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Author : Billy Carol Ellis
Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.:/5 (367 download)
Download or read book An analytical study of elastic waves using approximate equations of motion written by Billy Carol Ellis and published by . This book was released on 1961 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Propagation of Elastic Waves in Thin Plates: An analytical study of elastic waves using approximate equations of motion, by Billy C. Ellis written by and published by . This book was released on 1960 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John G. Harris
Publisher : Cambridge University Press
ISBN 13 : 9780521643832
Total Pages : 184 pages
Book Rating : 4.6/5 (438 download)
Download or read book Linear Elastic Waves written by John G. Harris and published by Cambridge University Press. This book was released on 2001-08-06 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: An advanced level textbook on wave propagation and scattering directed at applied mathematicians, seismologists, and engineers.
Author : J. D. Achenbach
Publisher : Elsevier
ISBN 13 : 1483163733
Total Pages : 440 pages
Book Rating : 4.4/5 (831 download)
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.
Author : Karl F. Graff
Publisher : Courier Corporation
ISBN 13 : 0486139573
Total Pages : 690 pages
Book Rating : 4.4/5 (861 download)
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.
Author : Michael D. Collins
Publisher : Springer Nature
ISBN 13 : 1493999346
Total Pages : 135 pages
Book Rating : 4.4/5 (939 download)
Download or read book Parabolic Wave Equations with Applications written by Michael D. Collins and published by Springer Nature. This book was released on 2019-11-04 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces parabolic wave equations, their key methods of numerical solution, and applications in seismology and ocean acoustics. The parabolic equation method provides an appealing combination of accuracy and efficiency for many nonseparable wave propagation problems in geophysics. While the parabolic equation method was pioneered in the 1940s by Leontovich and Fock who applied it to radio wave propagation in the atmosphere, it thrived in the 1970s due to its usefulness in seismology and ocean acoustics. The book covers progress made following the parabolic equation’s ascendancy in geophysics. It begins with the necessary preliminaries on the elliptic wave equation and its analysis from which the parabolic wave equation is derived and introduced. Subsequently, the authors demonstrate the use of rational approximation techniques, the Padé solution in particular, to find numerical solutions to the energy-conserving parabolic equation, three-dimensional parabolic equations, and horizontal wave equations. The rest of the book demonstrates applications to seismology, ocean acoustics, and beyond, with coverage of elastic waves, sloping interfaces and boundaries, acousto-gravity waves, and waves in poro-elastic media. Overall, it will be of use to students and researchers in wave propagation, ocean acoustics, geophysical sciences and more.
Author :
Publisher :
ISBN 13 :
Total Pages : 1056 pages
Book Rating : 4.3/5 (91 download)
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1961 with total page 1056 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael A. Slawinski
Publisher : World Scientific
ISBN 13 : 9814289000
Total Pages : 614 pages
Book Rating : 4.8/5 (142 download)
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.
Author : J. Miklowitz
Publisher : Elsevier
ISBN 13 : 0080984045
Total Pages : 635 pages
Book Rating : 4.0/5 (89 download)
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.
Author : R.C. Payton
Publisher : Springer Science & Business Media
ISBN 13 : 9789024728435
Total Pages : 214 pages
Book Rating : 4.7/5 (284 download)
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.
Author :
Publisher :
ISBN 13 :
Total Pages : 744 pages
Book Rating : 4.:/5 (31 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1981 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jeremiah J. Rushchitsky
Publisher : Springer Science & Business
ISBN 13 : 3319004646
Total Pages : 445 pages
Book Rating : 4.3/5 (19 download)
Download or read book Nonlinear Elastic Waves in Materials written by Jeremiah J. Rushchitsky and published by Springer Science & Business. This book was released on 2014-04-23 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of the book is a coherent treatment of the theory of propagation in materials of nonlinearly elastic waves of displacements, which corresponds to one modern line of development of the nonlinear theory of elastic waves. The book is divided on five basic parts: the necessary information on waves and materials; the necessary information on nonlinear theory of elasticity and elastic materials; analysis of one-dimensional nonlinear elastic waves of displacement – longitudinal, vertically and horizontally polarized transverse plane nonlinear elastic waves of displacement; analysis of one-dimensional nonlinear elastic waves of displacement – cylindrical and torsional nonlinear elastic waves of displacement; analysis of two-dimensional nonlinear elastic waves of displacement – Rayleigh and Love nonlinear elastic surface waves. The book is addressed first of all to people working in solid mechanics – from the students at an advanced undergraduate and graduate level to the scientists, professionally interesting in waves. But mechanics is understood in the broad sense, when it includes mechanical and other engineering, material science, applied mathematics and physics and so forth. The genesis of this book can be found in author’s years of research and teaching while a head of department at SP Timoshenko Institute of Mechanics (National Academy of Sciences of Ukraine), a member of Center for Micro and Nanomechanics at Engineering School of University of Aberdeen (Scotland) and a professor at Physical-Mathematical Faculty of National Technical University of Ukraine “KPI”. The book comprises 11 chapters. Each chapter is complemented by exercises, which can be used for the next development of the theory of nonlinear waves.
Author :
Publisher :
ISBN 13 :
Total Pages : 620 pages
Book Rating : 4.:/5 (26 download)
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : University of Texas
Publisher :
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.:/5 (319 download)
Download or read book Publications of the Faculty and Staff written by University of Texas and published by . This book was released on 1959 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1388 pages
Book Rating : 4.3/5 (243 download)
Download or read book Monthly Catalog of United States Government Publications written by and published by . This book was released on 1971 with total page 1388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : United States. Superintendent of Documents
Publisher :
ISBN 13 :
Total Pages : 1408 pages
Book Rating : 4.F/5 ( download)
Download or read book Monthly Catalog of United States Government Publications, Cumulative Index written by United States. Superintendent of Documents and published by . This book was released on 1976 with total page 1408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : United States. Office of Naval Research
Publisher :
ISBN 13 :
Total Pages : 368 pages
Book Rating : 4.F/5 ( download)
Download or read book Navy Research Task Summary written by United States. Office of Naval Research and published by . This book was released on with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
