Elastic Waves in Solids, Volume 2

Tony Valier-Brasier is a lecturer at the Jean Le Rond d’Alembert Institute at Sorbonne University in Paris, France. His research focuses on the propagation of elastic waves in multiple scattering media, as well as on guided waves. Daniel Royer is a visiting professor at the Institut Langevin (Ondes et Images) in Paris, France. His research focuses on the propagation of guided elastic waves and their generation and detection by optical methods.

• Preface viiList of Main Symbols xiChapter 1. Radiation of Elastic Waves 11.1. Acoustic radiation in a fluid 11.1.1. Integral formulation of the Helmholtz equation 31.1.2. Rayleigh integral 51.1.3. Rayleigh–Sommerfeld integral 81.1.4. Harmonic case 81.1.5. Impulse diffraction 201.2. Generation of elastic waves by a surface source 321.2.1. Solid with orthotropic symmetry 341.2.2. Far field 361.2.3. Generation in a plate 481.3. Radiation of elementary spherical sources 521.3.1. Pulsating sphere 531.3.2. Oscillating sphere with a rotational motion 541.3.3. Oscillating sphere with a translational motion 55Chapter 2. Scattering of Elastic Waves 592.1. Acoustic scattering by an immersed cylinder 632.1.1. Scattering by a rigid cylinder 652.1.2. Scattering by an elastic cylinder 682.1.3. Circumferential waves 712.2. Scattering of elastic waves by a cylinder 732.3. Scattering of elastic waves by a spherical particle 772.3.1. General formulation of the problem 772.3.2. Scattering of a longitudinal plane wave 782.3.3. Scattering of a transverse plane wave 852.4. Scattering by a set of particles 922.4.1. Scalar theory of multiple scattering 932.4.2. Velocity and attenuation of coherent waves 100Chapter 3. Generation and Detection 1053.1. Piezoelectric transducer for bulk waves 1063.1.1. Materials and structures 1063.1.2. One-dimensional model, equivalent circuits 1103.1.3. Frequency and impulse responses – emitted power 1173.1.4. Electrical impedance, efficiency 1223.2. Piezoelectric transducer for surface waves 1253.2.1. Operating principle 1263.2.2. Impulse response model 1323.2.3. Three-port circuit (hexapole): scattering matrix 1393.2.4. Coupled modes method 1433.3. Generation by laser impact 1543.3.1. Thermoelastic regime 1563.3.2. Ablation regime 1663.4. Optical measurement of mechanical displacements 1693.4.1. Non-interferometric methods 1693.4.2. Interferometric methods 1723.4.3. Doppler velocimetry 1773.4.4. Picosecond acoustics 181Appendix 1 185Appendix 2 195References 201Index 207