Acoustics of SolidsTechnological 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. |
Contents
| 1 | |
| 6 | |
1 | 11 |
Problems | 41 |
References and additional reading | 45 |
3 | 49 |
6 | 59 |
81 | 65 |
Problems | 123 |
5 | 131 |
7 | 142 |
Problems | 169 |
Chapter V | 175 |
4 | 182 |
6 | 189 |
9 | 195 |
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Common terms and phrases
amplitude analysis anisotropic approximate attenuation body forces boundary conditions causality coefficients complex concept consider coordinates cubic system cylindrical defined deformation denotes density depends Derive differential dislocation displacement displacement vector disturbance dynamic effective elastic constants elastic waves energy equations of motion example expression frequency function given grad group velocity H(iw harmonic waves Hence homogeneous Hooke's law inclusions indicates integral invoking isotropic linear longitudinal wave Love waves material matrix medium microstructure modes modulus normal notations P-wave particle phase velocity piezoelectric plane waves polarization problem provides radiation Rayleigh waves reference frame represented respectively response scattering Section shear waves shown in Figure solids solution speed spherical static strain stress substituting superposition surface symmetry tensor theory transducer Vā vector vibrations viscoelastic volume wave equation wave front wave number wave propagation wave velocity waveguides yields įį