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Author : Roger Borcherdt
Publisher : Cambridge University Press
Page : 519 pages
File Size : 40,5 Mb
Release : 2020-10-22
Category : Science
ISBN : 9781108495691
A rigorous self-contained exposition of the mathematical theory for wave propagation and general ray theory in layered viscoelastic media.
Author : Roger D. Borcherdt
Publisher : Unknown
Page : 305 pages
File Size : 52,7 Mb
Release : 2009
Category : Electronic books
ISBN : 0511580355
This book is a rigorous, self-contained exposition of the mathematical theory for wave propagation in layered media with arbitrary amounts of intrinsic absorption. The theory, previously unpublished in book form, provides solutions for fundamental wave-propagation problems and corresponding numerical results in the context of any media with a linear response (elastic or anelastic). It provides new insights regarding the physical characteristics for two- and three-dimensional anelastic body and surface waves. The book is an excellent graduate-level textbook. It permits fundamental elastic wave propagation to be taught in the broader context of wave propagation in any media with a linear response. The book is a valuable reference text. It provides tools for solving problems in seismology, geotechnical engineering, exploration geophysics, solid mechanics, and acoustics. The numerical examples and problem sets facilitate understanding by emphasizing important aspects of both the theory and the numerical results.
Author : Roger D. Borcherdt
Publisher : Unknown
Page : 128 pages
File Size : 45,9 Mb
Release : 2020
Category : Viscoelastic materials
ISBN : 1108862667
"The first edition of this book was a rigorous, self-contained exposition of the mathematical theory for wave propagation in layered media with arbitrary amounts of intrinsic absorption. The second edition extends this exposition to include the theory of general rays and head waves. These theories, previously not published in another book, provide solutions for many of the fundamental wave-propagation and ray-theory problems of seismology and other fields in the general context of any viscoelastic media with a linear response (elastic or anelastic). They explain observed characteristics of two- and three-dimensional anelastic body and surface waves, head waves, and general rays not accounted for by elastic or one-dimensional anelastic models"--
Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 51,6 Mb
Release : 2005
Category : Electronic
ISBN : OCLC:741249523
This is the first book to explain the mathematical theory and corresponding numerical results for wave propagation in layered media with arbitrary amounts of intrinsic absorption. It provides fundamental problem-solving tools, including numerical example.
Author : L Brekhovskikh
Publisher : Elsevier
Page : 520 pages
File Size : 51,8 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780323161626
Waves in Layered Media discusses different theories about the relationship between waves and media. The book specifically covers several factors that can affect the behavior and formation of various kinds of waves in different types of media. Comprised of nine chapters, the book establishes the fundamentals by first tackling simplest concepts, such as the behavior plane wave and discretely layered media. The succeeding chapters cover much more complex ideas, such as the refraction and reflection of waves, spherical wave, and wave in inhomogeneous media. The book will be a great asset to researchers whose work involves acoustics, or to professionals whose line of work involves sound waves.
Author : Francesco Mainardi
Publisher : Pitman Advanced Publishing Program
Page : 1022 pages
File Size : 52,7 Mb
Release : 1982
Category : Viscoelasticity
ISBN : UCAL:B4178736
Author : Leonid Maksimovich Brekhovskikh
Publisher : Unknown
Page : 584 pages
File Size : 45,8 Mb
Release : 1960
Category : Science
ISBN : UCAL:B3754011
Author : Martin Schanz
Publisher : Springer Science & Business Media
Page : 176 pages
File Size : 55,6 Mb
Release : 2012-11-27
Category : Science
ISBN : 9783540445753
Wave propagation is an important topic in engineering sciences, especially, in the field of solid mechanics. A description of wave propagation phenomena is given by Graff [98]: The effect of a sharply applied, localized disturbance in a medium soon transmits or 'spreads' to other parts of the medium. These effects are familiar to everyone, e.g., transmission of sound in air, the spreading of ripples on a pond of water, or the transmission of radio waves. From all wave types in nature, here, attention is focused only on waves in solids. Thus, solely mechanical disturbances in contrast to electro-magnetic or acoustic disturbances are considered. of waves - the compression wave similar to the In solids, there are two types pressure wave in fluids and, additionally, the shear wave. Due to continual reflec tions at boundaries and propagation of waves in bounded solids after some time a steady state is reached. Depending on the influence of the inertia terms, this state is governed by a static or dynamic equilibrium in frequency domain. However, if the rate of onset of the load is high compared to the time needed to reach this steady state, wave propagation phenomena have to be considered.
Author : José M. Carcione
Publisher : Elsevier
Page : 690 pages
File Size : 43,5 Mb
Release : 2014-12-08
Category : Science
ISBN : 9780081000038
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
Author : William Maurice Ewing
Publisher : Unknown
Page : 402 pages
File Size : 54,5 Mb
Release : 1957
Category : Science
ISBN : UOM:39015006413267
Author : Norman Hurd Ricker
Publisher : Elsevier Science & Technology
Page : 296 pages
File Size : 40,5 Mb
Release : 1977
Category : Science
ISBN : UCAL:B4331057
Transient Waves in Visco-Elastic Media ...
Author : J.H.M.T. van der Hijden
Publisher : Elsevier
Page : 298 pages
File Size : 49,5 Mb
Release : 2016-05-24
Category : Science
ISBN : 9781483295909
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.
Author : A.H. Nayfeh
Publisher : Elsevier
Page : 331 pages
File Size : 46,7 Mb
Release : 1995-09-27
Category : Technology & Engineering
ISBN : 0080543731
Recent advances in the study of the dynamic behavior of layered materials in general, and laminated fibrous composites in particular, are presented in this book. The need to understand the microstructural behavior of such classes of materials has brought a new challenge to existing analytical tools. This book explores the fundamental question of how mechanical waves propagate and interact with layered anisotropic media. The chapters are organized in a logical sequence depending upon the complexity of the physical model and its mathematical treatment.
Author : Anonim
Publisher : Unknown
Page : 348 pages
File Size : 50,6 Mb
Release : 1992
Category : Mechanics, Applied
ISBN : OSU:32435026160556
Author : Jan Achenbach
Publisher : Elsevier
Page : 440 pages
File Size : 45,7 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780080934716
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.
