Theory Of Elastic Wave Propagation And Its Application To Scattering Problems

Author : TERUMI. TOUHEI
Publisher : Unknown
Page : 0 pages
File Size : 41,9 Mb
Release : 2024-04-02
Category : Electronic
ISBN : 1032170778

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Theory of Elastic Wave Propagation and Its Application to Scattering Problems by TERUMI. TOUHEI Pdf

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.

Author : J. Miklowitz
Publisher : Elsevier
Page : 635 pages
File Size : 46,5 Mb
Release : 2012-12-02
Category : Technology & Engineering
ISBN : 9780080984049

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The Theory of Elastic Waves and Waveguides by J. Miklowitz Pdf

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.

Author : Terumi Touhei
Publisher : CRC Press
Page : 284 pages
File Size : 42,5 Mb
Release : 2024-04-24
Category : Technology & Engineering
ISBN : 9781040010273

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Theory of Elastic Wave Propagation and its Application to Scattering Problems by Terumi Touhei Pdf

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.

Author : Julius Miklowitz,J. D. Achenbach,International Union of Theoretical and Applied Mechanics
Publisher : John Wiley & Sons
Page : 584 pages
File Size : 43,5 Mb
Release : 1978-10-27
Category : Science
ISBN : UCAL:B4406515

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Modern Problems in Elastic Wave Propagation by Julius Miklowitz,J. D. Achenbach,International Union of Theoretical and Applied Mechanics Pdf

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.

Author : J. D. Achenbach
Publisher : Elsevier
Page : 440 pages
File Size : 49,6 Mb
Release : 2016-01-21
Category : Science
ISBN : 9781483163734

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Wave Propagation in Elastic Solids by J. D. Achenbach Pdf

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.

Author : Anthony Bedford,Douglas S. Drumheller
Publisher : Springer Nature
Page : 388 pages
File Size : 54,7 Mb
Release : 2023-11-05
Category : Technology & Engineering
ISBN : 9783031328756

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Introduction to Elastic Wave Propagation by Anthony Bedford,Douglas S. Drumheller Pdf

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.

Author : Jan Achenbach
Publisher : Elsevier
Page : 440 pages
File Size : 55,5 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780080934716

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Wave Propagation in Elastic Solids by Jan Achenbach Pdf

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.

Author : Gary Roach
Publisher : Springer Science & Business Media
Page : 323 pages
File Size : 41,7 Mb
Release : 2009-01-08
Category : Science
ISBN : 9781846288524

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An Introduction to Echo Analysis by Gary Roach Pdf

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.

Author : Bart A. van Tiggelen,Sergey E. Skipetrov
Publisher : Springer Science & Business Media
Page : 637 pages
File Size : 43,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9789401002271

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Wave Scattering in Complex Media: From Theory to Applications by Bart A. van Tiggelen,Sergey E. Skipetrov Pdf

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.

Author : V.K. Varadan
Publisher : Elsevier
Page : 535 pages
File Size : 40,7 Mb
Release : 2013-10-22
Category : Technology & Engineering
ISBN : 9781483290782

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Low and High Frequency Asymptotics by V.K. Varadan Pdf

This volume focuses on asymptotic methods in the low and high frequency limits for the solution of scattering and propagation problems. Each chapter is pedagogical in nature, starting with the basic foundations and ending with practical applications. For example, using the Geometrical Theory of Diffraction, the canonical problem of edge diffraction is first solved and then used in solving the problem of diffraction by a finite crack. In recent times, the crack problem has been of much interest for its applications to Non-Destructive Evaluation (NDE) of flaws in structural materials.

Author : Anonim
Publisher : Unknown
Page : 736 pages
File Size : 40,5 Mb
Release : 1969
Category : Mechanics, Applied
ISBN : UCAL:C2682429

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Applied Mechanics Reviews by Anonim Pdf

Author : J. D. Achenbach,A. K. Gautesen,H. McMaken
Publisher : Pitman Advanced Publishing Program
Page : 280 pages
File Size : 46,9 Mb
Release : 1982
Category : Mathematics
ISBN : UOM:39015014360609

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Ray Methods for Waves in Elastic Solids by J. D. Achenbach,A. K. Gautesen,H. McMaken Pdf

Author : F. McCarthy,M. Hayes
Publisher : Elsevier
Page : 663 pages
File Size : 45,6 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483290669

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Elastic Wave Propagation by F. McCarthy,M. Hayes Pdf

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.

Author : E. R. Pike,Pierre C. Sabatier
Publisher : Academic Press
Page : 985 pages
File Size : 51,9 Mb
Release : 2002
Category : Science
ISBN : 9780126137606

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Scattering, Two-Volume Set by E. R. Pike,Pierre C. Sabatier Pdf

Part 1: SCATTERING OF WAVES BY MACROSCOPIC TARGET -- Interdisciplinary aspects of wave scattering -- Acoustic scattering -- Acoustic scattering: approximate methods -- Electromagnetic wave scattering: theory -- Electromagnetic wave scattering: approximate and numerical methods -- Electromagnetic wave scattering: applications -- Elastodynamic wave scattering: theory -- Elastodynamic wave scattering: Applications -- Scattering in Oceans -- Part 2: SCATTERING IN MICROSCOPIC PHYSICS AND CHEMICAL PHYSICS -- Introduction to direct potential scattering -- Introduction to Inverse Potential Scattering -- Visible and Near-visible Light Scattering -- Practical Aspects of Visible and Near-visible Light Scattering -- Nonlinear Light Scattering -- Atomic and Molecular Scattering: Introduction to Scattering in Chemical -- X-ray Scattering -- Neutron Scattering -- Electron Diffraction and Scattering -- Part 3: SCATTERING IN NUCLEAR PHYSICS -- Nuclear Physics -- Part 4: PARTICLE SCATTERING -- State of the Art of Peturbative Methods -- Scattering Through Electro-weak Interactions (the Fermi Scale) -- Scattering Through Strong Interactions (the Hadronic or QCD Scale) -- Part 5: SCATTERING AT EXTREME PHYSICAL SCALES -- Scattering at Extreme Physical Scales -- Part 6: SCATTERING IN MATHEMATICS AND NON-PHYSICAL SCIENCES -- Relations with Other Mathematical Theories -- Inverse Scattering Transform and Non-linear Partial Differenttial Equations -- Scattering of Mathematical Objects.

Author : K. Sobczyk
Publisher : Elsevier
Page : 257 pages
File Size : 47,5 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780444598042

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Stochastic Wave Propagation by K. Sobczyk Pdf

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.