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This book presents the main results of extensive research on the diffraction, radiation and propagation of elastic waves in isotropic and anisotropic media and bodies of various shapes based on integral equations, the separation of variables, the method of Green's functions, the method of finite elements, and the method of boundary elements. It explores the application of methods and equations of the theory of diffraction to the problems of synthesis of hydroacoustic antennas, and considers the spatial characteristics of loudspeakers. The book also provides a detailed description of the acoustic monitoring of oil products in different volumes.
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The primary objective of this book is to give the reader a basic understanding of waves and their propagation in a linear elastic continuum. The studies of elastodynamic theory and its application to fundamental value problems should prepare the reader to tackle many physical problems of general interest in engineering and geophysics, and of particular interest in mechanics and seismology.
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Wave propagation and scattering are among the most fundamental processes that we use to comprehend the world around us. While these processes are often very complex, one way to begin to understand them is to study wave propagation in the linear approximation. This is a book describing such propagation using, as a context, the equations of elasticity. Two unifying themes are used. The first is that an understanding of plane wave interactions is fundamental to understanding more complex wave interactions. The second is that waves are best understood in an asymptotic approximation where they are free of the complications of their excitation and are governed primarily by their propagation environments. The topics covered include reflection, refraction, the propagation of interfacial waves, integral representations, radiation and diffraction, and propagation in closed and open waveguides. Linear Elastic Waves is an advanced level textbook directed at applied mathematicians, seismologists, and engineers.
Elastic waves. --- Elasticity --- Waves --- Underground nuclear explosions
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Aeroelasticity. --- Mathematical modelling. --- Aerodynamics --- Elastic waves --- Elasticity
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Elastic waves. --- Elasticity --- Waves --- Underground nuclear explosions
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Seismology has complementary observational and theoretical components, and a thorough understanding of the observations requires a sound theoretical background. This book bridges the gap between introductory textbooks and advanced monographs by providing the necessary mathematical tools and demonstrating how to apply them. Each seismological problem is carefully formulated and its solution is derived in a step-by-step approach. The text includes student exercises (with hints), for which solutions are available on a dedicated website. This website also contains numerous downloadable programs for the computation of reflection and transmission coefficients, for the generation of P and S wave radiation patterns and synthetic seismograms, in infinite media. This book will therefore find a receptive audience among advanced undergraduate and graduate students interested in developing a solid mathematical background to tackle more advanced topics in seismology. It will also form a useful reference volume for researchers wishing to brush up on the fundamentals.
Elastic waves. --- Elastic wave propagation --- Geology --- Earth & Environmental Sciences --- Dynamic & Structural Geology --- Elastic waves --- Propagation of elastic waves --- Wave-motion, Theory of --- Propagation --- Elastic wave propagation.
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The importance of seismic wave research lies not only in our ability to understand and predict earthquakes and tsunamis, it also reveals information on the Earth's composition and features in much the same way as it led to the discovery of Mohorovicic's discontinuity. As our theoretical understanding of the physics behind seismic waves has grown, physical and numerical modeling have greatly advanced and now augment applied seismology for better prediction and engineering practices. This has led to some novel applications such as using artificially-induced shocks for exploration of the Earth's subsurface and seismic stimulation for increasing the productivity of oil wells. This book demonstrates the latest techniques and advances in seismic wave analysis from theoretical approach, data acquisition and interpretation, to analyses and numerical simulations, as well as research applications. A review process was conducted in cooperation with sincere support by Drs. Hiroshi Takenaka, Yoshio Murai, Jun Matsushima, and Genti Toyokuni.
Seismic waves. --- Waves, Seismic --- Elastic waves --- Volcanology & seismology
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Soil dynamics --- Seismic waves --- Earthquake engineering --- Waves, Seismic --- Elastic waves
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Seismology --- Seismic waves --- Data processing. --- Waves, Seismic --- Elastic waves
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