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Elastic Wave Propagation In Transversely Isotropic Media
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Book Synopsis Elastic wave propagation in transversely isotropic media by : R.C. Payton
Download or read book Elastic wave propagation in transversely isotropic media written by R.C. Payton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph I record those parts of the theory of transverse isotropic elastic wave propagation which lend themselves to an exact treatment, within the framework of linear theory. Emphasis is placed on transient wave motion problems in two- and three-dimensional unbounded and semibounded solids for which explicit results can be obtained, without resort to approximate methods of integration. The mathematical techniques used, many of which appear here in book form for the first time, will be of interest to applied mathematicians, engeneers and scientists whose specialty includes crystal acoustics, crystal optics, magnetogasdynamics, dislocation theory, seismology and fibre wound composites. My interest in the subject of anisotropic wave motion had its origin in the study of small deformations superposed on large deformations of elastic solids. By varying the initial stretch in a homogeneously deformed solid, it is possible to synthesize aniso tropic materials whose elastic parameters vary continuously. The range of the parameter variation is limited by stability considerations in the case of small deformations super posed on large deformation problems and (what is essentially the same thing) by the of hyperbolicity (solids whose parameters allow wave motion) for anisotropic notion solids. The full implication of hyperbolicity for anisotropic elastic solids has never been previously examined, and even now the constraints which it imposes on the elasticity constants have only been examined for the class of transversely isotropic (hexagonal crystals) materials.
Book Synopsis Stress Waves in Transversely Isotropic Media: The Homogeneous Problem by : E. R. C. Marques
Download or read book Stress Waves in Transversely Isotropic Media: The Homogeneous Problem written by E. R. C. Marques and published by . This book was released on 1986 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: The homogeneous problem of stress wave propagation in unbounded transversely isotropic media is analyzed. By adopting plane wave solutions, the conditions for the existence of the solution are established in terms of phase velocities and directions of particle displacements. Dispersion relations and group velocities are derived from the phase velocity expressions. The deviation angles (e.g., angles between the normals to the adopted plane waves and the actual directions of their propagation) are numerically determined for a specific fiber-glass epoxy composite. A graphical method is introduced for the construction of the wave surfaces using magnitudes of phase velocities and deviation angles. The results for the case of isotropic media are shown to be contained in the solutions for the transversely isotropic media.
Book Synopsis Elastic Wave Propagation by : F. McCarthy
Download or read book Elastic Wave Propagation written by F. McCarthy and published by Elsevier. This book was released on 2013-10-22 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.
Book Synopsis Wave Propagation in Anisotropic Medium Due to an Oscillatory Point Source with Application to Unidirectional Composites by :
Download or read book Wave Propagation in Anisotropic Medium Due to an Oscillatory Point Source with Application to Unidirectional Composites written by and published by . This book was released on 1986 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: The far-field displacements in an infinite transversely isotropic elastic medium subjected to an oscillatory concentrated force are derived. The concepts of velocity surface, slowness surface and wave surface are used to describe the geometry of the wave propagation process. It is shown that the decay of the wave amplitudes depends not only on the distance from the source (as in isotropic media) but also depends on the direction of the point of interest from the source. As an example, the displacement field is computed for a laboratory fabricated unidirectional fiberglass epoxy composite. The solution for the displacements is expressed as an amplitude distribution and is presented in polar diagrams. This analysis has potential usefulness in the acoustic emission (AE) and ultrasonic nondestructive evaluation of composite materials. For example, the transient localized disturbances which are generally associated with AE sources can be modeled via this analysis. In which case, knowledge of the displacement field which arrives at a receiving transducer allows inferences regarding the strength and orientation of the source, and consequently perhaps the degree of damage within the composite.
Book Synopsis Elastic Waves in Solids I by : DANIEL ROYER
Download or read book Elastic Waves in Solids I written by DANIEL ROYER and published by Springer Science & Business Media. This book was released on 1999-11-29 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastic waves possess some remarkable properties and have become ever more important to applications in fields such as telecommunications (signal processing), medicine (echography), and metallurgy (non-destructive testing). These volumes serve as a bridge between basic books on wave phenomena and more technically oriented books on specific applications of wave phenomena. The first volume studies the different mechanisms of propagation in isotropic and anisotropic media. The second volume describes the generation and applications of free and guided waves.
Book Synopsis Propagation of Transient Elastic Waves in Stratified Anisotropic Media by : J.H.M.T. van der Hijden
Download or read book Propagation of Transient Elastic Waves in Stratified Anisotropic Media written by J.H.M.T. van der Hijden and published by Elsevier. This book was released on 2016-05-24 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seismic waves are one of the standard diagnostic tools used to determine the mechanical parameters (volume density of mass, compressibility, elastic stiffness) in the interior of the earth and the geometry of subsurface structures. There is increasing evidence that in the interpretation of seismic data - especially shear-wave data - the influence of anisotropy must be taken into account. This volume presents a method to compute the seismic waves that are generated by an impulsive source in a stratified anisotropic medium. Although written with the seismic applications in mind, the method that is developed is not limited to solid-earth geophysics. In fact, the methods discussed in this monograph are applicable wherever waves propagate in stratified, anisotropic media. The standard approach to this problem is to employ Fourier transformations with respect to time and with respect to the horizontal spatial coordinates. To obtain numerical results, the relevant inverse transformations then have to be evaluated numerically. In this monograph the problem is, in contrast to the standard approach, solved by applying the Cagniard-de Hoop method and by representing the wave field as a sum of generalized rays. With this method, the computational results can be obtained relatively easily with any degree of accuracy, and with considerably less computation time. For completeness, analysis of acoustic waves in stratified isotropic media is included. Furthermore, for large horizontal or vertical source-receiver separations very efficient approximations are derived. Several examples and applications are given.
Book Synopsis Wave Fields in Real Media by : José M. Carcione
Download or read book Wave Fields in Real Media written by José M. Carcione and published by Elsevier Science. This book was released on 2018-11-13 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authored by the internationally renowned José M. Carcione, Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media examines the differences between an ideal and a real description of wave propagation, starting with the introduction of relevant stress-strain relations. The combination of this relation and the equations of momentum conservation lead to the equation of motion. The differential formulation is written in terms of memory variables, and Biot's theory is used to describe wave propagation in porous media. For each rheology, a plane-wave analysis is performed in order to understand the physics of wave propagation. This book contains a review of the main direct numerical methods for solving the equation of motion in the time and space domains. The emphasis is on geophysical applications for seismic exploration, but researchers in the fields of earthquake seismology, rock acoustics, and material science - including many branches of acoustics of fluids and solids - may also find this text useful. New to this edition: This new edition presents the fundamentals of wave propagation in Anisotropic, Anelastic, Porous Media while also incorporating the latest research from the past 7 years, including that of the author. The author presents all the equations and concepts necessary to understand the physics of wave propagation. These equations form the basis for modeling and inversion of seismic and electromagnetic data. Additionally, demonstrations are given, so the book can be used to teach post-graduate courses. Addition of new and revised content is approximately 30%. Examines the fundamentals of wave propagation in anisotropic, anelastic and porous media Presents all equations and concepts necessary to understand the physics of wave propagation, with examples Emphasizes geophysics, particularly, seismic exploration for hydrocarbon reservoirs, which is essential for exploration and production of oil
Book Synopsis Wave Propagation in Elastic Solids by : J. D. Achenbach
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.
Book Synopsis Waves in Layered Media by : Leonid Brekhovskikh
Download or read book Waves in Layered Media written by Leonid Brekhovskikh and published by Elsevier. This book was released on 2012-12-02 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Waves in Layered Media focuses on the theory of the propagation of elastic and electromagnetic waves in layered media. This book presents a complete report of Soviet researches on wave propagation through layered media. Organized into six chapters, this book starts with an overview of the theory of wave reflection from layers and interfaces. This text then examines the some of the representations and methods, which are common to different branches of physics. Other chapters define the reflection reduction of optical waves as the lowering of the reflection coefficient at the air–glass boundaries by depositing thin layers of several materials on the glass. This book discusses as well the field of a concentrated source situated in a layered-inhomogeneous medium, which is one of the main problems in modern radiophysics, acoustics, and the physics of the Earth's crust. The final chapter deals with wave propagation in layered-inhomogeneous media. This book is a valuable resource for engineers, scientists, and physicists.
Book Synopsis Wave Propagation in Elastic Solids by : Jan Achenbach
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.
Book Synopsis Seismic Signatures and Analysis of Reflection Data in Anisotropic Media by : I. Tsvankin
Download or read book Seismic Signatures and Analysis of Reflection Data in Anisotropic Media written by I. Tsvankin and published by Elsevier. This book was released on 2005-06-13 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following the breakthrough in the last decade in identifying the key parameters for time and depth imaging in anisotropic media and developing practical methodologies for estimating them from seismic data, Seismic Signatures and Analysis of Reflection Data in Anisotropic Media primarily focuses on the far reaching exploration benefits of anisotropic processing. This volume provides the first comprehensive description of reflection seismic signatures and processing methods in anisotropic media. It identifies the key parameters for time and depth imaging in transversely isotropic media and describes practical methodologies for estimating them from seismic data. Also, it contains a thorough discussion of the important issues of uniqueness and stability of seismic velocity analysis in the presence of anisotropy. The book contains a complete description of anisotropic imaging methods, from the theoretical background to algorithms to implementation issues. Numerous applications to synthetic and field data illustrate the improvements achieved by the anisotropic processing and the possibility of using the estimated anisotropic parameters in lithology discrimination. Focuses on the far reaching exploration benefits of anisotropic processing First comprehensive description of reflection seismic signatures and processing methods in anisotropic media
Book Synopsis Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation by : Alfredo Berm?dez
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.
Book Synopsis Review of Progress in Quantitative Nondestructive Evaluation by : Donald O. Thompson
Download or read book Review of Progress in Quantitative Nondestructive Evaluation written by Donald O. Thompson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 2462 pages. Available in PDF, EPUB and Kindle. Book excerpt: These Proceedings, consisting of Parts A and B, contain the edited versions of most of the papers presented at the annual Review of Progress in Quantitative Nondestructive Evaluation held at Snowmass Village, Colorado, on July 31 to August 4, 1994. The Review was organized by the Center for NDE at Iowa State University, in cooperation with the Ames Laboratory of the US DOE, the Materials Directorate of the Wright Laboratory, Wright-Patterson Air Force Base, the American Society of Nondestructive Testing, the Department of Energy, the National Institute of Standards and Technology, the Federal Aviation Administration, the National Science Foundation Industry/University Cooperative Research Centers, and the Working Group in Quantitative NDE. This year's Review of Progress in QNDE was attended by approximately 450 participants from the U.S. and many foreign countries who presented over 360 papers. The meeting was divided into 36 sessions, with as many as four sessions running concurrently. The Review covered all phases of NDE research and development from fundamental investigations to engineering applications or inspection systems, and it included many important methods of inspection science from acoustics to x-rays. In the last eight to ten years, the Review has stabilized at about its current size, which most participants seem to agree is large enough to permit a full-scale overview of the latest developments, but still small enough to retain the collegial atmosphere which has marked the Review since its inception.
Book Synopsis Seismic Signatures and Analysis of Reflection Data in Anisotropic Media by : I. Tsvankin
Download or read book Seismic Signatures and Analysis of Reflection Data in Anisotropic Media written by I. Tsvankin and published by Elsevier. This book was released on 2001-03-02 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following the breakthrough in the last decade in identifying the key parameters for time and depth imaging in anisotropic media and developing practical methodologies for estimating them from seismic data, this title primarily focuses on the far reaching exploration benefits of anisotropic processing. This volume provides the first comprehensive description of reflection seismic signatures and processing methods in anisotropic media. It identifies the key parameters for time and depth imaging in transversely isotropic media and describes practical methodologies for estimating them from seismic data. Also, it contains a thorough discussion of the important issues of uniqueness and stability of seismic velocity analysis in the presence of anisotropy. The book contains a complete description of anisotropic imaging methods, from the theoretical background to algorithms to implementation issues. Numerous applications to synthetic and field data illustrate the improvements achieved by the anisotropic processing and the possibility of using the estimated anisotropic parameters in lithology discrimination.
Book Synopsis Theory of Elastic Waves in Crystals by : Fedor I. Fedorov
Download or read book Theory of Elastic Waves in Crystals written by Fedor I. Fedorov and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The translation into English of Academician Fedorov's ex cellent treatise on elastic wave propagation in solids has come at an opportune time. His systematic exposition of all aspects of this field is most lucid and straightforward. The author has gone to considerable pains to develop in his mathematical background a consistent tensor framework which acts as a unifying motif through out the various aspects of the subject. In many respects his approach will appear quite novel as his treatment introduces several concepts and parameters previously unfamiliar to the literature of the West. Extensive tables in the final chapters illustrate the application of these ideas to the exist ing body of experimental data. The book is both extensive and comprehensive in al1 phases of the subject. Workers in the fields of ultrasonic propagation and elastic properties will find this treatise of great interest and direct concern. H. B. Huntington Rensselaer Polytechnic Institute Troy, New York November 1967 v Preface to the American Edition In preparing this edition I have corrected various misprints and errors appearing in the Russian edition, but I have also incorpo rated some substantial changes and additions, the latter representing some results I and my colleagues have recently obtained and pub_ lished in Russian journals. For example, in section 32 I have added a general derivation of the equation for the seetion of the wave surface by a symmetry plane for cubic, hexagonal, tetragonal, and orthorhombic crystals.
Book Synopsis Seismic Signatures and Analysis of Reflection Data in Anisotropic Media by : Ilya Tsvankin
Download or read book Seismic Signatures and Analysis of Reflection Data in Anisotropic Media written by Ilya Tsvankin and published by SEG Books. This book was released on 2012 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides essential background on anisotropic wave propagation, introduces efficient notation for transversely isotropic (TI) and orthorhombic media, and identifies the key anisotropy parameters for imaging and amplitude analysis. Particular attention is given to moveout analysis and P-wave time-domain processing for VTI and TTI.
Book Synopsis Anisotropic Elasticity by : T. C. T. Ting
Download or read book Anisotropic Elasticity written by T. C. T. Ting and published by Oxford University Press on Demand. This book was released on 1996 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elasticity is a property of materials which returns them to their original shape after forces applied to change the shape have been removed. This advanced text explores the problems of composite or anisotropic materials and their elasticity.
