Acoustics of Solids

I Elements of Material Structure and Solid Dynamics.- 1.1 Dynamic response of solids.- 1.2 Structure of materials.- 1.3 Continuum and microstructure.- 1.4 Deformations.- 1.5 Stresses.- 1.6 Conservation laws.- 1.7 Hooke's law.- 1.8 Absorption and viscoelasticity.- 1.9 Piezoelectricity and other coupled phenomena.- 1.10 Variational theorems.- 1.11 Wave front and wave classification.- 1.12 Conditions across discontinuity.- 1.13 Characteristics and hyperbolicity.- 1.14 Energy flux.- 1.15 Basic concepts of waves. Debye's frequency.- 1.16 Group and signal velocities.- 1.17 Causality and general relations for linear systems.- Problems.- References and additional reading.- II Bulk Waves in Isotropic Media.- 2.1 Modes and velocities of elastic waves.- 2.2 Vector representation and wave potentials.- 2.3 Wave motion in curvilinear coordinates and separability.- 2.4 Plane waves.- 2.5 Cylindrical waves.- 2.6 Spherical waves.- 2.7 Radiation from a cylindrical cavity.- 2.8 Radiation from a rigid embedded cylinder. Radiation damping.- 2.9 Radiation from a spherical cavity. Remarks on radiation conditions.- 2.10 Radiation from a rigid embedded sphere. Imperfect bonding.- 2.11 Multipoles, resonances, and related considerations.- 2.12 Green's dynamic tensor.- 2.13 Energy transport in harmonic waves.- 2.14 Viscoelastic waves. Spatial and temporal attenuation.- 2.15 Viscoelastic pulse propagation. Wavefront velocity.- 2.16 Radiation from a moving dislocation.- 2.17 Creation of a dislocation dipole. Non-uniform motion.- 2.18 Limitations of the linear theory. Shock waves.- Problems.- References and additional reading.- III Bulk Waves in Anisotropie Media.- 3.1 Plane waves.- 3.2 Effects of symmetry.- 3.3 Pure modes in cubic systems.- 3.4 General modes in cubic systems.- 3.5 Energyvelocity.- 3.6 Waves in piezoelectric media.- 3.7 Quasi-electrostatic approximation of piezoelectricity.- 3.8 Modes in a piezoelectric cubic system.- 3.9 Bulk wave piezoelectric transducer.- 3.10 Generation of harmonic waves. Resonators.- 3.11 Improved analysis of resonators.- 3.12 Characteristic surfaces.- Problems.- References and additional reading.- IV Boundary Effects and Waveguides.- 4.1 Reflection and mode conversion at free boundary.- 4.2 Reflection at interface. Impedance matching.- 4.3 Rayleigh waves in isotropic half-space.- 4.4 Rayleigh waves in anisotropic half-space.- 4.5 Love waves.- 4.6 Interdigital transducer.- 4.7 Waves in a plate. Cut-off frequencies.- 4.8 Frequency spectrum of a plate.- 4.9 Torsional waves in a cylinder.- 4.10 Longitudinal waves in a cylinder.- 4.11 Flexural waves in a cylinder.- 4.12 Timoshenko beam theory.- 4.13 Mindlin plate theory.- 4.14 Normal modes of waveguides.- 4.15 Forced motions via modal superpositions.- 4.16 Acoustic emission in a rod.- 4.17 Radiation from a moving load.- Problems.- References and additional reading.- V Wave-Obstacle Interactions. Waves in Composites.- 5.1 Wave-obstacle interactions.- 5.2 Dynamic stress concentrations.- 5.3 Scattering cross-sections.- 5.4 Diffraction by a sphere.- 5.5 Response of random composites.- 5.6 Effective scatterer approach.- 5.7 Composite sphere assemblage.- 5.8 A differential scheme.- 5.9 Response of polycrystals.- 5.10 Rigorous definitions of the effective response.- 5.11 Bounds for static moduli.- 5.12 Wave propagation in random composites.- 5.13 Causal approach of independent scatterers.- 5.14 Causal differential media.- 5.15 Waves in fiber composites. Typical dispersion curves.- 5.16 Waves in ordered systems. Atomic lattice.- 5.17 Waves in layered composites.- Problems.- References and additional reading.- Comments on Selected Problems.- References.- Author Index.