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Author: Michael A. Pelissier
Publisher: SEG Books
Published: 2007
Total Pages: 10
ISBN-13: 1560801425
DOWNLOAD EBOOKThis volume contains 16 classic essays from the 17th to the 21st centuries on aspects of elastic wave theory.
Author: William Maurice Ewing
Publisher:
Published: 1957
Total Pages: 402
ISBN-13:
DOWNLOAD EBOOKAuthor: Fedor I. Fedorov
Publisher: Springer Science & Business Media
Published: 2013-04-17
Total Pages: 377
ISBN-13: 1475712758
DOWNLOAD EBOOKThe 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.
Author: Karl F. Graff
Publisher: Courier Corporation
Published: 2012-04-26
Total Pages: 690
ISBN-13: 0486139573
DOWNLOAD EBOOKSelf-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.
Author: J. Miklowitz
Publisher: Elsevier
Published: 2012-12-02
Total Pages: 635
ISBN-13: 0080984045
DOWNLOAD EBOOKThe 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: J. A. Hudson
Publisher: CUP Archive
Published: 1984-09-27
Total Pages: 252
ISBN-13: 9780521318679
DOWNLOAD EBOOKDr Hudson's advanced textbook presents the theory of small disturbances propagating through solids.
Author: Augustus Edward Hough Love
Publisher:
Published: 1927
Total Pages: 674
ISBN-13:
DOWNLOAD EBOOKAuthor: Michael A Slawinski
Publisher: World Scientific Publishing Company
Published: 2010-09-09
Total Pages: 614
ISBN-13: 9813107677
DOWNLOAD EBOOKThe present book — which is the second, and significantly extended, edition of the textbook originally published by Elsevier Science — 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 Elastic Continua, 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 Waves and Rays, 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 invoke the concept of a ray. In Variational Formulation of Rays, 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 the Appendices, 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.
Author: Vassily Babich
Publisher: CRC Press
Published: 2018-04-09
Total Pages: 227
ISBN-13: 1315314746
DOWNLOAD EBOOKElastic 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.
Author: A.G. Kulikovskii
Publisher: CRC Press
Published: 2021-07-01
Total Pages: 252
ISBN-13: 1000446417
DOWNLOAD EBOOKNonlinear Waves in Elastic Media explores the theoretical results of one-dimensional nonlinear waves, including shock waves, in elastic media. It is the first book to provide an in-depth and comprehensive presentation of the nonlinear wave theory while taking anisotropy effects into account. The theory is completely worked out and draws on 15 years of research by the authors, one of whom also wrote the 1965 classic Magnetohydrodynamics. Nonlinear Waves in Elastic Media emphasizes the behavior of quasitransverse waves and analyzes arbitrary discontinuity disintegration problems, illustrating that the solution can be non-unique - a surprising result. The solution is shown to be especially interesting when anisotropy and nonlinearity effects interact, even in small-amplitude waves. In addition, the text contains an independent mathematical chapter describing general methods to study hyperbolic systems expressing the conservation laws. The theoretical results described in Nonlinear Waves in Elastic Media allow, for the first time, discovery and interpretation of many new peculiarities inherent to the general problem of discontinuous solutions and so provide a valuable resource for advanced students and researchers involved with continuum mechanics and partial differential equations.
