Acoustics of solids
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.
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Elements of Material Structure
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amplitude analysis anisotropic anisotropic media applied approximate associated attenuation behavior Beltzer body forces boundary conditions cavity coefficients complex composite sphere consider coordinates cubic system cylindrical defined deformations denote density dependence Derive differential dislocation dispersion relation displacement displacement vector disturbance dynamic effective elastic constants elastic moduli elastic waves equations of motion example expression field frequency function group velocity half-space harmonic waves Hence homogeneous Hooke,s law incident inclusion integral invoking isotropic linear longitudinal longitudinal wave Love waves matrix medium microstructure modes moduli normal obtain P-wave phase velocity plane waves polarization problem propagation direction provides radiation radiation damping random Rayleigh waves reference frame represented respectively response scattering shear waves shown in Figure shows solids solution speed spherical static strain stress substituting surface symmetry tensor theory tion transducer vector vibrations viscoelastic wave equation wave front wave number wave potentials wave propagation wave velocity waveguides yields