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Eringen A.C., Suhubi E.S. — Elastodynamics (vol. 2) Linear theory
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Название: Elastodynamics (vol. 2) Linear theoryАвторы: Eringen A.C., Suhubi E.S. Аннотация: This present volume (Volume II) of "Elastodynamics" is devoted to an
Язык: Рубрика: Физика /Классическая физика /Упругие среды /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1975Количество страниц: 673Добавлена в каталог: 17.06.2005Операции: Положить на полку |
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Plane harmonic waves, irrotational 506 Plane harmonic waves, longitudinal 505 Plane harmonic waves, P-wave 506 Plane harmonic waves, S-wave 507 Plane harmonic waves, SH-wave 507 Plane harmonic waves, SV-wave 507 Plane harmonic waves, transverse, or shear 506 Plane motion 413 Plane waves in half-space 508—525 Plane waves in half-space, reflection at a plane surface 510 511 Plane waves in half-space, reflection at a plane surface, critical reflection 517 Plane waves in half-space, reflection at a plane surface, grazing incidence 513 Plane waves in half-space, reflection at a plane surface, incident P-wave 512 Plane waves in half-space, reflection at a plane surface, incident SV-wave 515 Plane waves in half-space, reflection at a plane surface, normal incidence 513 Plane waves in half-space, reflection at a plane surface, reflection coefficients 513 Plane waves in half-space, reflection at a plane surface, total reflection 524 Plane waves in half-space, surface waves 518 Pochhammer — Chree problem 773 Poisson material 516 522 540 750 847 910 Poisson solution for initial-value problem 376 Progressive elastic waves 969 Progressive elastic waves, reflection 972 Prolate spheroidal coordinates 727 Quasistatic solution 440 Radiation conditions of elastodynamics 414 416 420 Radiation conditions, Rellich 381 Radiation conditions, Sommerfeld 380 385 389 390 736 Radii of curvature, principal 958 971 Ray 957 970 Rayleigh equation 519 528 540 657 Rayleigh function 612 Rayleigh waves 518 528 Rayleigh waves, amplitudes for stresses and displacements 522 Rayleigh waves, velocity of propagation 521 708 Reciprocal theorem of elastodynamics 367 368 673 674 723 Reciprocal theorem of wave equation 370 373 Reduced elastodynamic equations 431—437 Reduced elastodynamic equations, integral representations 434 435 Reduced elastodynamic equations, Lame potentials 433 Reduced elastodynamic equations, radiation conditions 436 Reduced elastodynamic equations, reciprocal theorem 432 Reduced elastodynamic equations, Somigliana potential 433 Reduced elastodynamic equations, wave numbers 433 Reduced wave equation 385 Reduced wave equation, integral representations, three-dimensional 387 Reduced wave equation, integral representations, two-dimensional 387 Reduced wave equation, radiation conditions 389 477 Refraction and reflection at an interface of P-waves and SV-waves 536—539 Refraction and reflection at an interface of SH-waves 532 533 Refraction and reflection at an interface of SH-waves, critical incidence 534 Refraction and reflection at an interface of SH-waves, total reflection 534 Refractive index 533 Regular region 365 368 372 381 Retarded value 374 Riemann convolution 354 Riemann convolution, properties of 354 Rotation 348 Saltus problem 879 Scattered energy 893 Scattering 863 Scattering cross section 895 Scattering of elastic waves 864—869 Scattering of oblique plane waves from circular cylinder 906 Scattering of P-waves from circular cylinder 898 Scattering of P-waves from circular cylinder, cavity 899 Scattering of P-waves from circular cylinder, cavity stress concentration 900 Scattering of P-waves from circular cylinder, rigid cylinder 901 Scattering of P-waves from elliptic cylinder 929 Scattering of P-waves from elliptic cylinder, fixed-rigid cylinder 931 Scattering of P-waves from sphere 912 916 Scattering of P-waves from sphere, cavity 914 Scattering of P-waves from sphere, cavity stress concentration 915 Scattering of P-waves from sphere, rigid sphere 914 Scattering of plane pulses from circular cylinder 908 Scattering of plane pulses from circular cylinder, stress concentration 909 911 Scattering of plane waves from sphere 911 Scattering of SH-waves from circular cylinder 889 Scattering of SH-waves from circular cylinder, cavity 891 Scattering of SH-waves from circular cylinder, elastic cylinder 891 Scattering of SH-waves from circular cylinder, radiation field 896—898 Scattering of SH-waves from circular cylinder, rigid cylinder 869 891 Scattering of SH-waves from circular cylinder, scattered energy 894 Scattering of SH-waves from circular cylinder, scattering cross section 895 Scattering of SH-waves from circular cylinder, stress concentration 892 Scattering of SH-waves from elliptic cylinder 925 Scattering of SH-waves from elliptic cylinder, cavity 928 Scattering of SH-waves from elliptic cylinder, rigid fixed cylinder 927 Scattering of SH-waves from elliptic cylinder, stress concentration 928 Scattering of SV-waves from circular cylinder 903 Scattering of SV-waves from circular cylinder, cavity 903 Scattering of SV-waves from circular cylinder, rigid inclusion 904 Scattering of SV-waves from elliptic cylinder 929 Scattering of SV-waves from elliptic cylinder, rigid-fixed cylinder 932 Scattering of waves of arbitrary shape from sphere 917 Sectionally analytic function 594 Self-similar solutions, axisymmetric problems 760—772 Self-similar solutions, axisymmetric problems, associated plane problem 763 764 Self-similar solutions, axisymmetric problems, generation of axisymmetric field 762 Self-similar solutions, axisymmetric problems, uniformly expanding load 768 Self-similar solutions, plane problems 600—644 Self-similar solutions, plane problems in half space 611—614 Self-similar solutions, plane problems in half space, concentrated load moving with constant speed 628 Self-similar solutions, plane problems in half space, concentrated load with increasing magnitude 627 Self-similar solutions, plane problems in half space, Lamb's problem 614 Self-similar solutions, plane problems in half space, potentials 612 Self-similar solutions, plane problems in half space, uniformly expanding load 626 Self-similar solutions, plane problems, Chaplygin transformation 601 Self-similar solutions, plane problems, characteristics 602 605 Self-similar solutions, plane problems, displacements 606 607 Self-similar solutions, plane problems, displacements, fictitious 609 Self-similar solutions, plane problems, indenting wedge 629 Self-similar solutions, plane problems, indenting wedge, contact speed 641 Self-similar solutions, plane problems, indenting wedge, contact stresses 642 Self-similar solutions, plane problems, indenting wedge, driving force 643 Self-similar solutions, plane problems, indenting wedge, subsonic indentation 632 Self-similar solutions, plane problems, indenting wedge, supersonic indentation 639 Self-similar solutions, plane problems, indenting wedge, transonic indentation, first 636 Self-similar solutions, plane problems, indenting wedge, transonic indentation, second 637 Self-similar solutions, plane problems, stresses 606—608 Self-similar solutions, plane problems, stresses, fictitious 609 Simple wave region 603 605 Single-layer distribution 377 407 Singular integral equation 937 Skin effect 524 Snell'sLaw 511 512 533 Somigliana potential 354 355 Somigliana potential, completeness of 354 Source function 369 Sphere problem, displacements 806 809 Sphere problem, equilibrium equations 838 Sphere problem, free vibrations 812 Sphere problem, free vibrations, spheroidal oscillations 813 Sphere problem, free vibrations, spheroidal oscillations, displacement modes 827 Sphere problem, free vibrations, spheroidal oscillations, frequencies 818—823 Sphere problem, free vibrations, surface waves 830 Sphere problem, free vibrations, surface waves, dispersion curve 832 Sphere problem, free vibrations, torsional oscillations 813 Sphere problem, free vibrations, torsional oscillations, displacement modes 824 Sphere problem, free vibrations, torsional oscillations, frequencies 814—817 823 Sphere problem, harmonic solutions 807 Sphere problem, Helmholtz potentials 805 808 Sphere problem, incompressible 850 Sphere problem, incompressible, displacements 853 854 859 Sphere problem, incompressible, frequencies 856 Sphere problem, incompressible, stresses 853—855 860 861 Sphere problem, stresses 806 807 809 810 Sphere problem, surface tractions 833 Sphere problem, surface tractions, concentrated loads 835 836 Sphere problem, surface tractions, impact loads 839 Sphere problem, surface tractions, moving loads 837 838 Sphere problem, surface tractions, uniform tractions 835 836 Sphere problem, torsion 840 Sphere problem, torsion, displacements 843—845 Sphere problem, under polar tractions 845 Sphere problem, under polar tractions, displacements 846 Spherical Bessel function 809 811 Spherical cavity, subject to dynamical pressure 475 Spherical cavity, subject to dynamical pressure, impulsive pressure 480 Spherical cavity, subject to dynamical pressure, suddenly applied pressure 481 Spherical cavity, subject to dynamical pressure, uniform pulsating load 480 Spherical waves 474 Spheroidal wave functions 729 736 Spheroidal wave functions, angular functions 729 Spheroidal wave functions, asymptotic values 736 Spheroidal wave functions, radial functions 729 Stationarary potential energy 450 Stationary phase approximation 554 Steady-state solution 386 Steepest descent approximation 383 886 887 940 942 Stokes problem 390 Stokes state 397 Stokes state of quiescent past 397—399 Stokes tensor 395 Stoneley waves 539 Strain energy density 363 Strain tensor 345 Strain tensor in orthogonal coordinates 719 Stress concentration factor 892 Stress intensity factor 929 952 953 Stress tensor 345 Support of a function 349 363 Surface line impulse 673 Surface line load 674 Surface line load, displacement field 676 Surface line load, stress field 685 Surface twist 735—741 Surface waves 518 524—530 622 830 Surface waves, axisymmetric 530 Three-dimensional motions 717 Total energy density 556 Transient motion in half-space, due to, buried line impulse 665 Transient motion in half-space, due to, buried pressure source 652 Transient motion in half-space, due to, surface line load 674 Transient solution 386 503 Translation identity 397 Transport equations 957 970 Two-dimensional motions 500 Two-dimensional motions, fundamental equations 503 Two-dimensional motions, Lame potentials 503 Uniformly moving line load on half-space 574—584 Uniformly moving line load on half-space, subsonic case 574 Uniformly moving line load on half-space, supersonic case 582 Uniformly moving line load on half-space, transonic case 578 Uniqueness theorem of elastodynamics 360 367 Unit step function 374 382 Variational principles 442—453 Wave equation, conservation law 380 Wave equation, diffusion 383 Wave equation, energy identity 380 Wave equation, fundamental singular solution 371 Wave equation, Green's function in infinite region 372 374 Wave equation, integral representation, three-dimensional 373 Wave equation, integral representation, two-dimensional 381 Wave equation, local energy 381 Wave equation, local energy, flux 381 Wave equation, method of descent 383 Wave equation, radiation condition 380 381 Wave equation, radiation condition, two-dimensional 385 Wave front 957 wave number 386 505 512 555 Wave number surface 556 Wave packet 554 555 wave velocity 348 Wave velocity, equivoluminal 348 Wave velocity, irrotational 348 Waves in infinite plates 558—565 Waves in infinite plates, antisymmetric waves 562 Waves in infinite plates, antisymmetric waves, group velocity 563 Waves in infinite plates, antisymmetric waves, long-wave limit 562 Waves in infinite plates, antisymmetric waves, phase velocity 563 Waves in infinite plates, antisymmetric waves, short-wave limit 562 Waves in infinite plates, Rayleigh — Lamb frequency equation 560 Waves in infinite plates, Rayleigh — Lamb frequency equation, complex roots 563 564 Waves in infinite plates, Symmetric waves 560 Waves in infinite plates, Symmetric waves, group velocity 562 Waves in infinite plates, Symmetric waves, long-wave limit 561 Waves in infinite plates, Symmetric waves, phase velocity 562 Waves in infinite plates, Symmetric waves, short-wave limit 561
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