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Elastic Wave Scattering From Bounded Media With Random Microstructures
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Book Synopsis Elastic Wave Scattering from Bounded Media with Random Microstructures by : Yuan Zhang
Download or read book Elastic Wave Scattering from Bounded Media with Random Microstructures written by Yuan Zhang and published by . This book was released on 1995 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: A first-order Born approximation is utilized to solve the direct and inverse scattering problems of bounded infinite media with random microstructures. The inhomogeneities of the media properties due to their microstructures are assumed to be small. Relatively simple relations are obtained between the mean-square incoherently singly-scattered signal intensities and the spectral density functions of the media inhomogeneities. These simple formulas can be applied straightforwardly to the nondestructive characterization of material microstructures. Special cases of scattering from an infinite random fluid layer, a flat solid plate and a solid half-space immersed in fluid are studied in the present work. The analyses are valid for materials with random microstructures in general, but our interest here is in polycrystalline materials and detailed analytical and numerical results are given for cubic crystal aggregates. Although the first Born single-scattering approximation is not valid for infinite media in general, we find that it can be applied to some cases, such as those studied here, with satisfaction. It is proved that the validity of the first Born approximation is guaranteed for infinite-layer scattering problems as long as the thickness of the layer is small. As for the case of surface wave scattering from a solid half-space, the applicability of the first Born approximation is evident from the fact that leaky surface wave propagation is a very localized phenomenon. Resonances can occur in the cases investigated here when measuring the scattered signal near some incoherent directions. Due to resonant phenomena one can achieve relatively strong incoherently scattered signals which are otherwise very weak.
Book Synopsis Leaky Rayleigh Wave Scattering from Elastic Media with Random Microstructures by : Yuan Zhang
Download or read book Leaky Rayleigh Wave Scattering from Elastic Media with Random Microstructures written by Yuan Zhang and published by . This book was released on 1994 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Wave Propagation and Scattering in Random Media by : Akira Ishimaru
Download or read book Wave Propagation and Scattering in Random Media written by Akira Ishimaru and published by Elsevier. This book was released on 2013-06-11 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave Propagation and Scattering in Random Media, Volume 1: Single Scattering and Transport Theory presents the fundamental formulations of wave propagation and scattering in random media in a unified and systematic manner, as well as useful approximation techniques applicable to a variety of different situations. The emphasis is on single scattering theory and transport theory. The reader is introduced to the fundamental concepts and useful results of the statistical wave propagation theory. This volume is comprised of 13 chapters, organized around three themes: waves in random scatterers, waves in random continua, and rough surface scattering. The first part deals with the scattering and propagation of waves in a tenuous distribution of scatterers, using the single scattering theory and its slight extension to explain the fundamentals of wave fluctuations in random media without undue mathematical complexities. Many practical problems of wave propagation and scattering in the atmosphere, oceans, and other random media are discussed. The second part examines transport theory, also known as the theory of radiative transfer, and includes chapters on wave propagation in random particles, isotropic scattering, and the plane-parallel problem. This monograph is intended for engineers and scientists interested in optical, acoustic, and microwave propagation and scattering in atmospheres, oceans, and biological media.
Book Synopsis Wave Scattering in Complex Media: From Theory to Applications by : Bart A. van Tiggelen
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.
Book Synopsis Scattering and Localization of Classical Waves in Random Media by : Ping Sheng
Download or read book Scattering and Localization of Classical Waves in Random Media written by Ping Sheng and published by World Scientific. This book was released on 1990 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past decade has witnessed breakthroughs in the understanding of the wave localization phenomena and its implications for wave multiple scattering in inhomogeneous media. This book brings together review articles written by noted researchers in this field in a tutorial manner so as to give the readers a coherent picture of its status. It would be valuable both as an up-to-date reference for active researchers as well as a readable source for students looking to gain an understanding of the latest results.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1973 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elastic Media with Microstructure I by : I. A. Kunin
Download or read book Elastic Media with Microstructure I written by I. A. Kunin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crystals and polycrystals,composites and polymers, grids and multibar systems can be considered as examples of media with microstructure. A characteristic feature of all such models is the existence of scale parameters which are connected with micro geometry or long-range interacting forces. As a result the corresponding theory must essentially be a nonlocal one. The book is devoted to a systematic investigation of effects of microstructure, inner degrees of freedom and nonlocality in elastic media. The propagation of linear and nonlinear waves in dispersive media, static problems, and the theory of defects are considered in detail. Much attention is paid to approximate models and limiting tran sitions to classical elasticity. The book can be considered as a revised and updated edition of the author's book under the same title published in Russian in 1975. The frrst volume presents a self-con tained theory of one-dimensional models. The theory of three-dimensional models will be considered in a forthcoming volume. The author would like to thank H. Lotsch and H. Zorsky who read the manuscript and offered many suggestions.
Book Synopsis Multiple Scattering of Waves in Random Media and Random Rough Surfaces by : V. V. Varadan
Download or read book Multiple Scattering of Waves in Random Media and Random Rough Surfaces written by V. V. Varadan and published by Technomic Publishing Company. This book was released on 1987 with total page 974 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elastic Wave Scattering by an Inclusion in Multilayered Media Submerged in Fluid by : Ramdass Keshavamurthy
Download or read book Elastic Wave Scattering by an Inclusion in Multilayered Media Submerged in Fluid written by Ramdass Keshavamurthy and published by . This book was released on 1992 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Acousto-Ultrasonics written by J. Duke and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finding and slzmg cracks and other crack-like discontinuities has been the center of attention for scientists and engineers developing and using nondestructive evaluation (NDE) technology. However, with advanced mate rials being "engineered" and used in critical structural components, a new for NDE has emerged. Whereas many traditional engineering materi challenge als fail due to the initiation and self-similar propagation of a crack, reinforced composite materials degrade and fail in a manner more analogously to the collapse of a structure. Consequently the NDE of such materials involves assessing the combined effect of the material's damaged condition rather than identifying and sizing single critical imperfection. In 1979 Alex Vary, seeking to address the challenge confronting the NDE of advanced fiber reinforced composite materials began work on a new method of materials characterization. Focusing on the problem of evaluating graphite fiber reinforcedl epoxy laminated plates; Vary used a piezoelectric transducer to excite a mechanical disturbance in a plate and, with a sensi tive piezoelectric transducer monitored the disturbance on the same surface of the plate. (Placing the transducers on the same surface was primarily for practical purpose but their displacement in the direction of anticipated service load was of fundamental significance!) To quantify this observation, he counted the number of excursions, of the resulting electrical signal, above a arbitrary voltage threshold; a procedure frequently used for acoustic emission signal analysis.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1997 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elastic Wave Propagation in Random Media by : Christopher N. Layman
Download or read book Elastic Wave Propagation in Random Media written by Christopher N. Layman and published by . This book was released on 2007 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elastic Wave Scattering from Randomly Rough Surfaces by : Fan Shi
Download or read book Elastic Wave Scattering from Randomly Rough Surfaces written by Fan Shi and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elastic Wave Propagation and Scattering in Polycrystals by : Anubhav Roy
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.
Book Synopsis Wave Scattering in Random Layered Media by : Jongchul Park
Download or read book Wave Scattering in Random Layered Media written by Jongchul Park and published by . This book was released on 2010 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Handbook of Research on Recent Developments in Electrical and Mechanical Engineering by : Zbitou, Jamal
Download or read book Handbook of Research on Recent Developments in Electrical and Mechanical Engineering written by Zbitou, Jamal and published by IGI Global. This book was released on 2019-09-27 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Technological advancements continue to enhance the field of engineering and have led to progress in branches that include electrical and mechanical engineering. These technologies have allowed for more sophisticated circuits and components while also advancing renewable energy initiatives. With increased growth in these fields, there is a need for a collection of research that details the variety of works being studied in our globalized world. The Handbook of Research on Recent Developments in Electrical and Mechanical Engineering is a pivotal reference source that discusses the latest advancements in these engineering fields. Featuring research on topics such as materials manufacturing, microwave photons, and wireless power transfer, this book is ideally designed for graduate students, researchers, engineers, manufacturing managers, and academicians seeking coverage on the works and experiences achieved in electrical and mechanical engineering.
