripts, stiffness-compliance relation      66 363 364
Stiffness, abbreviated subscripts, symbolic notation      63
Stiffness, abbreviated subscripts, symmetry characteristics      195 207 210 360 363
Stiffness, abbreviated subscripts, transformation in abbreviated subscripts      76 195
Stiffness, abbreviated subscripts, transformation properties      62
Stiffness, abbreviated subscripts, transpose symmetry      144
Stiffness, abbreviated subscripts, units      60 368
Stiffness, abbreviated subscripts, Young’s modulus      185
Stored energy density, average      155
Stored energy density, average, elastic      144
Stored energy density, average, electric      138 153
Stored energy density, average, kinetic      143 155
Stored energy density, average, magnetic      138 153
Stored energy density, average, strain      144 155
Stored energy, acoustic      145
Stored energy, acoustic, average      156
Stored energy, acoustic, electromagnetic      137
Stored energy, acoustic, kinetic      154
Stored energy, acoustic, strain      154
Strain, abbreviated subscripts      27 28
Strain, abbreviated subscripts, compatibility equations      132
Strain, compressional      11
Strain, definition      10
Strain, extensional      11
Strain, full subscripts      10 11
Strain, inhomogeneous      23 24
Strain, linearized      10
Strain, matrix      9 11 13
Strain, nonlinear      10
Strain, nonuniform      16 23 24
Strain, numerical values      10 12
Strain, piezoelectric strain equations      271 273 279 282
Strain, pure dilatation      185
Strain, pure shear      14 15
Strain, scripts      75
Strain, simple shear      12 14 15 17 18
Strain, strain-displacement relation      10
Strain, symbolic notation      26
Strain, transformation properties      21 24
Strain, uniform      16
Strain, units      10
Strain-displacement relation, abbreviated, definition      10
Strain-displacement relation, abbreviated, full subscripts      11
Strain-displacement relation, abbreviated, subscripts      29
Strain-displacement relation, abbreviated, symbolic notation      27 101 106
Strain-stress relation      58 59
Stress, abbreviated subscripts      49 51
Stress, abbreviated subscripts, arbitrarily oriented surface      3 7 41
Stress, abbreviated subscripts, boundary conditions      125 127 133
Stress, abbreviated subscripts, components      34
Stress, abbreviated subscripts, compressional      35 36
Stress, abbreviated subscripts, definition      34 35
Stress, abbreviated subscripts, divergence of      43
Stress, abbreviated subscripts, full subscripts      34 35
Stress, abbreviated subscripts, matrix      39
Stress, abbreviated subscripts, matrix symmetry      47
Stress, abbreviated subscripts, Mohr’s circle transformation      53 54
Stress, abbreviated subscripts, piezoelectric stress equations      274 279 282
Stress, abbreviated subscripts, reflection coefficient      130
Stress, abbreviated subscripts, scripts      74
Stress, abbreviated subscripts, shear      37
Stress, abbreviated subscripts, symbolic notation      41
Stress, abbreviated subscripts, tensile      36
Stress, abbreviated subscripts, transformation properties      41 42
Stress, transmission coefficient      130
Stress, units      34
Stress-strain relation      58 59
Subscripts, abbreviated      27 28 49 52 64 66 87 106 164 165 272 274 292 293 296 299 305 351 355
Subscripts, abbreviated, comma notation      45 299
Subscripts, abbreviated, full      27 28 49 52 64 66 87 271 299
Summation convention      10
Symbolic notation      25 27 41 43 88 106 107 164 165 186 272 274 292 295 299 305
Symbolic notation, acoustic wave equation      164
Symbolic notation, Christoffel equation      186
Symbolic notation, compliance      63
Symbolic notation, coupled wave equations      292 295
Symbolic notation, displacement gradient      26
Symbolic notation, divergence of stress      43
Symbolic notation, Hooke’s Law      63 88 101
Symbolic notation, particle displacement      26
Symbolic notation, piezoelectric constitutive relation      272 274
Symbolic notation, piezoelectric strain constants      272
Symbolic notation, piezoelectric stress constants      274
Symbolic notation, stiffness      63
Symbolic notation, strain      26
Symbolic notation, strain-displacement relation      27
Symbolic notation, stress      41
Symbolic notation, symmetric displacement gradient      27
Symbolic notation, translational equation of motion      43
Symbolic notation, viscosity      88
Symmetric displacement gradient, abbreviated subscripts      29
Symmetric displacement gradient, full subscripts      13
Symmetric displacement gradient, matrix      13
Symmetric displacement gradient, symbolic notation      26 27
Symmetric gradient, cylindrical, coordinates      352
Symmetric gradient, cylindrical, rectangular coordinates      29 30
Symmetric gradient, cylindrical, spherical coordinates      353
Symmetric tensor      138 142
Symmetry, anisotropic      191 210
Symmetry, anisotropic, arguments      165 167 191 192
Symmetry, anisotropic, class      60 193 358 359
Symmetry, anisotropic, conditions      207 280
Symmetry, anisotropic, crystal      60 191 195
Symmetry, anisotropic, equivalent directions      61 70 84
Symmetry, anisotropic, equivalent point diagram      193 196 200
Symmetry, anisotropic, group      193
Symmetry, group generator      193 195 206
Symmetry, inversion      192 194 200 270
Symmetry, isotropic      165 167 169
Symmetry, operation      192
Symmetry, pure mode directions      236 240 406
Symmetry, reflection      192 194
Symmetry, rotation      192 194
Symmetry, rotation-inversion      192 195
Symmetry, rotation-reflection      192
Symmetry, slowness surface      238 240
Symmetry, transpose      138 144 153 155 278 280
System, crystal, definition      193
Temperature      277 279
Tension      36
Tensor, dot product      26 41 142 272 293
Tensor, dot product, double dot product      63 88 142 272 293 296
Tensor, dot product, first rank      21
Tensor, dot product, fourth rank      62 63 87
Tensor, dot product, second rank      21 26 41 104
Tensor, dot product, symbolic notation      26
Tensor, dot product, symmetric      138 142
Tensor, dot product, third rank      272
Terminal planes      326
Tetragonal crystal, Christoffel equation      384
Tetragonal crystal, Christoffel equation, slowness curves      395 402
Thermodynamic, energy function      277 278
Thermodynamic, energy function, Gibbs function      278 279
Thermodynamic, energy function, internal energy      276
Thermodynamic, energy function, second law      277
Thermodynamic, energy function, state variable      276
Thermoelastic damping mechanism      94
Thin disk transducer      324
Time-harmonic wave functions, complex, exponential notation      89 90 150 152
Traction force, boundary conditions      125 127 133
Traction force, boundary conditions, definition      34 35
Traction force, boundary conditions, torques produced by      46
Traction force, boundary conditions, units      34
Transducer, acoustic bandshape function      338 339
Transducer, acoustic bandshape function, admittance equations      329 331 333
Transducer, acoustic bandshape function, backing plate      325
Transducer, acoustic bandshape function, circuit bandshape function      338
Transducer, acoustic bandshape function, conversion efficiency      325
Transducer, acoustic bandshape function, conversion loss      327 329
Transducer, electrical input impedance      324 325 333 337
Transducer, electromechanical coupling constant      335
Transducer, equivalent circuits      339 341
Transducer, frequency response      338 339
Transducer, fundamental resonance      336
Transducer, hexagonal (6mm) X-cut      329 333 345
Transducer, hexagonal (6mm) Z-cut      343 345
Transducer, immittance matrix      328 329
Transducer, impedance equations      328 330 333 335
Transducer, motional impedance      336 343 345
Transducer, overtone mode      346
Transducer, piezoelectric      103 324 340
Transducer, piezomagnetic      103
Transducer, radiation impedance      336 343 345
Transducer, reciprocity      340
Transducer, terminal planes      326
Transducer, thin disk      324
Transducer, trigonal (3m) Z-cut      343 345
Transformation, abbreviated subscripts      73 81 88 195 272 273 275
Transformation, abbreviated subscripts, coordinate      18 25 355 356
Transformation, abbreviated subscripts, Euler angles      82
Transformation, abbreviated subscripts, fourth rank tensor      62 63
Transformation, abbreviated subscripts, impedance      187 263
Transformation, abbreviated subscripts, impedance-matching      188
Transformation, abbreviated subscripts, IRE angles      81
Transformation, abbreviated subscripts, matching      188
Transformation, abbreviated subscripts, quarter wave      188 189
Transformation, abbreviated subscripts, second rank tensor      21 41
Transformation, abbreviated subscripts, successive coordinate transformations      79
Transformation, abbreviated subscripts, third rank tensor      271
Transformation, abbreviated subscripts, vector      20
Translation, rigid      4
Transmission coefficient, electric field      128
Transmission coefficient, electric field, magnetic field      128
Transmission coefficient, electric field, particle velocity      130 321
Transmission coefficient, electric field, stress      130
Transmission line, characteristic, excitation by distributed sources      178 179 246 317 324
Transmission line, characteristic, impedance      175
Transmission line, characteristic, model for anisotropic media      241 246
Transmission line, characteristic, model for isotropic media      171 176
Transmission line, characteristic, model for piezoelectric media      315 317 327
Transmission line, characteristic, normal mode amplitudes      177 318 322
Transmission line, characteristic, normal mode equations      177 178 246 318
Transpose, matrix      13
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