Surface Waves in Anisotropic and Laminated Bodies and Defects Detection

1. Front Matter

   Pages i-xi

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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

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).

• Wave
• algorithms
• crystal
• diffraction
• modeling
• non-destructive testing
• stability

• 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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