Elastic Waves in Solids I

Elastic Waves in Solids I

Author: DANIEL ROYER

Publisher: Springer Science & Business Media

Published: 1999-11-29

Total Pages: 394

ISBN-13: 9783540659327

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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.


Wave Motion in Elastic Solids

Wave Motion in Elastic Solids

Author: Karl F. Graff

Publisher: Courier Corporation

Published: 2012-04-26

Total Pages: 690

ISBN-13: 0486139573

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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.


Stress Waves in Solids

Stress Waves in Solids

Author: Herbert Kolsky

Publisher: Courier Corporation

Published: 1963-01-01

Total Pages: 226

ISBN-13: 0486610985

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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.


Classics of Elastic Wave Theory

Classics of Elastic Wave Theory

Author: Michael A. Pelissier

Publisher: SEG Books

Published: 2007

Total Pages: 10

ISBN-13: 1560801425

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This volume contains 16 classic essays from the 17th to the 21st centuries on aspects of elastic wave theory.


Theory of Elastic Waves in Crystals

Theory of Elastic Waves in Crystals

Author: Fedor I. Fedorov

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 377

ISBN-13: 1475712758

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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

Elastic Waves

Author: Vassily Babich

Publisher: CRC Press

Published: 2018-04-09

Total Pages: 286

ISBN-13: 1315314754

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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.


Mechanics of Continua and Wave Dynamics

Mechanics of Continua and Wave Dynamics

Author: Leonid M. Brekhovskikh

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 355

ISBN-13: 3642850340

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Mechanics of Continua and Wave Dynamics is a textbook for a course on the mechanics of solids and fluids with the emphasis on wave theory. The material is presented with simplicity and clarity but also with mathematical rigor. Many wave phenomena, especially those of geophysical nature (different types of waves in the ocean, seismic waves in the earth crust, wave propagation in the atmosphere, etc.), are considered. Each subject is introduced with simple physical concepts using numerical examples and models. The treatment then goes into depth and complicated aspects are illustrated by appropriate generalizations. Numerous exercises with solutions will help students to comprehend and assimilate the ideas.


Elastic Waves in Solids, Volume 1

Elastic Waves in Solids, Volume 1

Author: Daniel Royer

Publisher: John Wiley & Sons

Published: 2022-03-08

Total Pages: 338

ISBN-13: 1119902932

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Elastic waves are used in fields as diverse as the non-destructive evaluation of materials, medicine, seismology and telecommunications. Elastic Waves in Solids 1 presents the different modes of propagation of elastic waves in increasingly complex media and structures. It first studies the propagation in an unlimited solid where only the material properties are taken into account. It then analyzes reflection and transmission phenomena at an interface with a fluid or a second solid. It explains the search for propagation modes on a free surface or at the interface between two media. Finally, it proposes a study of the dispersive propagation of elastic waves guided by a plate or a cylinder. This book is intended for students completing a master’s degree in acoustics, mechanics, geophysics or engineering, as well as teachers and researchers in these disciplines.


Elastic wave propagation in transversely isotropic media

Elastic wave propagation in transversely isotropic media

Author: R.C. Payton

Publisher: Springer Science & Business Media

Published: 1983-10-31

Total Pages: 214

ISBN-13: 9789024728435

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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.