Download or read book Theory of Elastic Wave Propagation and Its Application to Scattering Problems written by TERUMI. TOUHEI and published by . This book was released on 2024-04-02 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastic wave propagation applies widely across engineering. This presents continuum mechanics, stress and strain tensors, and the derivation of equations for elastic wave motions with Green's function. The MUSIC algorithm is used to address inverse scattering problems, and the companion website provides software with detailed solutions.
Download or read book Theory of Elastic Wave Propagation and its Application to Scattering Problems written by Terumi Touhei and published by CRC Press. This book was released on 2024-04-24 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastic wave propagation applies to a wide variety of fields, including seismology, non-destructive testing, energy resource exploration, and site characterization. New applications for elastic waves are still being discovered. Theory of Elastic Wave Propagation and its Application to Scattering Problems starts from the standpoint of continuum mechanics, explaining stress and strain tensors in terms of mathematics and physics, and showing the derivation of equations for elastic wave motions, to give readers a stronger foundation. It emphasizes the importance of Green’s function for applications of the elastic wave equation to practical engineering problems and covers elastic wave propagation in a half-space, in addition to the spectral representation of Green’s function. Finally, the MUSIC algorithm is used to address inverse scattering problems. Offers comprehensive coverage of fundamental concepts through to contemporary applications of elastic wave propagation Bridges the gap between theoretical principles and practical engineering solutions The book’s website provides the author’s software for analyzing elastic wave propagations, along with detailed answers to the problems presented, to suit graduate students across engineering and applied mathematics.
Download or read book The Theory of Elastic Waves and Waveguides written by J. Miklowitz and published by Elsevier. This book was released on 2012-12-02 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Modern Problems in Elastic Wave Propagation written by Julius Miklowitz and published by John Wiley & Sons. This book was released on 1978-10-27 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gives an up-to-date, interdisciplinary account of important research findings, covering theoretical and practical applications of elastic wave propagation. Discusses waves in a linear, homogenous, isotropic boundaries, and modern problems in wave phenomena such as diffraction, scattering, reflection, and dispersion, as well as higher order effects. Uses analytical, numerical, and experimental methods.
Download or read book Wave Propagation in Elastic Solids written by J. D. Achenbach and published by Elsevier. This book was released on 2016-01-21 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave Propagation in Elastic Solids focuses on linearized theory and perfectly elastic media. This book discusses the one-dimensional motion of an elastic continuum; linearized theory of elasticity; elastodynamic theory; and elastic waves in an unbounded medium. The plane harmonic waves in elastic half-spaces; harmonic waves in waveguides; and forced motions of a half-space are also elaborated. This text likewise covers the transient waves in layers and rods; diffraction of waves by a slit; and thermal and viscoelastic effects, and effects of anisotropy and nonlinearity. Other topics include the summary of equations in rectangular coordinates, time-harmonic plane waves, approximate theories for rods, and transient in-plane motion of a layer. This publication is a good source for students and researchers conducting work on the wave propagation in elastic solids.
Download or read book Elastic Wave Propagation written by F. McCarthy and published by Elsevier. This book was released on 2018-06-20 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 bodies. Consideration is given to propagation in bodies as diverse as stretched elastic strings to surfaces such as thin walled cylinders, and thin films under stress. Applications considered include the determination of the depth of cracks; analysis of ground motions generated by a finite fault in seismology; surface wave spreading on piezo-electric solids; and dynamical stress intensity factors. Most of the papers are theoretical in nature, and many are complemented by numerical studies. Also included are a general survey on experimental techniques, and reports on experimental work.The volume will be of interest to those who do theoretical studies of elastic wave propagation and to those who apply elastic waves whether in seismology, non-destructive testing, the fabrication of devices or underwater acoustics, etc.
Download or read book Elastic Wave Propagation and Scattering in Polycrystals written by Anubhav Roy and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polycrystalline aggregates of randomly distributed grains are associated with a fluctuating elastic stiffness. These fluctuations or heterogeneities are potential scatterers to the elastic waves propagating through the polycrystalline microstructures. The scattering within these microstructures results in the attenuation of energy and a change in the phase velocity (wavespeed) of the incident wave. The attenuation and wavespeed are measurable quantities that reveal important information about the respective microstructure. Existing theoretical models apply a first-order Keller approximation or an equivalent first-order smoothing approximation (FOSA) to predict the attenuation and wavespeed in polycrystals. This dissertation presents a theoretical framework to investigate the effects of the third-order smoothing approximation (TOSA) on the attenuation and wavespeed estimates in transversely isotropic aggregates of randomly distributed cubic grains. \par The Keller approximation-based Unified Theory model is constructed in the spatial domain applicable to the propagation of plane waves. On the other hand, the equivalent FOSA-based model in the frequency domain, free from such plane wave assumptions, directly applies to modeling the diffuse fields as it considers a truncation of the mass operator series contained in an elastodynamic Dyson equation. This truncated Dyson series provides a statistical expectation of the Green's function dyadic used to model the respective mean field propagation. However, the existing FOSA-based model involves a Born approximation that limits its application to the stochastic scattering regime characterized by a transitional domain between the low and high frequencies. In this dissertation, the FOSA-based model has been extended for the first time to provide solutions beyond the Born approximation applicable for the full range of frequencies spanning from the Rayleigh (low frequencies) to the geometric regime (high frequencies). Independently generated FOSA-based estimates of wavespeed and attenuation in common metals like aluminum, iron, and lithium show reasonable agreement with the corresponding Unified Theory estimates. \par The FOSA-based model developed in the frequency domain is extended to incorporate two additional multiple scattering terms associated with the TOSA-based truncation to the Dyson series. The effects of including the TOSA-based terms are studied for the full range of frequencies from the Rayleigh to the geometric regime. These effects are quantified as a ratio between the estimates from the current model, including TOSA, and from the corresponding FOSA-based model. For low-frequency propagation under assumptions of Rayleigh limit, closed-form solutions of attenuation and wavespeed are obtained with and without considering Born approximation. The effects of including TOSA in the low frequencies have been studied for $758$ cubic metals with different degrees of elastic heterogeneities. The study in the low frequencies confirms a correlation between higher-order scattering and the degree of heterogeneity. Attenuation estimates are more sensitive than the wavespeed estimates to higher-order scattering. Moreover, the transverse or shear waves show a stronger sensitivity to higher-order scattering at low frequencies than longitudinal waves at the same frequencies. \par Significant effects of including the TOSA-based terms are observed in the high frequencies. Analogous to the FOSA-based estimates of wavespeed dispersion, the variation of attenuation in the geometric regime is found to be dependent on the incident mode while including the TOSA-based terms. Moreover, the attenuation and wavespeed dispersion in the geometric zone reveals a strong dependence on the degree of heterogeneity while including the TOSA-based terms. Nevertheless, both for longitudinal and transverse modes of propagation, the attenuation estimates start decreasing with increasing frequencies while considering the TOSA-based model. This can be attributed to a possible gain of resonance captured by the higher-order scattering events within the microstructure for propagation of high-frequency waves. This model can be applied to different microstructures possessing elastic heterogeneities to investigate the respective higher-order scattering effects. That may generate opportunities to offer a better agreement with the experimentally measured estimates in textured or porous microstructures. Beside the attenuation and wavespeed, analogous to the existing FOSA-based model, this model offers a direct scope of extension to provide other important estimates like the intensity of the scattered waves, diffusivity, etc.
Download or read book An Introduction to Echo Analysis written by Gary Roach and published by Springer Science & Business Media. This book was released on 2009-01-08 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to scattering phenomena and a guide to the technical requirements for investigating wave scattering problems. It reviews the principal mathematical topics required for approaching wave propagation and scattering problems, and shows how to develop the required solutions. The emphasis is on concepts and results rather than on the fine detail of proof. Each chapter ends with a bibliography pointing to more detailed proofs.
Download or read book Theory of Elastic Waves written by Peijun Wei and published by Springer Nature. This book was released on 2023-01-01 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights a systematic introduction to the basic theory of elastic wave propagation in complex media. The theory of elastic waves is widely used in fields such as geophysical exploration, seismic survey, medical ultrasound imaging, nondestructive testing of materials and structures, phononic crystals, metamaterials and structure health monitoring. To help readers develop a systematic grasp of the basic theory, and thus its applications, the book elaborates on the theory of elastic wave propagation in isotropic solid media, covering phenomena in infinite media, interfaces, layered structure with finite thickness, Rayleigh wave and Love wave propagating along the surface of semi-infinite solid and covering layer, and the guided waves and leaky waves in flat plates and in cylindrical rods. The propagation patterns and features of guided waves in cylindrical shells and spherical shells are also introduced. The author wrote the book based on a decade of teaching experience of a graduate course of the same name and two decades of research on the theory and applications. The book is a valuable reference for students, researchers and professionals who expect an understandable and comprehensive discussion of the theory, analytical methods and related research results.
Download or read book Introduction to Elastic Wave Propagation written by Anthony Bedford and published by Springer Nature. This book was released on 2023-11-05 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and updated edition expands on its explanations of methods used to analyze waves in solid materials, such as the waves created by earthquakes and the ultrasonic waves used to detect flaws in materials and for medical diagnoses. In addition to the traditional methods used to analyze steady-state and transient waves in elastic materials, the book contains introductions to advanced areas that no other single text covers. These topics include the use of finite elements to solve wave problems, the Cagniard-de Hoop method, the four-pole technique for analyzing waves in layered media, and the growth and decay of shock and acceleration waves. The authors explain the theory of linear elasticity through the displacement equations of motion, methods used to analyze steady-state and transient waves in layered media, and include an appendix on functions of a complex variable. Originally developed for a graduate course for which no suitable text existed, the new edition retains its classroom-tested treatment of the theories of linear elasticity and complex variables for students needing background in those subjects.
Download or read book Wave Propagation in Elastic Solids written by Jan Achenbach and published by Elsevier. This book was released on 2012-12-02 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: The propagation of mechanical disturbances in solids is of interest in many branches of the physical scienses and engineering. This book aims to present an account of the theory of wave propagation in elastic solids. The material is arranged to present an exposition of the basic concepts of mechanical wave propagation within a one-dimensional setting and a discussion of formal aspects of elastodynamic theory in three dimensions, followed by chapters expounding on typical wave propagation phenomena, such as radiation, reflection, refraction, propagation in waveguides, and diffraction. The treatment necessarily involves considerable mathematical analysis. The pertinent mathematical techniques are, however, discussed at some length.
Download or read book Scattering and Attenuation of Seismic Waves Part II written by WU and published by Birkhäuser. This book was released on 2013-11-21 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint from Pure and Applied Geophysics (PAGEOPH), Volume 131 (1989), No. 4
Download or read book Wave Scattering in Complex Media From Theory to Applications written by Bart A. van Tiggelen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of lectures on a variety of modern subjects in wave scattering, including fundamental issues in mesoscopic physics and radiative transfer, recent hot topics such as random lasers, liquid crystals, lefthanded materials and time-reversal, as well as modern applications in imaging and communication. There is a strong emphasis on the interdisciplinary aspects of wave propagation, including light and microwaves, acoustic and elastic waves, propagating in a variety of "complex" materials (liquid crystals, media with gain, natural media, magneto-optical media, photonic and phononic materials, etc.). It addresses many different items in contemporary research: mesoscopic fluctuations, localization, radiative transfer, symmetry aspects, and time-reversal. It also discusses new (potential) applications in telecommunication, soft matter and imaging.
Download or read book Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation written by Alfredo Berm?dez and published by SIAM. This book was released on 2000-01-01 with total page 1062 pages. Available in PDF, EPUB and Kindle. Book excerpt: This conference was held in Santiago de Compostela, Spain, July 10-14, 2000. This volume contains papers presented at the conference covering a broad range of topics in theoretical and applied wave propagation in the general areas of acoustics, electromagnetism, and elasticity. Both direct and inverse problems are well represented. This volume, along with the three previous ones, presents a state-of-the-art primer for research in wave propagation. The conference is conducted by the Institut National de Recherche en Informatique et en Automatique with the cooperation of SIAM.
Download or read book The Scattering Theory of Lax and Phillips and Wave Propagation Problems of Classical Physics written by James A. LaVita and published by . This book was released on 1971 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt: P.D. Lax and R.S. Phillips have developed an abstract theory of scattering for groups of unitary operators U(t) = exp( -it Lambda) acting on a Hilbert space and have applied it to various wave propagation problems for which Lambda is a partial differential operator. The scope of these applications has been limited by the assumptions that Lambda was elliptic and had smooth coefficients. In this paper it is shown how the abstract theory of Lax and Phillips can be applied to a class of nonelliptic operators Lambda with discontinuous coefficients. Examples include the equations for acoustic, electromagnetic and elastic waves in inhomogeneous media whose properties vary discontinuously. (Author).
Download or read book Direct and Inverse Problems in Wave Propagation and Applications written by Ivan Graham and published by Walter de Gruyter. This book was released on 2013-10-14 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the third volume of three volume series recording the "Radon Special Semester 2011 on Multiscale Simulation & Analysis in Energy and the Environment" taking place in Linz, Austria, October 3-7, 2011. This book surveys recent developments in the analysis of wave propagation problems. The topics covered include aspects of the forward problem and problems in inverse problems, as well as applications in the earth sciences. Wave propagation problems are ubiquitous in environmental applications such as seismic analysis, acoustic and electromagnetic scattering. The design of efficient numerical methods for the forward problem, in which the scattered field is computed from known geometric configurations is very challenging due to the multiscale nature of the problems. Even more challenging are inverse problems where material parameters and configurations have to be determined from measurements in conjunction with the forward problem. This book contains review articles covering several state-of-the-art numerical methods for both forward and inverse problems. This collection of survey articles focusses on the efficient computation of wave propagation and scattering is a core problem in numerical mathematics, which is currently of great research interest and is central to many applications in energy and the environment. Two generic applications which resonate strongly with the central aims of the Radon Special Semester 2011 are forward wave propagation in heterogeneous media and seismic inversion for subsurface imaging. As an example of the first application, modelling of absorption and scattering of radiation by clouds, aerosol and precipitation is used as a tool for interpretation of (e.g.) solar, infrared and radar measurements, and as a component in larger weather/climate prediction models in numerical weather forecasting. As an example of the second application, inverse problems in wave propagation in heterogeneous media arise in the problem of imaging the subsurface below land or marine deposits. The book records the achievements of Workshop 3 "Wave Propagation and Scattering, Inverse Problems and Applications in Energy and the Environment". It brings together key numerical mathematicians whose interest is in the analysis and computation of wave propagation and scattering problems, and in inverse problems, together with practitioners from engineering and industry whose interest is in the applications of these core problems.
Download or read book Stochastic Wave Propagation written by K. Sobczyk and published by Elsevier. This book was released on 2012-12-02 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a concise, unified exposition of the existing methods of analysis of linear stochastic waves with particular reference to the most recent results. Both scalar and vector waves are considered. Principal attention is concentrated on wave propagation in stochastic media and wave scattering at stochastic surfaces. However, discussion extends also to various mathematical aspects of stochastic wave equations and problems of modelling stochastic media.
