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Surface Waves in Anisotropic and Laminated Bodies and Defects Detection

  • Conference proceedings
  • © 2005

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Editors:
  1. Robert V. Goldstein

    1. Institute for Problems in Mechanics, Moscow, Russia

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    You can also search for this editor in PubMed   Google Scholar

  2. Gerard A. Maugin

    1. Modélisation en Mécanique, Université Pierre et Marie Curie, Paris, France

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry (NAII, volume 163)

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Table of contents (19 papers)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Theoretical problems concerning propagation of surface wave in elastic anisotropic media

    1. On the Role of Anisotropy in Crystalloacoustics

      • V. I. Alshits
      Pages 3-68

    2. Surface Waves of Non-Rayleigh Type

      • Sergey V. Kuznetsov
      Pages 69-78

    3. Nonlinearity in Elastic Surface Waves Acts Nonlocally

      • D. F. Parker
      Pages 79-94

    4. Explicit Secular Equations for Surface Waves in an Anisotropic Elastic Half-Space from Rayleigh to Today

      • T. C. T. Ting
      Pages 95-116

  3. Bending and edge waves in plates and shells

    1. “Nongeometrical Phenomena” in Propagation of Elastic Surface Waves

      • V. M. Babich, A. P. Kiselev
      Pages 119-129

    2. Complex Rays and Internal Diffraction at the Cusp Edge

      • M. Deschamps, O. Poncelet
      Pages 131-142

    3. Edge Waves in the Fluid Beneath an Elastic Sheet with Linear Nonhomogeneity

      • R. V. Goldstein, A. V. Marchenko
      Pages 143-157

    4. On Continuum Modelling of Wave Propagation in Layered Medium; Bending Waves

      • K. B. Ustinov
      Pages 159-171

    5. Edge Localised Bending Waves in Anisotropic Media: Energy and Dispersion

      • D. D. Zakharov
      Pages 173-186

  4. Experimental, numerical and semi-analytical methods for analysis of surface waves

    1. Surface Electromagnetic Perturbations Induced by Unsteady-State Subsurface Flow

      • P. M. Adler, V. M. Entov
      Pages 189-204

    2. Resonant Waves in a Structured Elastic Halfspace

      • M. V. Ayzenberg-Stepanenko
      Pages 205-215

    3. Numerical Analysis of Rayleigh Waves in Anisotropic Media

      • A. V. Kaptsov, S. V. Kuznetsov
      Pages 217-226

    4. Guided Waves in Anisotropic Media: Applications

      • R. A. Kline
      Pages 227-240

    5. A General Purpose Computer Model for Calculating Elastic Waveguide Properties, with Application to Non-Destructive Testing

      • M. J. S. Lowe, P. Cawley, B. N. Pavlakovic
      Pages 241-256

    6. The Influence of the Initial Stresses on the Dynamic Instability of an Anisotropic Cone

      • Y. A. Rossikhin, M. V. Shitikova
      Pages 257-270

    7. Embedding Theorem and Mutual Relation for the Interface and Shear Wavespeeds

      • I. V. Simonov
      Pages 271-276

  5. Applications of surface waves to analysis of fracture and damage

    1. The Non-Uniqueness of Constant Velocity Crack Propagation

      • K. B. Broberg
      Pages 279-288

    2. Embedding Formulae for Planar Cracks

      • R. V. Craster, A. V. Shanin
      Pages 289-299

    3. Wave Propogation and Crack Detection in Layered Structures

      • E. V. Glushkov, N. V. Glushkova, A. V. Ekhlakov
      Pages 301-315
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Keywords

About this book

Among the variety of wave motions one can single out surface wave pr- agation since these surface waves often adjust the features of the energy transfer in the continuum (system), its deformation and fracture. Predicted by Rayleigh in 1885, surface waves represent waves localized in the vicinity ofextendedboundaries(surfaces)of?uidsorelasticmedia. Intheidealcase of an isotropic elastic half-space while the Rayleigh waves propagate along the surface, the wave amplitude (displacement) in the transverse direction exponentially decays with increasing distance away from the surface. As a resulttheenergyofsurfaceperturbationsislocalizedbytheRayleighwaves within a relatively narrow layer beneath the surface. It is this property of the surface waves that leads to the resonance phenomena that accompany the motion of the perturbation sources (like surface loads) with velocities close to the Rayleigh one; (see e. g. , R. V. Goldstein. Rayleigh waves and resonance phenomena in elastic bodies. Journal of Applied Mathematics and Mechanics (PMM), 1965, v. 29, N 3, pp. 608-619). It is essential to note that resonance phenomena are also inherent to the elastic medium in the case where initially there are no free (unloaded) surfaces. However, they occur as a result of an external action accompanied by the violation of the continuity of certain physical quantities, e. g. , by crack nucleation and dynamic propagation. Note that the aforementioned resonance phenomena are related to the nature of the surface waves as homogeneous solutions (eigenfunctions) of the dynamic elasticity equations for a half-space (i. e. nonzero solutions at vanishing boundary conditions).

Editors and Affiliations

  • Institute for Problems in Mechanics, Moscow, Russia

    Robert V. Goldstein

  • Modélisation en Mécanique, Université Pierre et Marie Curie, Paris, France

    Gerard A. Maugin

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