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 Energy velocity. - 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.