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Miklowitz J. Ч The theory of elastic waves and waveguides
Miklowitz J. Ч The theory of elastic waves and waveguides

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Ќазвание: The theory of elastic waves and waveguides

јвтор: Miklowitz J.

язык: en

–убрика: ‘изика/ лассическа€ физика/”пругие среды/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1978

 оличество страниц: 618

ƒобавлена в каталог: 18.06.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
$K_0(z)$ function, integral representation for      329
$K_0(z)$ function, Lapwood's integral representation for      330
Acceleration      43
Acoustics      17
Additional effects      576Ч578
Airy function      388 423 429 438
Airy function, derivatives of      437
Amplitude of P wave      121
Amplitude of SH wave      154
Amplitude of SV wave      121
Amplitude ratios      see Reflection coefficients; Transmission coefficients
Analytical continuation of functions, use of      286
Angle, critical      132 139Ч144 163Ч164
Angle, incident      120Ч121 155Ч156
Angle, reflection      120Ч131 155Ч156
Angle, refraction      157 161 165
Anharmonic overtones, infinite plate      See Modes thickness
Anisotropic media, for Lamb's problem of a transversely isotropic half space      576
Anisotropic media, for waveguides      576
Anisotropic media, recent work, surveys on      576
Anisotropic media, surfaces of      3
Anisotropic media, waves in, early work, surveys on      576
Anomalous dispersion      187
Anomalous dispersion in transient response of a plate      421
Antiplane, displacement source problem, infinite solid      363Ч364
Antiplane, displacement-potential relations of      153 154
Antiplane, gauge condition in      153
Antiplane, SH waves of      152Ч156 170Ч174
Antiplane, shear deformation      152. See also SH wave Wave
Antiplane, strain-potential relations of      154
Antiplane, stress-potential relations of      154Ч155
Antiplane, tangential surface load problem, half space      363
Antisymmetric edge load problems, plate, rod, semi-infinite      435
Antisymmetric edge load problems, plate, semi-infinite      435
Antisymmetric line loads, problem of, plate, infinite      429Ч430
Approximate theories, waveguide      See Waveguides approximate
Asymptotic expansions      250Ч277
Asymptotic expansions of integrals      255Ч277
Asymptotic expansions of integrals, integrals in      256
Asymptotic expansions of integrals, integrals in, critical points of      256
Asymptotic expansions of integrals, integrals in, Fourier      256
Asymptotic expansions of integrals, integrals in, integrand conditions of      256
Asymptotic expansions of integrals, integrals in, Laplace      256
Asymptotic expansions of integrals, methods for, Cagnard Ч deHoop technique, method in, applications of      319Ч323 438Ч443
Asymptotic expansions of integrals, methods for, Laplace's method      262Ч264
Asymptotic expansions of integrals, methods for, Laplace's method, applications of      268 325;
Asymptotic expansions of integrals, methods for, parts integration      257 261Ч262
Asymptotic expansions of integrals, methods for, parts integration, application of      251
Asymptotic expansions of integrals, methods for, stationary phase, method of      271Ч275
Asymptotic expansions of integrals, methods for, stationary phase, method of, applications of      275Ч277 387Ч388 404Ч408 423Ч424 470Ч474
Asymptotic expansions of integrals, methods for, steepest descents, method of      264Ч270
Asymptotic expansions of integrals, methods for, steepest descents, method of, applications of      323Ч328 550Ч551
Asymptotic expansions of integrals, methods for, Van der Waerden's method      270
Asymptotic expansions of integrals, methods for, Van der Waerden's, application of      270
Asymptotic expansions of integrals, methods for, Watson's lemma      257
Asymptotic expansions of integrals, methods for, Watson's lemma, applications of      260 326 327Ч328
Asymptotic expansions, nature of      251Ч252
Asymptotic expansions, Poincare's definition of      252Ч253
Asymptotic expansions, properties of      253Ч255
Asymptotic expansions, properties of, differentiation      255
Asymptotic expansions, properties of, integration      254Ч255
Asymptotic expansions, properties of, product, quotient, sum      254
Asymptotic expansions, properties of, uniqueness      253Ч254
Axially symmetric compressional waves in circular cylindrical rod      220Ч223
Axially symmetric diffraction problems for spherical cavity      565Ч567
Axially symmetric plate problems      470Ч476
Axially symmetric torsional waves in circular cylindrical rod      217Ч220
Axially symmetric torsional waves in thin plate      290
Axially symmetric vertical point load problem, half space      333Ч348
Axially symmetric waves      68 338Ч348 470Ч476
Bar velocity      222
Bernoulli Ч Euler beam (bending theory)      6 8. approximate
Bessel functions, modified      283 523Ч525 562Ч565
Bessel functions, modified, asymptotic expansions of      283
Bessel functions, modified, Hankel function relation      287
Bessel functions, ordinary, asymptotic expansion of      469
Bilateral Laplace transform      241Ч242
Bilateral Laplace transform in cylindrical cavity diffraction problem      537Ч542
Bilateral Laplace transform, properties of      242
Body force problems      78Ч94
Body force problems, center of compression in      91Ч92
Body force problems, center of rotation in      92Ч93
Body force problems, distributed source of potentials in      83Ч84
Body force problems, distributed source of potentials in, retarded potential solutions for      84 88 94
Body force problems, double forces in      91Ч93
Body force problems, early work on      4
Body force problems, general solution for displacement in      84Ч85
Body force problems, governing inhomogeneous wave equations for      80
Body force problems, line source of potentials in      85
Body force problems, line source of potentials in, solution for      86
Body force problems, point load in      86Ч91
Body force problems, point load in, dilation solution for      90
Body force problems, point load in, displacement solution for      89
Body force problems, point load in, rotation solution for      90
Body force problems, point load in, stress solution for      90
Body force problems, point load in, wavefronts, ramp input, for      90Ч91
Body force problems, point load in, waves generated by      90
Body force problems, point source of potentials, in      83Ч84
Body force problems, point source of potentials, in, solutions for      82Ч83
Body force problems, time harmonic      93
Body waves in bounded media      68Ч69
Body waves in bounded media, cylindrical wave surfaces of      69
Body waves in bounded media, generation of interface waves by      68Ч69
Body waves in bounded media, interference of      69
Body waves in bounded media, reflection and refraction of      69
Body waves, fundamental      57Ч63
Body waves, fundamental, dilatation      58
Body waves, fundamental, dilatational displacement      58
Body waves, fundamental, equivolumnal displacement      57Ч58
Body waves, fundamental, governing equations for      57Ч63
Body waves, fundamental, propagation speeds for      57Ч58
Body waves, fundamental, rotation      58
Body waves, time harmonic      69Ч70
Body waves, time harmonic, axially symmetric      70
Body waves, time harmonic, frequency of      69
Body waves, time harmonic, Helmholtz equations for      69
Body waves, time harmonic, nodal points of      70
Body waves, time harmonic, standing      70
Body waves, time harmonic, trains of      70
Body waves, time harmonic, wave number of      69
Body waves, time harmonic, wavelength of      69
Body waves, types of      63Ч68
Body waves, types of, axially symmetric      68
Body waves, types of, nonaxially symmetric      68
Body waves, types of, plane      63Ч67
Body waves, types of, spherically symmetric      67
Boundary-initial value problems fundamental      46Ч47
Boundary-initial value problems fundamental, integral representations in      94Ч96
Boundary-initial value problems fundamental, integral representations in Kirchhoff's formula      95
Boundary-initial value problems fundamental, integral representations in Love's formula      95Ч96
Boundary-initial value problems fundamental, integral transform methods in      see Integral transform methods
Boundary-initial value problems fundamental, method of characteristics in      112Ч115
Boundary-initial value problems fundamental, uniqueness of solutions of      3 47 50Ч51
Boundary-initial value problems fundamental, uniqueness of solutions of, discontinuous loadings      52
Boundary-initial value problems fundamental, uniqueness of solutions of, finite body      47 50Ч51
Boundary-initial value problems fundamental, uniqueness of solutions of, infinite anisotropic body      51
Boundary-initial value problems fundamental, uniqueness of solutions of, infinite body      51
Boundedness condition, solution, algebraic      452 461
Boundedness condition, solution, algebraic, approximation corresponding to long time      454Ч455 462
Boundedness condition, solution, for semiinfinite plate with nonmixed edge conditions      446Ч448 461Ч462
Boundedness condition, solution, integral equations representing      448
Branches of frequency equations for, plate, approximations      369 381 475
Branches of frequency equations for, plate, infinite      7. See also Rayleigh Ч Lamb frequency equation
Branches of frequency equations for, rod, approximations      7Ч8 219 368Ч369 381
Branches of frequency equations for, rod, infinite circular cylindrical      7. See also Pochhammer frequency equations
Bromwich contour      236
Bulk modulus (Modulus of compression)      41
Buried line dilatational source in half space      329Ч332
Cagniard Ч deHoop method in half plane diffraction problem      490 492Ч496 498Ч499 504Ч516
Cagniard Ч deHoop method, for nonaxymmetric, surface normal point traveling load problem      351Ч360
Cagniard Ч deHoop method, for nonaxymmetric, surface normal point traveling load problem, displacements in      357Ч360
Cagniard Ч deHoop method, for nonaxymmetric, surface normal point traveling load problem, integral equations for      356 358 359
Cagniard Ч deHoop method, for nonaxymmetric, surface normal point traveling load problem, integration paths in, deformed      353 357Ч358
Cagniard Ч deHoop method, for nonaxymmetric, surface normal point traveling load problem, Laplace transformed      355Ч356 359
Cagniard Ч deHoop method, for nonaxymmetric, surface normal point traveling load problem, principal value integrals in      359
Cagniard Ч deHoop method, for nonaxymmetric, surface normal point traveling load problem, singularities and controur integrations in      352Ч355 357Ч359
Cagniard Ч deHoop method, for nonaxymmetric, surface normal point traveling load problem, transformations in, basic      351 352 357 358Ч359
Cagniard Ч deHoop method, for nonaxymmetric, surface normal point traveling load problem, wavefront approximations in      361
Cagniard Ч deHoop method, for plane-strain problems      302Ч319 329Ч332
Cagniard Ч deHoop method, for plane-strain problems, displacements in      312Ч314
Cagniard Ч deHoop method, for plane-strain problems, integral equations for      310 312
Cagniard Ч deHoop method, for plane-strain problems, integration paths in, deformed      303Ч306 307Ч308 311
Cagniard Ч deHoop method, for plane-strain problems, Laplace transformed      307 309 310 311Ч312
Cagniard Ч deHoop method, for plane-strain problems, principal value integrals in      311
Cagniard Ч deHoop method, for plane-strain problems, singularities, contour integration in      303Ч306
Cagniard Ч deHoop method, for plane-strain problems, transformations in, basic      302 303
Cagniard Ч deHoop method, for plane-strain problems, wavefront approximations in      319Ч323
Cagniard's method, early use of      5
Calculus of variations, use of      369Ч373
Carrier wave      187
Carrier wave, modulation of      187
Carrier wave, modulation of, frequency of      187
Carrier wave, of simple wave group      187
Cauchy problems      See Initial value problem
Cauchy Ч Goursat theorem, use of      259 286
Caustic      557 559
Caustic, singular stress at      558. See also Focusing wave
Cavity source problems      277Ч290
Cavity source problems, boundary-initial value problem      278
Cavity source problems, boundary-initial value problem, displacement-potential relation      279
Cavity source problems, boundary-initial value problem, Laplace transform solution method      278Ч281
Cavity source problems, boundary-initial value problem, solution      281
Cavity source problems, boundary-initial value problem, solution, response of stresses in      282
Cavity source problems, boundary-initial value problem, solution, static      281
Cavity source problems, boundary-initial value problem, solution, verification of      181
Cavity source problems, boundary-initial value problem, solution, wavefronts of      281
Cavity source problems, boundary-initial value problem, stress-potential relation      279
Cavity source problems, circular cylindrical cavity in plate, Kromm's solution method      290
Cavity source problems, circular cylindrical cavity in plate, uniform pressure on      282Ч290
Cavity source problems, circular cylindrical cavity in plate, uniform shear stress, rotary velocity on      290
Cavity source problems, circular cylindrical cavity, decaying uniform pressure on      290
Cavity source problems, circular cylindrical cavity, uniform, boundary-initial value problem      283
Cavity source problems, circular cylindrical cavity, uniform, displacement-potential relation      284
Cavity source problems, circular cylindrical cavity, uniform, Laplace transform solution method      283Ч287
Cavity source problems, circular cylindrical cavity, uniform, Laplace transform solution method, singularities, contour integration in      284Ч287
Cavity source problems, circular cylindrical cavity, uniform, pressure in      282Ч290
Cavity source problems, circular cylindrical cavity, uniform, solution      286Ч287
Cavity source problems, circular cylindrical cavity, uniform, solution by method of characteristics      290
Cavity source problems, circular cylindrical cavity, uniform, solution, static      289
Cavity source problems, circular cylindrical cavity, uniform, solution, stress responses in      287
Cavity source problems, circular cylindrical cavity, uniform, solution, verification of      288
Cavity source problems, circular cylindrical cavity, uniform, solution, wavefronts in      289Ч290
Cavity source problems, circular cylindrical cavity, uniform, stress-potential relations      284
Cavity source problems, spherical cavity, nonsymmetric sources      282
Cavity source problems, spherical cavity, uniform pressure on      277Ч282
Center of compression      91
Center of rotation      92
Characteristic length      1
Characteristics      75
Characteristics, method of      107Ч115
Characteristics, method of, for one-dimensional problems      107Ч115
Characteristics, method of, for one-dimensional problems, boundary-initial value problems, numerical method      112Ч115
Characteristics, method of, for one-dimensional problems, characteristic condition in      109
Characteristics, method of, for one-dimensional problems, characteristic directions in      109
Characteristics, method of, for one-dimensional problems, first hyperbolic theorem, initial values, numerical method      110Ч112
Characteristics, method of, for one-dimensional problems, second hyperbolic theorem, initial values, numerical method      112
Characteristics, method of, for one-dimensional problems, uniqueness of solution      112
Characteristics, method of, for one-dimensional problems, use of      290
Characteristics, method of, for two-dimensional problems      115
Characteristics, theory of      17. See also Wavefronts; propagating
Coefficients of reflection      123
Coefficients of transmission      160
Completeness of Lame solution      3 61Ч62 116
Composite materials, waves in, monographs on      577
Compressional waves in a thin circular cylindrical rod, approximate theories for      367Ч369 371Ч374 392Ч393
Compressional waves in a thin circular cylindrical rod, longitudinal impact, generated by      388Ч389 393
Compressional waves in a thin plate with circular cylindrical cavity, cavity wall pressure, generated by      287
Compressional waves in an infinite plate with circular cylindrical cavity, cavity wall normal displacement, generated by      474
Compressional waves in an infinite semi-infinite circular cylindrical rod, end load, generated by      466
Compressional waves in an infinite semi-infinite circular cylindrical rod, frequency equations for      221
Compressional waves in an infinite semi-infinite circular cylindrical rod, frequency spectra for      208Ч209 222
Compressional waves in an infinite semi-infinite circular cylindrical rod, motion generated by      222Ч223
Compressional waves in an infinite semi-infinite circular cylindrical rod, potential modes for      221
Compressional waves in an infinite semi-infinite circular cylindrical rod, shock tube excitation of      390Ч393 437
Compressional waves in an infinite solid generated by cavity pressure sources, circular cylindrical      287
Compressional waves in an infinite solid generated by cavity pressure sources, spherical      282
Compressional waves in an infinite, semi-infinite plate, cylindrical dilatational, equivolumnal wave surfaces in      179Ч180 210
Compressional waves in an infinite, semi-infinite plate, frequency equations for      183 197
Compressional waves in an infinite, semi-infinite plate, frequency equations for, branches of      197Ч201
Compressional waves in an infinite, semi-infinite plate, frequency spectra for      185 198 202
Compressional waves in an infinite, semi-infinite plate, longitudinal impact, generated by      436Ч437
Compressional waves in an infinite, semi-infinite plate, mixed edge pressure, generated by      436Ч437
Compressional waves in an infinite, semi-infinite plate, near base normal line loads, cantilever, generated by      465
Compressional waves in an infinite, semi-infinite plate, nonmixed edge line load, generated by      463Ч465
Compressional waves in an infinite, semi-infinite plate, nonmixed edge pressure, generated by      455Ч457
Compressional waves in an infinite, semi-infinite plate, nonmixed edge velocities, generated by      465Ч466
Compressional waves in an infinite, semi-infinite plate, normal line loads, generated by      420Ч422
Compressional waves in an infinite, semi-infinite plate, normal point loads, generated by      470Ч472
Compressional waves in an infinite, semi-infinite plate, P, SV waves in      178Ч180
Compressional waves in an infinite, semi-infinite plate, phase velocity spectra for      185
Compressional waves in an infinite, semi-infinite plate, thermal field, generated by      475Ч477
Compressional waves in an infinite, semi-infinite plate, thickness modes in      185
Conical flows, Buseman's method of      517. See also Self-similar solutions
Conical, waves      358 360Ч361
Convolution theorem of exponential Fourier tranform      245
Convolution theorem of Laplace transform      239
Convolution theorem, use of      313 541Ч542
Coordinates, cylindrical      68
Coordinates, rectangular Cartesian      19 42
Coordinates, spherical      67
Cusp-type wavefronts in anisotropic plates      443
Cutoff frequencies for plate, with mixed face conditions      188
Cutoff frequencies for plate, with mixed face conditions, group velocities at      189
Cutoff frequencies for plate, with mixed face conditions, P, SV waves at      189
Cutoff frequencies for plate, with mixed face conditions, phase velocities at      189
Cutoff frequencies for plate, with traction free faces      203Ч204
Cutoff waves, influence of in transient response of a plate      420 475Ч477
Cylindrical shell, circular, time harmonic waves in      226
Cylindrical waves, circular      68 70 77Ч78 286Ч289
Cylindrical waves, in diffraction      485Ч487 494Ч495 515Ч517
Cylindrical waves, in half space      314 316 319 331Ч332
Cylindrical waves, in plates      69 180Ч186 188Ч214 420Ч422 440Ч443 456Ч457 464Ч465
D'Alembert's principle      43 375
D'Alembert's solution for one-dimensional initial value problem      63Ч64
Deformation      30Ч38
Deformation and motion, description of Eulerian (spatial)      19
Deformation and motion, description of Lagrangian (material)      19Ч20
Deformation, finite      31
Deformation, infinitesimal      32
Deformation, pure      34 35Ч36
Delta functions, Dirac      80Ч82 240
Delta functions, Dirac, derivatives of      81
Delta functions, Dirac, for cartesian coordinates      81
Delta functions, Dirac, for spherical coordinates      81Ч82
Delta functions, Dirac, Laplace transform of      241
Delta functions, Dirac, symmetrical      300
Diffraction problems, elastic pulse by circular cylindrical obstacle      517Ч560
Diffraction problems, elastic pulse by circular cylindrical obstacle, Friedlander's representation of solution      520Ч521
Diffraction problems, elastic pulse by circular cylindrical obstacle, Friedlander's representation of solution, Poisson's summation formula      520Ч521
Diffraction problems, elastic pulse by circular cylindrical obstacle, Friedlander's representation of solution, Riemann surface in      0; interpreted as 521
Diffraction problems, elastic pulse by circular cylindrical obstacle, Friedlander's representation of solution, wave sum in      521
Diffraction problems, elastic pulse by circular cylindrical obstacle, Friedlander's representation of solution, waveform of function in      521
Diffraction problems, elastic pulse by circular cylindrical obstacle, line source by circular cylindrical cavity      518Ч536
Diffraction problems, elastic pulse by circular cylindrical obstacle, line source by circular cylindrical cavity, diffracted wavefront, ray      518Ч519
Diffraction problems, elastic pulse by circular cylindrical obstacle, line source by circular cylindrical cavity, illuminated zone      518Ч519
Diffraction problems, elastic pulse by circular cylindrical obstacle, line source by circular cylindrical cavity, incident wavefront, ray      518
Diffraction problems, elastic pulse by circular cylindrical obstacle, line source by circular cylindrical cavity, limiting cases of      519Ч520
Diffraction problems, elastic pulse by circular cylindrical obstacle, line source by circular cylindrical cavity, reflected wavefront, ray      518
Diffraction problems, elastic pulse by circular cylindrical obstacle, line source by circular cylindrical cavity, shadow zone      518
Diffraction problems, elastic pulse by circular cylindrical obstacle, line source by circular cylindrical cavity, source of diffracted wavefront      519
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