Acoustics of Solids [E-Book] / by Abraham I. Beltzer.
Technological developments in composite materials, non-destructive testing, and signal processing as well as biomedical applications, have stimulated wide-ranging engineering investigations of heterogeneous, anisotropic media and surface waves of different types. Wave propagation in solids is now of...
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Full text |
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Personal Name(s): | Beltzer, Abraham I., author |
Imprint: |
Berlin, Heidelberg :
Springer,
1988
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Physical Description: |
XI, 235p. 90 illus. online resource. |
Note: |
englisch |
ISBN: |
9783642833700 |
DOI: |
10.1007/978-3-642-83370-0 |
Subject (LOC): |
- 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.