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Resonance --- Elastic wave propagation. --- Trigonometric sums. --- Mathematical models.
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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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Elastic wave propagation --- Seismic waves --- Wave equation --- Mathematical models. --- Mathematical models. --- Numerical solutions.
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534.1 --- Elastic waves --- Wave motion, Theory of --- Underground nuclear explosions --- Vibration of bodies. Excitation of vibrations. Vibratory formations with distributed mass and elasticity --- Elastic wave propagation. --- Wave motion, Theory of. --- 534.1 Vibration of bodies. Excitation of vibrations. Vibratory formations with distributed mass and elasticity --- Elastic wave propagation --- #TWER:MOD --- Undulatory theory --- Mechanics --- Propagation of elastic waves --- Wave-motion, Theory of --- Propagation --- Mathematical physics --- Fluid mechanics --- Elastic waves. --- Wave-motion, Theory of. --- Ondes élastiques --- Théorie du mouvement ondulatoire --- Élasticité --- Propagation des ondes --- Vibration
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"Electromagnetic Fields in Stratified Media" deals with an important branch of electromagnetic theory, which has many useful applications in subsurface communication, radar, and geophysical prospecting and diagnostics. The book introduces to the electromagnetic theory and wave propagation in complex media, while presenting detailed models for various media: 3, 4, N-layered media, boundary conditions, and anisotropic media. In particular, the complete solutions for a trapped surface wave and lateral wave in a three- or four-layered region, the complete solutions for low frequency wave propagation over a spherical surface coated with a dielectric layer, and the transient field of a horizontal dipole in the boundary layer of two different media are presented. The book is designed for the scientists and engineers engaged in antennas and propagation, EM theory and applications. Dr. Kai Li is Professor at Zhejiang University.
Electromagnetic fields -- Mathematical models. --- Electromagnetic fields --- Electrical & Computer Engineering --- Electrical Engineering --- Engineering & Applied Sciences --- Mathematical models --- Elastic wave propagation. --- Surface wave antennas. --- Electromagnetic fields. --- Fields, Electromagnetic --- Antennas, Surface wave --- Elastic waves --- Propagation of elastic waves --- Propagation --- Engineering. --- Electronics. --- Microelectronics. --- Power electronics. --- Power Electronics, Electrical Machines and Networks. --- Electronics and Microelectronics, Instrumentation. --- Magnetic fields --- Electric fields --- Antennas (Electronics) --- Wave-motion, Theory of --- Production of electric energy or. --- Electrical engineering --- Physical sciences --- Microminiature electronic equipment --- Microminiaturization (Electronics) --- Electronics --- Microtechnology --- Semiconductors --- Miniature electronic equipment --- Electronics, Power --- Electric power
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This volume contains a timely collection of research papers on the latest developments in the ever-increasing use of elastic waves in a variety of contexts. There are reports on wave-propagation in various types of media: in both isotropic and anisotropic bodies; in homogeneous and inhomogeneous media; in media with cracks or inclusions in random media; and in layered composites.The bulk of the papers are concerned with propagation in elastic media, but also included are viscoelastic, thermoelastic and magneto-electroelastic wave propagation, as well as waves in porous and piezo-electric bodie
534.1 --- Elastic waves --- -Wave-motion, Theory of --- -Undulatory theory --- Mechanics --- Elasticity --- Waves --- Underground nuclear explosions --- Vibration of bodies. Excitation of vibrations. Vibratory formations with distributed mass and elasticity --- Congresses --- Elastic wave propagation --- Wave-motion, Theory of --- -Vibration of bodies. Excitation of vibrations. Vibratory formations with distributed mass and elasticity --- 534.1 Vibration of bodies. Excitation of vibrations. Vibratory formations with distributed mass and elasticity --- -534.1 Vibration of bodies. Excitation of vibrations. Vibratory formations with distributed mass and elasticity --- Undulatory theory --- Propagation of elastic waves --- Propagation
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This book is the first to comprehensively explore elasticity imaging and examines recent, important developments in asymptotic imaging, modeling, and analysis of deterministic and stochastic elastic wave propagation phenomena. It derives the best possible functional images for small inclusions and cracks within the context of stability and resolution, and introduces a topological derivative-based imaging framework for detecting elastic inclusions in the time-harmonic regime. For imaging extended elastic inclusions, accurate optimal control methodologies are designed and the effects of uncertainties of the geometric or physical parameters on stability and resolution properties are evaluated. In particular, the book shows how localized damage to a mechanical structure affects its dynamic characteristics, and how measured eigenparameters are linked to elastic inclusion or crack location, orientation, and size. Demonstrating a novel method for identifying, locating, and estimating inclusions and cracks in elastic structures, the book opens possibilities for a mathematical and numerical framework for elasticity imaging of nanoparticles and cellular structures.
Elasticity --- Elastic properties --- Young's modulus --- Mathematical physics --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- Mathematics. --- Properties --- Dirichlet function. --- Helmholtz decomposition theorem. --- Helmholtz decomposition. --- HelmholtzЋirchhoff identities. --- Kelvin matrix. --- Kirchhoff migration. --- Lam system. --- MUSIC algorithm. --- Neumann boundary condition. --- anisotropic elasticity. --- asymptotic expansion. --- asymptotic formula. --- asymptotic imaging. --- ball. --- boundary displacement. --- boundary perturbation. --- boundary value problem. --- boundedness. --- cellular structure. --- compressional modulus. --- crack. --- density parameter. --- direct imaging. --- discrepancy function. --- displacement field. --- displacement. --- elastic coefficient. --- elastic equation. --- elastic inclusion. --- elastic moment tensor. --- elastic structure. --- elastic wave equation. --- elastic wave propagation. --- elastic wave. --- elasticity equation. --- elasticity imaging. --- elasticity. --- ellipse. --- energy functional. --- extended inclusion. --- extended source term. --- extended target. --- far-field measurement. --- filtered quadratic misfit. --- function space. --- gradient scheme. --- hard inclusion. --- hard inclusions. --- heterogeneous shear distribution. --- high contrast coefficient. --- hole. --- imaging functional. --- inclusion. --- incompressible limit. --- internal displacement measurement. --- layer potential. --- linear elasticity. --- linear transformation. --- linearized reconstruction problem. --- measurement noise. --- medium noise. --- nanoparticle. --- nonlinear optimization problem. --- nonlinear problem. --- operator-valued function. --- optimal control. --- potential energy functional. --- pressure. --- radiation condition. --- random fluctuation. --- resolution. --- reverse-time migration. --- scalar wave equation. --- search algorithm. --- shape change. --- shape deformation. --- shape. --- shear distribution. --- shear modulus. --- shear wave. --- small crack. --- small inclusion. --- small-volume expansion. --- small-volume inclusion. --- soft inclusion. --- stability analysis. --- stability. --- static regime. --- stochastic modeling. --- time-harmonic regime. --- time-reversal imaging. --- topological derivative. --- vibration testing.
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