Table of Contents
1 Cover
4 Preface
6 1 Propagation in an Unbounded Solid 1.1. Reviewing the mechanics of continuous media 1.2. Isotropic solid 1.3. Anisotropic solid 1.4. Piezoelectric solid 1.5. Viscoelastic media
7 2 Reflection and Transmission at an Interface 2.1. Boundary conditions 2.2. Direction and polarization of reflected and transmitted waves 2.3. Isotropic solid: transverse horizontal wave 2.4. Isotropic media: longitudinal and transverse vertical waves 2.5. Anisotropic medium: diffraction matrix
8 3 Surface Waves and Interface Waves 3.1. Surface waves 3.2. Interface waves 3.3. Bleustein–Gulyaev wave
9 4 Guided Elastic Waves 4.1. Waveguide, group velocity 4.2. Transverse horizontal waves 4.3. Lamb waves 4.4. Cylindrical guides
10 Appendix 1 Differential Operators in Cylindrical and Spherical Coordinates
11 Appendix 2 Symmetry and Tensors
12 Appendix 3 Transport of Energy
13 References
14 Index
List of Illustrations
1 Chapter 1Figure 1.1. Equilibrium of a fixed volume V inside the solidFigure 1.2. Three stresses act on each of the three orthogonal faces. From the p...Figure 1.3. At any point M marked by the vector <u>x</u>, the vibration created ...Figure 1.4. a) Longitudinal wave: polarization and wave vector are parallel. At ...Figure 1.5. Cylindrical waves: a) longitudinal and b) transverseFigure 1.6. Composite made up of carbon fibers embedded in a thermoset epoxy res...Figure 1.7. In general, three plane waves propagate in any direction <u>n</u> of...Figure 1.8. The propagation direction n is defined by the angles θ and ϕFigure 1.9. Propagation in the symmetry plane XY of an orthotropic solid. The qu...Figure 1.10. The projection of the energy velocity vector <u>V</u>e on the propa...Figure 1.11. Characteristic surfaces: a) Slowness surface: the energy velocity <...Figure 1.12. Section of the wave surface. A change in curvature of the slowness ...Figure 1.13. a) Slowness surface (s/km) and b) wave surface for a copper crystal...Figure 1.14. Cross-section of (a) the slowness surface and (b) the wave surface ...Figure 1.15. 3D slowness surface of quasi-longitudinal and quasi-transverse wave...Figure 1.16. Slowness curves (s/km) in the XY plane for bismuth germanium oxide....Figure 1.17. Cross-section of the slowness surface of lithium niobate (class 3m)...Figure 1.18. Electromechanical coupling coefficients KL and KT as functions of t...Figure 1.19. Maxwell model. The real and imaginary components of an elastic modu...Figure 1.20. Imaginary component of the shear modulus of a polymer as a function...
2 Chapter 2Figure 2.1. If the density of the force p exerted on the surface Σ is zer...Figure 2.2. Snell–Descartes law. The projections, on the interface between the t...Figure 2.3. Interface between two isotropic solids. The incident transverse vert...Figure 2.4. Isotropic solid: Reflection of an incident wave that is a) transvers...Figure 2.5. Diagram of the successive echoes in the plateFigure 2.6. Evolution of the moduli of the reflection (r) and transmission (t) c...Figure 2.7. Moduli of the reflection coefficients a) rLL and b) rLT as functions...Figure 2.8. Slowness curves for a free surface and an incident transverse vertic...Figure 2.9. Moduli of reflection coefficients a) rTT and b) rTL versus the angle...Figure 2.10. Intensity reflection coefficients RLL and RLT and intensity transmi...Figure 2.11. Slowness curves for a solid–fluid interface and an incident transve...Figure 2.12. Intensity reflection coefficients RTL and RTT and intensity transmi...Figure 2.13. Reflection and transmission at a liquid–solid interface. a) Intensi...Figure 2.14. Plate with parallel faces of thickness h immersed in a fluidFigure 2.15. a) Velocity and b) attenuation of longitudinal waves measured in a ...Figure 2.16. Depending on the medium from which it comes, the amplitude of the i...Figure 2.17. Solid with monoclinic symmetry (binary axis parallel to Ox2). Polar...Figure 2.18. a) Slowness curves of the reflected and transmitted waves generated...
3 Chapter 3Figure 3.1. Disposition of the axesFigure 3.2. Variation of the Rayleigh wave velocity VR with the ratio of the bul...Figure 3.3. a) Displacement and b) stresses of the Rayleigh wave in the depth of...Figure 3.4. Rayleigh wave: a) Deformation of the material as the wave passes thr...Figure 3.5. Evolution of parameters E, I1 and I2