Авторизация
Поиск по указателям
Eringen A.C., Suhubi E.S. — Elastodynamics (vol. 2) Linear theory
Обсудите книгу на научном форуме Нашли опечатку?
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 |
Скопировать ссылку для форума | Скопировать ID
Предметный указатель
Abel integral equation 764 Absolute temperature 345 Adjoint operator 646 Admissible displacement field 451 Admissible state 444 Admissible stress field 452 Amplitude function 957 Analytic continuation 587 593 Antiplane motion 413 Antiplane motion of a slab 690 Antiplane motion of a slab of a finite slab 692 Antiplane motion of a slab of a semi-infinite slab 692 Associated Legendre functions 730 808 811 Associated Legendre functions, orthogonality 812 Asymptotic solutions for elastic waves 969 Asymptotic solutions for scalar wave equation 956 Asymptotic solutions for scalar wave equation, cylindrical waves 959 Asymptotic solutions for scalar wave equation, diffraction from a half-plane 966 Asymptotic solutions for scalar wave equation, diffraction from a half-plane, cylindrical waves 966 Asymptotic solutions for scalar wave equation, spherical waves 967 Asymptotic solutions from a parabolic cylinder 960 Asymptotic solutions from a screen 962 Asymptotic solutions from a slit 967 Balance of momenta 344 Balance of momenta in orthogonal coordinates 718 Beltrami — Michell compatibility equations 356 Bessel equation 693 Bessel functions 388 493 694 775 Bicharacteristics 970 Bilinear concomitant 646 Body force 345 boundary conditions 346 347 443 Bromwich contour 651 Buried line impulse 665 Buried line impulse, displacements 666 Buried line impulse, jump conditions 665 666 Buried line impulse, surface displacements 672 Buried pressure source 652 Buried pressure source, surface displacements 663 664 Cagniard — de Hoop method 651 656 668 874 Carrier wave 551 Caustic 958 Caustic, points 958 Chaplygin transformation 601 Characteristic equation 970 Characteristic equation, surface 970 Characteristics 459 602 605 Circular cavity, dynamic pressure 490 Circular cavity, plane motion, dynamic tractions 708 Circular cavity, plane motion, dynamic tractions, concentrated loads 711 Circular cavity, plane motion, dynamic tractions, moving loads 711 713 Circular cavity, plane motion, dynamic tractions, periodic moving loads 712 Circular cavity, plane motion, dynamic tractions, uniform tractions 710 711 Circular cylinder problem, displacements 774 776 Circular cylinder problem, flexural oscillations 785 Circular cylinder problem, flexural oscillations, cross-sectional distortions 789 Circular cylinder problem, flexural oscillations, group velocity 787 788 Circular cylinder problem, flexural oscillations, phase velocity 787 788 Circular cylinder problem, harmonic solutions 774 Circular cylinder problem, Helmholtz potentials 773 776 Circular cylinder problem, hollow cylinders 792 Circular cylinder problem, hollow cylinders, frequencies 794 796—801 Circular cylinder problem, hollow cylinders, Lame modes 795 796 Circular cylinder problem, longitudinal oscillations 780 Circular cylinder problem, longitudinal oscillations, group velocity 784 Circular cylinder problem, longitudinal oscillations, phase velocity 783 Circular cylinder problem, plane motion 693 Circular cylinder problem, plane motion, displacements 694 Circular cylinder problem, plane motion, dynamic tractions 700 Circular cylinder problem, plane motion, dynamic tractions, concentrated loads 703 704 Circular cylinder problem, plane motion, dynamic tractions, displacements 701 Circular cylinder problem, plane motion, dynamic tractions, moving loads 704 706 Circular cylinder problem, plane motion, dynamic tractions, periodic moving loads 705 Circular cylinder problem, plane motion, dynamic tractions, stresses 701 Circular cylinder problem, plane motion, dynamic tractions, uniform tractions 703 Circular cylinder problem, plane motion, free vibrations 696 Circular cylinder problem, plane motion, free vibrations, axisymmetric oscillations 696 Circular cylinder problem, plane motion, free vibrations, extensional axisymmetric oscillations 697 Circular cylinder problem, plane motion, free vibrations, nonaxisymmetric oscillations 699 Circular cylinder problem, plane motion, free vibrations, shear vibrations 698 Circular cylinder problem, plane motion, harmonic waves 693 Circular cylinder problem, plane motion, Lam6 potentials 693 Circular cylinder problem, plane motion, stresses 695 Circular cylinder problem, stresses 774 777 Circular cylinder problem, surface tractions 802 Circular cylinder problem, thickness shear vibrations 791 Circular cylinder problem, thickness shear vibrations, frequencies 791 792 Circular cylinder problem, torsional oscillations 779 Circular cylinder problem, torsional oscillations, group velocity 781 Circular cylinder problem, torsional oscillations, phase velocity 781 Classical energy identity 365 Compatibility conditions 345 Complex potentials, uniformly moving sources 568 571 Complex potentials, uniformly moving sources, singular solution 571 572 Complex variables 565 567 Conservation of energy 344 Conservation of mass 344 Constitutive equations 345 443 Convoluted forms of field equations, displacement formulation 359 Convoluted forms of field equations, stress formulation 359 443 Cylinder functions 694 Cylindrical waves 488 Cylindrical waves, initial-value problem 496 D'Alembert solution 457 458 Delta distribution 370 371 382 Diffraction 863 Diffraction coefficient 966 Diffraction of elastic waves 864—869 Diffraction of elastic waves, displacement boundary values 868 Diffraction of elastic waves, traction boundary values 868 Diffraction of P-waves from a finite crack 944 Diffraction of P-waves from a finite crack, normal incidence 951 Diffraction of P-waves from a finite crack, numerical results 953—955 Diffraction of P-waves from a finite crack, radiation field 955 Diffraction of P-waves from a rigid half-plane 880 Diffraction of P-waves from a rigid strip 932 939 Diffraction of SH-waves from a finite crack 952 Diffraction of SH-waves from a finite crack, numerical results 953—955 Diffraction of SH-waves from a rigid half-plane 870 Diffraction of SH-waves from a rigid strip 941 Diffraction of SH-waves from a semi-infinite crack 877 Diffraction of SV-waves from a finite crack 944 Diffraction of SV-waves from a rigid strip 932 941 Diffusion 383 492 Dilatation 348 dispersion 550 Dispersion, anomalous 552 Dispersion, normal 552 Dispersion, relation 551 Displacement vector 345 Double layer distribution 378 407 Dual integral equations 936 942 947 Dynamical admissible stress field 452 Eiconal equation 957 Eigenfunction expansions 437—442 Eigenfunction expansions, eigenfunctions 438 Eigenfunction expansions, eigenfunctions, completeness of 440 Eigenfunction expansions, eigenfunctions, orthonormality of 439 Eigenfunctions for cylindrical domains 492 Eigenfunctions for finite strips 468 Eigenfunctions for spherical domains 484 Elastodynamic state 361 363 365 437 Elastodynamic state of quiescent past 361 363 673 674 Elastodynamic state, addition 362 Elastodynamic state, convolution 362 Elastodynamic state, equality 362 Elastodynamic state, multiplication by scalars 362 Elliptic coordinates 920 Elliptic coordinates, wave equation in 920 Elliptic equation 567 601 Elliptic integrals 685 750 Energy flux vector 557 Energy propagation velocity 556—558 Entire function 632 769 Entropy density 345 Equivoluminal displacements 354 719 Field equations 346 Finite line source 727—734 Finite line source, Lame potentials 731 732 Finite strip, boundary-value problem 470 Finite strip, eigenfunctions 468 Finite strip, initial-value problem 467 468 Formulation of boundary-value problems 421—430 Formulation of boundary-value problems, Green's function 425—430 Formulation of boundary-value problems, Green's function for first problem 426 Formulation of boundary-value problems, Green's function for second problem 429 Formulation of boundary-value problems, Green's function, fundamental 427 428 430 Formulation of boundary-value problems, integral equations 421—425 Formulation of boundary-value problems, integral equations, first problem 423 Formulation of boundary-value problems, integral equations, second problem 424 Fourier kernel 645 Fourier transform 476 652 654 665 687 701 708 Fourier — Legendre expansion 834 837 845 Fredholm integral equation 936 942 948 Frenet equations 963 frequency 385 Frequency, fundamental 469 Fundamental singular solution of elastodynamics 390 394 395 Fundamental singular solution of elastodynamics, dynamic doublet state 401—403 Fundamental singular solution of elastodynamics, stress field 396 397 Fundamental singular solution of wave equation 371 Galerkin solution of elastostatics 355 Generalized energy identity 362 Generalized plane motion 455 Generalized Rayleigh waves 539 547 Generalized Rayleigh waves, group velocity 550 Generalized Rayleigh waves, phase velocity 550 Green's function in infinite region of elastodynamics 400 Green's function in infinite region of elastodynamics, two-dimensional 412 Green's function in infinite region of wave equation 372 374 Green's function in infinite region of wave equation, symmetry 372 Green's state, first kind 425 Green's state, second kind 428 Group velocity 551 552 557 558 Hamilton's principle 556 Hankel function 387 388 491 694 775 Hankel function, asymptotic values 390 775 Hankel transform 497 Harmonics 469 Head wave 581 603 620 Heat source density 345 Helmholtz equation 386 Helmholtz potentials 722 742 Helmholtz resolution theorem 348 349 719 Hilbert problem 594 596 Homogeneous function 600 Hooke's law 345 719 Huygens's principle 378 Hyperbolic equation 567 601 Hyperelliptic integral 638 Infinite slab 687 Infinite slab, antisymmetric normal loading 689 Infinite slab, symmetric normal loading 689 Initial conditions 346 443 Integral representation theorems of elastodynamics for displacements 404 406 Integral representation theorems of elastodynamics for stresses 409 Integral representation theorems of elastodynamics, two-dimensional 410 411 Integral representation theorems of wave equation 372 373 381 Integral transform methods in elastodynamics 649 Integral transform methods in elastodynamics, Fourier transforms 649 Integral transform methods in elastodynamics, Fourier transforms of stresses and displacements 650 Integral transform methods in elastodynamics, Fourier — Laplace transforms 651 Integral transforms 645 Integral transforms, Fourier 647 Integral transforms, Fourier cosine and sine 647 Integral transforms, Hankel 648 Integral transforms, Hilbert 648 Integral transforms, Kantorovich — Lebedev 648 Integral transforms, kernel of 645 Integral transforms, Laplace 647 Integral transforms, Laplace, two-sided 647 Integral transforms, Mellin 648 Internal energy density 345 Irrotational displacements 354 719 Jacobian 958 965 Jump conditions 344 Kinematically admissible displacement field 451 Kinematically admissible state 444 Kirchhoff integral representation 376 383 Lagrange equations 556 Lagrangian 556 Lamb's problem, axisymmetric 741—752 Lamb's problem, axisymmetric, displacements 747 749 Lamb's problem, axisymmetric, moving-point load 752 Lamb's problem, plane 614—626 652 Lamb's problem, plane, displacement field 615—617 621 Lamb's problem, plane, stress field 623 624 626 Lame potentials 348 353 355 503 693 Lame potentials, completeness of 350 Landau notation 380 Laplace transform 653 665 687 691 731 742 872 877 881 Laplace transform, convolution theorem 660 Laplace transform, two-sided 873 877 Laplacian 348 Laplacian in orthogonal coordinates 721 Longitudinal waves in half-space 462—467 Love waves 542 Love waves, cut-off frequency 543 Love waves, group velocity 544 545 Love waves, phase velocity 545 Love's integral identity 404 Mach angle 581 Mach line 581 603 Mach numbers 567 591 Mach numbers, subsonic 567 Mach numbers, supersonic 567 Mach numbers, transonic 567 Mach wave 581 mass density 345 Material moduli 345 Mathieu equation 921 Mathieu equation, characteristic values 921 Mathieu equation, modified 921 Mathieu functions 922 Mathieu functions, modified 923 mixed boundary-value problem 347 Modified Bessel functions 654 Modulated wave 551 Modulation 551 Monochromatic excitation 385 Moving Griffith crack 584—591 Moving Griffith crack, stressed at the tip 589 Moving load in infinite space 723—726 Moving punch 591—600 Moving punch, circular 597 Moving punch, rectangular 599 Natural frequency 438 Navier's equations 347 719 Navier's equations, solution in orthogonal coordinates 719—722 Neuber — Papkovich representation 356 Oblate spheroidal coordinates 735 One-dimensional motions 455 Phase function 555 957 phase velocity 551 Physical components 718 Piecewise regular function 445 Plane harmonic waves 504 505 Plane harmonic waves, dilatation 506 Plane harmonic waves, distortion 506 Plane harmonic waves, equivoluminal 506
Реклама
|
|
О проекте