Acoustics of Solids [E-Book] / by Abraham I. Beltzer.
Beltzer, Abraham I., (author)
Berlin, Heidelberg : Springer, 1988
XI, 235p. 90 illus. online resource.
englisch
9783642833700
10.1007/978-3-642-83370-0
Full Text
Table of Contents:
  • 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.