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Author : J. D. Achenbach
Publisher : Pitman Advanced Publishing Program
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.3/5 (91 download)
Download or read book Ray Methods for Waves in Elastic Solids written by J. D. Achenbach and published by Pitman Advanced Publishing Program. This book was released on 1982 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Jan Achenbach
Publisher : Elsevier
ISBN 13 : 0080934714
Total Pages : 440 pages
Book Rating : 4.0/5 (89 download)
Download or read book Wave Propagation in Elastic Solids written by Jan Achenbach and published by Elsevier. This book was released on 2012-12-02 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : J. D. Achenbach
Publisher : Halsted Press
ISBN 13 : 9780470204009
Total Pages : 272 pages
Book Rating : 4.2/5 (4 download)
Download or read book Ray Methods for Waves in Elastic Solids written by J. D. Achenbach and published by Halsted Press. This book was released on 1986-05-01 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Karl F. Graff
Publisher : Courier Corporation
ISBN 13 : 0486139573
Total Pages : 688 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 688 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 : Vassily Babich
Publisher : CRC Press
ISBN 13 : 1315314754
Total Pages : 286 pages
Book Rating : 4.3/5 (153 download)
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.
Author : DANIEL ROYER
Publisher : Springer Science & Business Media
ISBN 13 : 9783540659327
Total Pages : 394 pages
Book Rating : 4.6/5 (593 download)
Download or read book Elastic Waves in Solids I written by DANIEL ROYER and published by Springer Science & Business Media. This book was released on 1999-11-29 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Ch Zhang
Publisher : Computational Mechanics
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.3/5 (91 download)
Download or read book On Wave Propagation in Elastic Solids with Cracks written by Ch Zhang and published by Computational Mechanics. This book was released on 1998 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Begins with both a non-hypersingular time-domain traction boundary integral equation formulation for transient elastodynamic crack analysis and a time-stepping scheme for solving the boundary integral equations. The scheme is applied to analyze three-dimensional rectangular and penny-shaped cracks, and to investigate pulse shape effects on the dynamic stress intensity factor. The corresponding frequency-domain boundary integral equation is given, and time- harmonic wave propagation in randomly cracked solids is treated. The second half of the book deals with the elastodynamic analysis of a periodic array of cracks in plane strain and of anti-plane interface cracks between two different materials, and the effect of the material anistrophy on the near-tip quantities, the scattered far-field, and wave attenuation and dispersion. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Vassily Babich
Publisher : CRC Press
ISBN 13 : 1315314746
Total Pages : 182 pages
Book Rating : 4.3/5 (153 download)
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 182 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.
Author : Giacomo Caviglia
Publisher : World Scientific
ISBN 13 : 9789810208042
Total Pages : 328 pages
Book Rating : 4.2/5 (8 download)
Download or read book Inhomogeneous Waves in Solids and Fluids written by Giacomo Caviglia and published by World Scientific. This book was released on 1992 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book may be viewed as an introduction to time-harmonic waves in dissipative bodies, notably viscoelastic solids and fluids. The inhomogeneity of the waves, which is due to the fact that planes of constant phase are not parallel to planes of constant amplitude, is shown to be strictly related to the dissipativity of the medium. A preliminary analysis is performed on the propagation of inhomogeneous waves in unbounded media and of reflection and refraction at plane interfaces. Then emphasis is given to those features that are of significance for applications. In essence, they regard surface waves, scattering by (curved) obstacles, wave propagation in layered heterogeneous media, and ray methods. The pertinent mathematical techniques are discussed so as to make the book reasonably self-contained.
Author : Michael A Slawinski
Publisher : World Scientific Publishing Company
ISBN 13 : 9814644218
Total Pages : 656 pages
Book Rating : 4.8/5 (146 download)
Download or read book Waves and Rays in Elastic Continua written by Michael A Slawinski and published by World Scientific Publishing Company. This book was released on 2014-12-15 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book — which is the third, significantly revised 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. Request Inspection Copy
Author : Daniel Royer
Publisher : John Wiley & Sons
ISBN 13 : 1786308142
Total Pages : 338 pages
Book Rating : 4.7/5 (863 download)
Download or read book Elastic Waves in Solids, Volume 1 written by Daniel Royer and published by John Wiley & Sons. This book was released on 2022-04-19 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Herbert Kolsky
Publisher : Courier Corporation
ISBN 13 : 0486610985
Total Pages : 226 pages
Book Rating : 4.4/5 (866 download)
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.
Author : W. K. Nowacki
Publisher : Elsevier
ISBN 13 : 1483153932
Total Pages : 258 pages
Book Rating : 4.4/5 (831 download)
Download or read book Stress Waves in Non-Elastic Solids written by W. K. Nowacki and published by Elsevier. This book was released on 2013-10-22 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stress Waves in Non-Elastic Solids is a comprehensive presentation of the principles underlying the propagation of stress waves in non-elastic solids, with emphasis on wave problems in the theory of plasticity. This book exposes wave propagation problems for a range of material responses and justifies the hypotheses introduced in specialized theories and the simplifications made in the analysis of particular problems. Both analytical and numerical methods of solving problems are described, and a large number of solutions to specific problems of wave propagation in inelastic solids are given. This book is comprised of six chapters and begins with an overview of the fundamental equations of the dynamics of inelastic media. The dynamical properties of metals and soils are discussed, offering an account of the most representative theories of plasticity and viscoplasticity. The next chapter considers the basic definitions of discontinuity surfaces and the conditions that must to be satisfied across these surfaces. Certain mathematical fundamentals are given, referring to systems of differential equations, quasi-linear and semi-linear, of the first order. Initial and boundary value problems for hyperbolic equations are also formulated. The remaining chapters focus on methods of solving stress wave propagation problems, including one-dimensional plane waves and longitudinal-transverse waves. Wave propagation problems for elastic-plastic and elastic/viscoplastic media are treated in detail, along with the most important problem of shock waves in metals and soils. The last chapter deals with thermal wave propagation problems. This monograph will be a valuable resource for students and practitioners of engineering, physics, and mathematics.
Author : Anthony Bedford
Publisher : Springer Nature
ISBN 13 : 3031328752
Total Pages : 388 pages
Book Rating : 4.0/5 (313 download)
Download or read book Introduction to Elastic Wave Propagation written by Anthony Bedford and published by Springer Nature. This book was released on 2023-11-05 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and updated edition expands on its explanations of methods used to analyze waves in solid materials, such as the waves created by earthquakes and the ultrasonic waves used to detect flaws in materials and for medical diagnoses. In addition to the traditional methods used to analyze steady-state and transient waves in elastic materials, the book contains introductions to advanced areas that no other single text covers. These topics include the use of finite elements to solve wave problems, the Cagniard-de Hoop method, the four-pole technique for analyzing waves in layered media, and the growth and decay of shock and acceleration waves. The authors explain the theory of linear elasticity through the displacement equations of motion, methods used to analyze steady-state and transient waves in layered media, and include an appendix on functions of a complex variable. Originally developed for a graduate course for which no suitable text existed, the new edition retains its classroom-tested treatment of the theories of linear elasticity and complex variables for students needing background in those subjects.
Author : Arkadiusz Żak
Publisher : Springer Nature
ISBN 13 : 3031568362
Total Pages : 332 pages
Book Rating : 4.0/5 (315 download)
Download or read book A Finite Element Approach for Wave Propagation in Elastic Solids written by Arkadiusz Żak and published by Springer Nature. This book was released on with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael A. Slawinski
Publisher : Elsevier
ISBN 13 : 9780080439303
Total Pages : 401 pages
Book Rating : 4.4/5 (393 download)
Download or read book Seismic Waves and Rays in Elastic Media written by Michael A. Slawinski and published by Elsevier. This book was released on 2003 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book seeks to explore seismic phenomena in elastic media and emphasizes the interdependence of mathematical formulation and physical meaning. The purpose of this title - which is intended for senior undergraduate and graduate students as well as scientists interested in quantitative seismology - is to use aspects of continuum mechanics, wave theory and ray theory to describe phenomena resulting from the propagation of waves. The book is divided into three parts: Elastic continua, Waves and rays, and Variational formulation of rays. In Part I, continuum mechanics are used to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such material. In Part II, these equations are used 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, the high-frequency approximation is used and establishes the concept of a ray. In Part III, it is shown 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 travel time.
