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 considerable importance in a variety of applications. The book presents many of the key results in this field and interprets them from a unified engineering viewpoint. The conceptual importance and relevance for applications were the prevailing criteria in selecting the topics. Included are body and surface waves in elastic, viscoelastic, and piezoelectric media and waveguides, with emphasis on the effects of inhomogeneity and anisotropy. The book differs in many aspects from the other monographs dealing with wave propagation in solids. It focuses on physically meaningful theoretical models, a broad spectrum of which is covered, and not on mathematical techniques. Some of the results, particularly those dealing with waves in composites, are given for the first time in the monographical literature. Both, exact and approximate approaches, are discussed. While the subject is advanced, the presentation is at an intermediate level of mathematical complexity, making understanding easier.
Sprache
Verlagsort
Verlagsgruppe
Illustrationen
Dateigröße
ISBN-13
978-3-642-83370-0 (9783642833700)
DOI
10.1007/978-3-642-83370-0
Schweitzer Klassifikation
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.
