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Achenbach J.D. — Wave propagation in elastic solids
Achenbach J.D. — Wave propagation in elastic solids

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Название: Wave propagation in elastic solids

Автор: Achenbach J.D.

Аннотация:

The propagation of mechanical disturbances in solids is of interest in many branches of the physical scienses and engineering. This book aims to present an account of the theory of wave propagation in elastic solids. The material is arranged to present an exposition of the basic concepts of mechanical wave propagation within a one-dimensional setting and a discussion of formal aspects of elastodynamic theory in three dimensions, followed by chapters expounding on typical wave propagation phenomena, such as radiation, reflection, refraction, propagation in waveguides, and diffraction. The treatment necessarily involves considerable mathematical analysis. The pertinent mathematical techniques are, however, discussed at some length.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1973

Количество страниц: 425

Добавлена в каталог: 16.10.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abel integral equation      363 364
Abramowitz, M.      241 277
Acceleration, convected part      13
Acceleration, in material description      13
Acceleration, in spatial description      13
Achenbach, J.D.      29 159 241 380 398 409
Amplitude, coefficients      38
Amplitude, modulation      216
Amplitude, of harmonic wave      30
Amplitude, ratios      175 177 179 184
Anisotropy      409
Antinode      32
Antiplane line-load, in an unbounded medium      107 156
Antiplane line-load, on a half-space      283 359
Antiplane shear motions      58
Apparent wavenumber, phase velocity      170
Arenberg, D.L.      177
Argument, principle of      189
Armenakas, A.E.      240 244 248
Asymptotic approximations      271—283 288
Attenuation, due to thermoelastic coupling      394
Attenuation, due to viscoelastic behavior      403
Axial shear motions      136 148
Baker, B.B.      102
Balance of energy      16
Balance of linear momentum      15 51
Balance of moment of momentum      52
Basic singular solutions      96 105
Bath, M.      294
Bernoulli-Euler beam      251
Biot, M.A.      211
Bishop, R.E.D.      176
Bland, D.R.      412
Bleich, H.H.      318
Bleustein, J.L.      251
Body forces      51 89
Boley, B.A.      392 396
boundary conditions      56 82
Branches of frequency spectrum      206
Brekhovskikh, L.M.      9
Brillouin, L.      35
Bullen, K.E.      9
Cagniard, L.      9 195
Cagniard-de Hoop method      298—301
Carrier, G.F.      42 264 272 273
Center of compression      101
Chadwick, P.      391
Chao, C.C      318
Chaplygin's transformation      154
Characteristics, method of      148—154 413
Chou, P.C      154
Christensen, R.M.      399 402
Circular frequency      31
Clay, C.S.      9 278
Clifton, R.J.      154
Completeness theorem      85
complex modulus      402
Complex notation      32
Continuum mechanics, general discussion      4
Continuum mechanics, nonlinear, in one dimension      11—20
Copson, E.T.      102
Cosine transform      270 347
Courant, R.      148
Crandall, S.H.      127 196 254
Critescu, N.      409
Critical angle of incidence      179
Curtis, C.W.      345
Curvilinear coordinates      68—73
Cylindrical rods, approximate theories for      249—254
Cylindrical rods, flexural waves in      246—249
Cylindrical rods, impact of      344—353
Cylindrical rods, longitudinal waves in      242—246
Cylindrical rods, torsional waves in      241—242
Cylindrical rods, waves in      236—249
D'Alembert solution      91
Davies, R.M.      245 249 344
de Hoop, A.T.      105 109 298 369
Deformation      11 50
Deresiewicz, H.      253 394
Diffraction by a slit, of a longitudinal wave      380—388
Diffraction by a slit, of a transverse wave      372—380
Dilatational wave      see “Longitudinal wave”
Dirac delta function      90
dispersion      31
Dispersion, anomalous      218
Dispersion, due to thermoelastic coupling      394
Dispersion, in viscoelastic media      403 404
Dispersion, in waveguides      203 205
Dispersion, normal      218
Displacement      11 50
Displacement, gradient      12
Displacement, potentials      65 85
Displacement, representation      85
Divergence theorem      50
Dix, C.H.      9 195
Eason, G.      301
Eckart, C      278
Elastic constants      54
Elasticity      16 52
Elastodynamic, solution      93
Elastodynamic, state      80
Elastodynamic, theory      79
Energy, balance of      16
Energy, flux of      33 166
Energy, identity      59
Energy, partition of      181
Energy, transport      208
Equations of motion, displacement      16 18 56
Equations of motion, in material description      16
Equations of motion, in spatial description      16
Equations of motion, stress      16 55
Equivoluminal wave      see “Transverse waves”
Erdelyi, A.      273 278 297 331
Euler equations      62
Ewing, W.M.      9 186 220 294
Exponential transforms      264—269
Fang, S.J.      241
Felder, R.A.      309
Feshbach, H.      62
Flinn, E.A.      9 195
Fluid, ideal      78
Flux of energy      33 166 209
Folk, R.      345
Forrestal, M.J.      309
Fourier, cosine transform      270 347
Fourier, exponential transform      265 284 291 333
Fourier, integral theorem      40 264
Fourier, integrals      39 273
Fourier, series      37
Fourier, sine transform      270 347
Fox, G.      345
Fracture      379
Frequency, circular      31
Frequency, cut-off      207
Frequency, equation      205 223
Frequency, fundamental      33
Frequency, spectrum      206 226 240
Friedlander, F.G.      139
Fugelso, L.E.      309
Fulton, J.      301
Function, Airy      278
Function, analytic      263
Function, entire      263
Function, regular      263
Fung, Y.C      254 255
Gakenheimer, D.C      318
Gauss' theorem      49
Gazis, D.C      240 244 248
Geometrical optics      139
Goodier, J.N.      145 176
Governing equations, in cylindrical coordinates      73—75
Governing equations, in rectangular coordinates      66—68
Governing equations, in spherical coordinates      75—77
Governing equations, linearized      17—21 50—59
Governing equations, nonlinear      11—17
Green's function      111 359
Green, W.A.      249
Group velocity      210 211 216—218
Guided waves      202
Half-space, subjected to, antiplane surface disturbances      283 358
Half-space, subjected to, in-plane line load      289 303
Half-space, subjected to, normal point load      310
Half-space, subjected to, uniform surface tractions      21
Hamilton's principle      61
Handelman, G.H.      379
Hankel transform      270 311 343
Harmonic waves      30 115 124 132 136 165 202
Harmonics      33
Head wave      307 388
Heat conduction      392 398
Helmholtz', decomposition      88
Helmholtz', equation      116
Helmholtz', first (interior) formula      117
Helmholtz', second (exterior) formula      117
Hemann, J.H.      29
Herrmann, G.      240 244 248
Hilbert, D.      148
Historical sketch      8
Homogeneous, solid      52
Homogeneous, solutions      154
Hooke's law      53
Hopkinson, B.      27
Huyghens' principle      95
Imaging      112 113
impact      344
Incident wave      165 373 380
Indicial notation      47
Ingard, K.U.      9
Inhomogeneous plane waves      125
Initial conditions      56
Integral representations      103 109
Integral transforms      262—271
Irrotational wave      see “Transverse waves”
Isotropy      52
Jahsman, W.E.      145
Jardetzky, W.S.      9 186 220 294
Jeffreys, B.C      279
Jeffreys, H.      47 279
Jones, D.S.      102
Jones, R.P.N.      339
Jordan's lemma      42
Karnopp, D.C      254
Keller, H.      139 144
Kinematical condition of compatibility      142
kinetic energy      17 24 60
Kirchhoff's formula      102
Knowles, J.K.      194
Koenig, H.A.      154
Koiter, W.T.      371
Kolsky, H.      9 417
Kraut, E.A.      411
Kromm, A.      138
Kronecker delta      48
Krook, M.      42 264 272
Kurtz, E.F.      254
Lagrangian density      61
Lamb's problem, for a time-harmonic line load      289—295
Lamb's problem, for a transient line load      303—309
Lamb's problem, for a transient point load      310—321
Lamb, H.      289 294 300 303 310
Laplace transform, one-sided      268 296 303 311 330 333 347 374 381
Laplace transform, two-sided      267 296 303 365 374 381
Layer, forced harmonic motions      327—330
Layer, forced transient motions      330—344
Layer, free harmonic waves in, horizontally polarized      203—211
Layer, free harmonic waves in, plane strain      220—236
Leedham, C.D.      231
Lighthill, M.J.      212
Lindsay, R.B.      9
Line load, in an unbounded medium      107 108 156 295—303
Line load, on a half-space      289 303 359
Line load, on a layer      331—342
Linear momentum      15 51
Linearized theory, in one dimension      17
Linearized theory, of elasticity      46
Liouville's theorem      367
Longitudinal modes, of a circular cylindrical rod      242
Longitudinal modes, of a layer      226
Longitudinal waves, in a half-space      169 172—177 185
Longitudinal waves, in an unbounded medium      123 394 403
Longitudinal waves, velocity of      123
Longitudinal, strain      22 57
Longitudinal, stress      29 57
Longman, I.M.      275
Love waves      218
Love, A.E.H.      9 99 138
Lu, T, H.      388
mass density      14 21
Material derivative      13
Material description      11
McLachlan, N.W.      320
McNiven, H.D.      197 244 250
Mechanical impedance      24 28 187
Medick, M.A.      258
Meeker, T.R.      224 239 249
Meitzler, A.H.      224 236 239 249
Mellin transform      271
Mengi, Y.      197
Miklowitz, J.      9 138 318 326 343 345
Mindlin, R.D.      224 230 244 248 250 253 254 255 256 258
Mixed boundary conditions      82 173
Mixed boundary-value problems      357
MODE      32 206
Mode, antisymmetric      206 223 225 226
Mode, conversion      176
Mode, dilatational      225 226
Mode, equivoluminal      225 226
Mode, flexural      226 246
Mode, fundamental      33 341
Mode, Lame      259
Mode, longitudinal      226 242
Mode, of free vibration      32
Mode, symmetric      206 223 225 226
Mode, torsional      241
Momentum, linear      15 51
Momentum, moment of      52
Morse, P.M.      9 62
Motion      11
Mow, C.C      118 358
Musgrave, M.J.P.      410
Neidhardt, G.L.      309
Newlands, M.      283
Nigul, U.      342
Noble, B.      263
Nodal point      32
Nonlinear continuum mechanics      11
Nonlinear effects      412
Notation, for linearized theory      20
Notation, indicial      47
One-dimensional, nonlinear theory      11—20
One-dimensional, problems      57
Onoe, M.      244
overtones      33
P-wave      see “Longitudinal waves”
Pao, Y.H.      118 358
Parkus, H.      397
Particle velocity      12 31
Pearson, C.E.      42 264 272
Pekeris, C.L.      310 316
Period      31
1 2
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