Elastic Waves In Solids I. Free And Guided Propagation

Applications of elastic wave phenomena are becoming ever more important in telecommunications (signal processing), medicine (echography), metallurgy (non-destructive testing) and in other fields, too. For example, millions of wave filters are currently produced each month for mobile phones. The objective of this first of two volumes is to study the different mechanisms of propagation in isotropic and anisotropic media. The main topics treated in this volume are an introduction of the main features for the simple case of fluids, tensorial expressions for the elasticity and piezoelectricity of crystals, solutions of the general equation of propagation in the form of slowness surfaces, and a study of the various types of guided waves (Rayleigh wave, Love wave, Lamb wave). The companion book, Volume II, describes the generation and applications of the free and guided waves introduced in the present volume.