Theory of Elastic Waves in Crystals

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Publisher : Springer Science & Business Media
ISBN 13 : 1475712758
Total Pages : 377 pages
Book Rating : 4.4/5 (757 download)

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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.

Elastic Waves

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Author :
Publisher : CRC Press
ISBN 13 : 1315314754
Total Pages : 286 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Elastic Waves by : Vassily Babich

Download or read book Elastic Waves written by Vassily Babich and published by CRC Press. This book was released on 2018-04-09 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastic Waves: High Frequency Theory is concerned with mathematical aspects of the theory of high-frequency elastic waves, which is based on the ray method. The foundations of elastodynamics are presented along with the basic theory of plane and spherical waves. The ray method is then described in considerable detail for bulk waves in isotropic and anisotropic media, and also for the Rayleigh waves on the surface of inhomogeneous anisotropic elastic solids. Much attention is paid to analysis of higher-order terms and to generation of waves in inhomogeneous media. The aim of the book is to present a clear, systematic description of the ray method, and at the same time to emphasize its mathematical beauty. Luckily, this beauty is usually not accompanied by complexity and mathematical ornateness.

Classics of Elastic Wave Theory

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Author :
Publisher : SEG Books
ISBN 13 : 1560801425
Total Pages : 10 pages
Book Rating : 4.5/5 (68 download)

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Book Synopsis Classics of Elastic Wave Theory by : Michael A. Pelissier

Download or read book Classics of Elastic Wave Theory written by Michael A. Pelissier and published by SEG Books. This book was released on 2007 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 16 classic essays from the 17th to the 21st centuries on aspects of elastic wave theory.

Wave Propagation in Elastic Solids

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Author :
Publisher : Elsevier
ISBN 13 : 1483163733
Total Pages : 440 pages
Book Rating : 4.4/5 (831 download)

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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.

The Theory of Elastic Waves and Waveguides

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Author :
Publisher : Elsevier
ISBN 13 : 0080984045
Total Pages : 635 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis The Theory of Elastic Waves and Waveguides by : J. Miklowitz

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.

Wave Motion in Elastic Solids

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486139573
Total Pages : 690 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Wave Motion in Elastic Solids by : Karl F. Graff

Download or read book Wave Motion in Elastic Solids written by Karl F. Graff and published by Courier Corporation. This book was released on 2012-04-26 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-contained coverage of topics ranging from elementary theory of waves and vibrations in strings to three-dimensional theory of waves in thick plates. Over 100 problems.

Theory of Elastic Waves

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Author :
Publisher : Springer Nature
ISBN 13 : 9811956626
Total Pages : 371 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Theory of Elastic Waves by : Peijun Wei

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.

Theory of Elastic Waves

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (17 download)

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Book Synopsis Theory of Elastic Waves by : Gerhard Müller

Download or read book Theory of Elastic Waves written by Gerhard Müller and published by . This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elastic Waves in the Earth

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Author :
Publisher : Elsevier
ISBN 13 : 0444601945
Total Pages : 506 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis Elastic Waves in the Earth by : Walter L. Pilant

Download or read book Elastic Waves in the Earth written by Walter L. Pilant and published by Elsevier. This book was released on 2012-12-02 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastic Waves in the Earth provides information on the relationship between seismology and geophysics and their general aspects. The book offers elastodynamic equations and derivative equations that can be used in the propagation of elastic waves. It also covers major topics in detail, such as the fundamentals of elastodynamics; the Lamb's problem, which includes the Cagniard-de Hoop theory; rays and modes in a radially inhomogeneous earth and in multilayered media, which includes the Thomson-Haskell theory; the elastic wave dissipation; the seismic source and noise; and the seismographs. The book consists of 33 chapters. The first 16 chapters include basic material related to the propagation of elastic waves. Topics covered by these chapters include scalars, vectors, and tensors in cartesian coordinates, stress and strain analysis, equations of elasticity and motion, plane waves, Rayleigh waves, plane-wave theory, and fluid-fluid and solid-solid interfaces. The second half of the book covers various ray and mode theories, elastic wave dissipation, and the observations and theories of seismic source and seismic noise. It concludes by discussing earthquake seismology and different seismographs, like the pendulum seismometer and the strain seismometer.

Waves and Rays in Elastic Continua

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Author :
Publisher : World Scientific
ISBN 13 : 9814289000
Total Pages : 614 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Waves and Rays in Elastic Continua by : Michael A. Slawinski

Download or read book Waves and Rays in Elastic Continua written by Michael A. Slawinski and published by World Scientific. This book was released on 2010 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of the textbook that was first published by Elsevier Science. Professor Slawinski has the copyright to the textbook and the second edition is significantly extended. The present book emphasizes the interdependence of mathematical formulation and physical meaning in the description of seismic phenomena. Herein, we use aspects of continuum mechanics, wave theory and ray theory to explain phenomena resulting from the propagation of seismic waves. The book is divided into three main sections: elastic continua, waves and rays and variational formulation of rays. There is also a fourth part, which consists of appendices. In Part 1, we use continuum mechanics to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such a material. In Part 2, we use these equations to identify the types of body waves propagating in elastic continua as well as to express their velocities and displacements in terms of the properties of these continua. To solve the equations of motion in anisotropic inhomogeneous continua, we use the high-frequency approximation and, hence, establish the concept of a ray. In Part 3, we show that, in elastic continua, a ray is tantamount to a trajectory along which a seismic signal propagates in accordance with the variational principle of stationary traveltime. Consequently, many seismic problems in elastic continua can be conveniently formulated and solved using the calculus of variations. In Part 4, we describe two mathematical concepts that are used in the book; namely, homogeneity of a function and Legendre's transformation. This section also contains a list of symbols.

Elastic Waves

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Author :
Publisher : CRC Press
ISBN 13 : 1315314746
Total Pages : 227 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Elastic Waves by : Vassily Babich

Download or read book Elastic Waves written by Vassily Babich and published by CRC Press. This book was released on 2018-04-09 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastic Waves: High Frequency Theory is concerned with mathematical aspects of the theory of high-frequency elastic waves, which is based on the ray method. The foundations of elastodynamics are presented along with the basic theory of plane and spherical waves. The ray method is then described in considerable detail for bulk waves in isotropic and anisotropic media, and also for the Rayleigh waves on the surface of inhomogeneous anisotropic elastic solids. Much attention is paid to analysis of higher-order terms and to generation of waves in inhomogeneous media. The aim of the book is to present a clear, systematic description of the ray method, and at the same time to emphasize its mathematical beauty. Luckily, this beauty is usually not accompanied by complexity and mathematical ornateness.

An Introduction to the Theory of Elasticity

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486150992
Total Pages : 272 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis An Introduction to the Theory of Elasticity by : R. J. Atkin

Download or read book An Introduction to the Theory of Elasticity written by R. J. Atkin and published by Courier Corporation. This book was released on 2013-02-20 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible text covers deformation and stress, derivation of equations of finite elasticity, and formulation of infinitesimal elasticity with application to two- and three-dimensional static problems and elastic waves. 1980 edition.

Elastic wave propagation in transversely isotropic media

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Publisher : Springer Science & Business Media
ISBN 13 : 9789024728435
Total Pages : 214 pages
Book Rating : 4.7/5 (284 download)

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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 1983-10-31 with total page 214 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.

Stress Waves in Solids

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Publisher : Courier Corporation
ISBN 13 : 0486610985
Total Pages : 226 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Stress Waves in Solids by : Herbert Kolsky

Download or read book Stress Waves in Solids written by Herbert Kolsky and published by Courier Corporation. This book was released on 1963-01-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most readable survey of the theoretical core of current knowledge available. The author gives a concise account of the classical theory necessary to an understanding of the subject and considers how this theory has been extended to solids.

Elastic Waves in Solids

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Author :
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 536 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Elastic Waves in Solids by : E. Dieulesaint

Download or read book Elastic Waves in Solids written by E. Dieulesaint and published by John Wiley & Sons. This book was released on 1980 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Foundations of Stress Waves

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Publisher : Elsevier
ISBN 13 : 0080470971
Total Pages : 549 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Foundations of Stress Waves by : Lili Wang

Download or read book Foundations of Stress Waves written by Lili Wang and published by Elsevier. This book was released on 2011-08-26 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary objective of Foundations of Stress Waves is to give the reader an understanding of stress wave behaviour while taking into account the dynamic constitutive equations of elastic-plastic solids. The author has combined a 'materials characteristics' approach with a 'singularity surface' approach in this work, which readers will find to be a novel and unique route to solving their problems. Helps engineers understand the effects and behavior of stress waves in various materials Aids in the process of engineering design, testing, and evaluation

The Excitation and Propagation of Elastic Waves

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521318679
Total Pages : 236 pages
Book Rating : 4.3/5 (186 download)

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Book Synopsis The Excitation and Propagation of Elastic Waves by : J. A. Hudson

Download or read book The Excitation and Propagation of Elastic Waves written by J. A. Hudson and published by Cambridge University Press. This book was released on 1984-09-27 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paperback edition of Dr Hudson's advanced textbook presents the theory of small disturbances propagating through solids. The material is set out carefully in mathematical detail. The linearised theory of elasticity has now been replaced by a more fundamental approach based on a generalised theory of continuum mechanics. Despite this change of emphasis in solid mechanics there remain important areas of physics in which the linear theory is clearly of fundamental importance, especially in seismology, noise analysis and the non-destructive testing of materials. This is a textbook suitable for advanced undergraduates in a variety of disciplines, including applied mathematics, applied physics, geophysics and structural and civil engineering. The book is of particular interest to seismologists and physicists engaged in non-destructive testing.