Wave Propagation In Solids And Fluids PDF Download
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Author | : Julian L. Davis |
Publisher | : Springer Science & Business Media |
Total Pages | : 303 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1461232848 |
Download Wave Propagation in Electromagnetic Media Book in PDF, ePub and Kindle
This is the second work of a set of two volumes on the phenomena of wave propagation in nonreacting and reacting media. The first, entitled Wave Propagation in Solids and Fluids (published by Springer-Verlag in 1988), deals with wave phenomena in nonreacting media (solids and fluids). This book is concerned with wave propagation in reacting media-specifically, in electro magnetic materials. Since these volumes were designed to be relatively self contained, we have taken the liberty of adapting some of the pertinent material, especially in the theory of hyperbolic partial differential equations (concerned with electromagnetic wave propagation), variational methods, and Hamilton-Jacobi theory, to the phenomena of electromagnetic waves. The purpose of this volume is similar to that of the first, except that here we are dealing with electromagnetic waves. We attempt to present a clear and systematic account of the mathematical methods of wave phenomena in electromagnetic materials that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical tech niques, and on showing how these methods of mathematical physics can be effective in unifying the physics of wave propagation in electromagnetic media. Chapter 1 presents the theory of time-varying electromagnetic fields, which involves a discussion of Faraday's laws, Maxwell's equations, and their appli cations to electromagnetic wave propagation under a variety of conditions.
Author | : Julian L. Davis |
Publisher | : Springer Science & Business Media |
Total Pages | : 396 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1461238862 |
Download Wave Propagation in Solids and Fluids Book in PDF, ePub and Kindle
The purpose of this volume is to present a clear and systematic account of the mathematical methods of wave phenomena in solids, gases, and water that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical techniques, and on showing how these mathematical concepts can be effective in unifying the physics of wave propagation in a variety of physical settings: sound and shock waves in gases, water waves, and stress waves in solids. Nonlinear effects and asymptotic phenomena will be discussed. Wave propagation in continuous media (solid, liquid, or gas) has as its foundation the three basic conservation laws of physics: conservation of mass, momentum, and energy, which will be described in various sections of the book in their proper physical setting. These conservation laws are expressed either in the Lagrangian or the Eulerian representation depending on whether the boundaries are relatively fixed or moving. In any case, these laws of physics allow us to derive the "field equations" which are expressed as systems of partial differential equations. For wave propagation phenomena these equations are said to be "hyperbolic" and, in general, nonlinear in the sense of being "quasi linear" . We therefore attempt to determine the properties of a system of "quasi linear hyperbolic" partial differential equations which will allow us to calculate the displacement, velocity fields, etc.
Author | : D. S. Drumheller |
Publisher | : Cambridge University Press |
Total Pages | : 546 |
Release | : 1998-02-13 |
Genre | : Science |
ISBN | : 9780521587464 |
Download Introduction to Wave Propagation in Nonlinear Fluids and Solids Book in PDF, ePub and Kindle
Waves occur widely in nature and have innumerable commercial uses. Pressure waves are responsible for the transmission of speech, bow waves created by meteors can virtually ignite the earth's atmosphere, ultrasonic waves are used for medical imaging, and shock waves are used for the synthesis of new materials. This book provides a thorough, modern introduction to the study of linear and nonlinear waves. Beginning with fundamental concepts of motion, the book goes on to discuss linear and nonlinear mechanical waves, thermodynamics, and constitutive models. It covers gases, liquids, and solids as integral parts of the subject. Among the important areas of research and application are impact analysis, shock wave research, explosive detonation, nonlinear acoustics, and hypersonic aerodynamics. Graduate students, as well as professional engineers and applied physicists, will value this clear, comprehensive introduction to the study of wave phenomena.
Author | : Giovanni P. Galdi |
Publisher | : Springer |
Total Pages | : 154 |
Release | : 2014-10-08 |
Genre | : Technology & Engineering |
ISBN | : 9783709130056 |
Download Stability and Wave Propagation in Fluids and Solids Book in PDF, ePub and Kindle
The content of the volume is constituted by four articles. The first concerns the theory of propagation of plane waves in elastic media. The second treats theoretically the linear, weakly non-linear, and non-linear stability of flows of a viscous incompressible fluid in a diverging channel. The third lecture investigates the mathematical properties of the equations governing the motion of a viscous incompressible second-grade fluid, such as existence, uniqueness of classical solutions and stability of steady-state flows. The last lecture provides some basic results on wave propagation in continuum models. The objective of this book is to emphasize and to compare the various aspects of interest which include the necessary mathematical background, constitutive theories for material of differential type, polarized and shock waves, and second sound in solids at low temperatures.
Author | : Giacomo Caviglia |
Publisher | : World Scientific |
Total Pages | : 328 |
Release | : 1992 |
Genre | : Science |
ISBN | : 9789810208042 |
Download Inhomogeneous Waves in Solids and Fluids Book in PDF, ePub and Kindle
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 | : International Centre for Mechanical Sciences |
Publisher | : Springer |
Total Pages | : 168 |
Release | : 1995-04-06 |
Genre | : Mathematics |
ISBN | : |
Download Stability and Wave Propagation in Fluids and Solids Book in PDF, ePub and Kindle
The content of the volume is constituted by four articles. The first concerns the theory of propagation of plane waves in elastic media. The second treats theoretically the linear, weakly non-linear, and non-linear stability of flows of a viscous incompressible fluid in a diverging channel. The third lecture investigates the mathematical properties of the equations governing the motion of a viscous incompressible second-grade fluid, such as existence, uniqueness of classical solutions and stability of steady-state flows. The last lecture provides some basic results on wave propagation in continuum models. The objective of this book is to emphasize and to compare the various aspects of interest which include the necessary mathematical background, constitutive theories for material of differential type, polarized and shock waves, and second sound in solids at low temperatures.
Author | : Gary Mavko |
Publisher | : Cambridge University Press |
Total Pages | : 741 |
Release | : 2020-01-09 |
Genre | : Business & Economics |
ISBN | : 1108420265 |
Download The Rock Physics Handbook Book in PDF, ePub and Kindle
Brings together widely scattered theoretical and laboratory rock physics relations critical for modelling and interpretation of geophysical data.
Author | : Lee Davison |
Publisher | : Springer Science & Business Media |
Total Pages | : 439 |
Release | : 2008-04-24 |
Genre | : Science |
ISBN | : 3540745696 |
Download Fundamentals of Shock Wave Propagation in Solids Book in PDF, ePub and Kindle
My intent in writing this book is to present an introduction to the thermo- chanical theory required to conduct research and pursue applications of shock physics in solid materials. Emphasis is on the range of moderate compression that can be produced by high-velocity impact or detonation of chemical exp- sives and in which elastoplastic responses are observed and simple equations of state are applicable. In the interest of simplicity, the presentation is restricted to plane waves producing uniaxial deformation. Although applications often - volve complex multidimensional deformation fields it is necessary to begin with the simpler case. This is also the most important case because it is the usual setting of experimental research. The presentation is also restricted to theories of material response that are simple enough to permit illustrative problems to be solved with minimal recourse to numerical analysis. The discussions are set in the context of established continuum-mechanical principles. I have endeavored to define the quantities encountered with some care and to provide equations in several convenient forms and in a way that lends itself to easy reference. Thermodynamic analysis plays an important role in continuum mechanics, and I have included a presentation of aspects of this subject that are particularly relevant to shock physics. The notation adopted is that conventional in expositions of modern continuum mechanics, insofar as possible, and variables are explained as they are encountered. Those experienced in shock physics may find some of the notation unconventional.
Author | : R. J. Atkin |
Publisher | : |
Total Pages | : |
Release | : 1967 |
Genre | : Elastic solids |
ISBN | : |
Download Wave Propagation in Elastic Solids and Solid-fluid Mixtures Book in PDF, ePub and Kindle
Author | : J. D. Achenbach |
Publisher | : Elsevier |
Total Pages | : 440 |
Release | : 2016-01-21 |
Genre | : Science |
ISBN | : 1483163733 |
Download Wave Propagation in Elastic Solids Book in PDF, ePub and Kindle
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.