Ebook: Surface Waves in Anisotropic and Laminated Bodies and Defects Detection

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).

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Content:
Front Matter....Pages i-xi
On the Role of Anisotropy in Crystalloacoustics....Pages 3-68
Surface Waves of Non-Rayleigh Type....Pages 69-78
Nonlinearity in Elastic Surface Waves Acts Nonlocally....Pages 79-94
Explicit Secular Equations for Surface Waves in an Anisotropic Elastic Half-Space from Rayleigh to Today....Pages 95-116
“Nongeometrical Phenomena” in Propagation of Elastic Surface Waves....Pages 119-129
Complex Rays and Internal Diffraction at the Cusp Edge....Pages 131-142
Edge Waves in the Fluid Beneath an Elastic Sheet with Linear Nonhomogeneity....Pages 143-157
On Continuum Modelling of Wave Propagation in Layered Medium; Bending Waves....Pages 159-171
Edge Localised Bending Waves in Anisotropic Media: Energy and Dispersion....Pages 173-186
Surface Electromagnetic Perturbations Induced by Unsteady-State Subsurface Flow....Pages 189-204
Resonant Waves in a Structured Elastic Halfspace....Pages 205-215
Numerical Analysis of Rayleigh Waves in Anisotropic Media....Pages 217-226
Guided Waves in Anisotropic Media: Applications....Pages 227-240
A General Purpose Computer Model for Calculating Elastic Waveguide Properties, with Application to Non-Destructive Testing....Pages 241-256
The Influence of the Initial Stresses on the Dynamic Instability of an Anisotropic Cone....Pages 257-270
Embedding Theorem and Mutual Relation for the Interface and Shear Wavespeeds....Pages 271-276
The Non-Uniqueness of Constant Velocity Crack Propagation....Pages 279-288
Embedding Formulae for Planar Cracks....Pages 289-299
Wave Propogation and Crack Detection in Layered Structures....Pages 301-315
Back Matter....Pages 317-321

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Content:
Front Matter....Pages i-xi
On the Role of Anisotropy in Crystalloacoustics....Pages 3-68
Surface Waves of Non-Rayleigh Type....Pages 69-78
Nonlinearity in Elastic Surface Waves Acts Nonlocally....Pages 79-94
Explicit Secular Equations for Surface Waves in an Anisotropic Elastic Half-Space from Rayleigh to Today....Pages 95-116
“Nongeometrical Phenomena” in Propagation of Elastic Surface Waves....Pages 119-129
Complex Rays and Internal Diffraction at the Cusp Edge....Pages 131-142
Edge Waves in the Fluid Beneath an Elastic Sheet with Linear Nonhomogeneity....Pages 143-157
On Continuum Modelling of Wave Propagation in Layered Medium; Bending Waves....Pages 159-171
Edge Localised Bending Waves in Anisotropic Media: Energy and Dispersion....Pages 173-186
Surface Electromagnetic Perturbations Induced by Unsteady-State Subsurface Flow....Pages 189-204
Resonant Waves in a Structured Elastic Halfspace....Pages 205-215
Numerical Analysis of Rayleigh Waves in Anisotropic Media....Pages 217-226
Guided Waves in Anisotropic Media: Applications....Pages 227-240
A General Purpose Computer Model for Calculating Elastic Waveguide Properties, with Application to Non-Destructive Testing....Pages 241-256
The Influence of the Initial Stresses on the Dynamic Instability of an Anisotropic Cone....Pages 257-270
Embedding Theorem and Mutual Relation for the Interface and Shear Wavespeeds....Pages 271-276
The Non-Uniqueness of Constant Velocity Crack Propagation....Pages 279-288
Embedding Formulae for Planar Cracks....Pages 289-299
Wave Propogation and Crack Detection in Layered Structures....Pages 301-315
Back Matter....Pages 317-321
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