Introduction To Wave Propagation In Nonlinear Fluids And Solids

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Introduction to Wave Propagation in Nonlinear Fluids and Solids

Douglas S. Drumheller
Introduction to Wave Propagation in Nonlinear Fluids and Solids Book PDF

Author : Douglas S. Drumheller
Publisher : Cambridge University Press
Page : 536 pages
File Size : 41,8 Mb
Release : 1998-02-13
Category : Technology & Engineering
ISBN : 0521583136

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Introduction to Wave Propagation in Nonlinear Fluids and Solids by Douglas S. Drumheller Pdf

Waves occur widely in nature and have innumerable commercial uses. Waves are responsible for the sound of speech, meteors igniting the atmosphere, radio and television broadcasting, medical diagnosis using ultrasound. 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 for a variety of gases, liquids, and solids. Among the important areas of research and application are impact analysis, shock wave research, explosive detonation, nonlinear acoustics, and hypersonic aerodynamics. Students at an advanced undergraduate/graduate level will find this text a clear and comprehensive introduction to the study of nonlinear wave phenomena, and it will also be valuable as a professional reference in engineering and applied physics.

Introduction to Wave Propagation in Nonlinear Fluids and Solids

D. S. Drumheller
Introduction to Wave Propagation in Nonlinear Fluids and Solids Book PDF

Author : D. S. Drumheller
Publisher : Cambridge University Press
Page : 546 pages
File Size : 45,8 Mb
Release : 1998-02-13
Category : Science
ISBN : 0521587468

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Introduction to Wave Propagation in Nonlinear Fluids and Solids by D. S. Drumheller Pdf

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.

Wave Propagation in Solids and Fluids

Julian L. Davis
Wave Propagation in Solids and Fluids Book PDF

Author : Julian L. Davis
Publisher : Springer Science & Business Media
Page : 396 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461238867

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Wave Propagation in Solids and Fluids by Julian L. Davis Pdf

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.

Fundamentals of Shock Wave Propagation in Solids

Lee Davison
Fundamentals of Shock Wave Propagation in Solids Book PDF

Author : Lee Davison
Publisher : Springer Science & Business Media
Page : 439 pages
File Size : 48,8 Mb
Release : 2008-04-24
Category : Science
ISBN : 9783540745693

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Fundamentals of Shock Wave Propagation in Solids by Lee Davison Pdf

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.

Stability and Wave Propagation in Fluids and Solids

Giovanni Galdi
Stability and Wave Propagation in Fluids and Solids Book PDF

Author : Giovanni Galdi
Publisher : Springer
Page : 159 pages
File Size : 53,9 Mb
Release : 2014-05-04
Category : Technology & Engineering
ISBN : 9783709130049

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Stability and Wave Propagation in Fluids and Solids by Giovanni Galdi Pdf

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.

Introduction to Elastic Wave Propagation

Anthony Bedford,Douglas S. Drumheller
Introduction to Elastic Wave Propagation Book PDF

Author : Anthony Bedford,Douglas S. Drumheller
Publisher : Springer Nature
Page : 388 pages
File Size : 44,8 Mb
Release : 2023-11-05
Category : Technology & Engineering
ISBN : 9783031328756

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Introduction to Elastic Wave Propagation by Anthony Bedford,Douglas S. Drumheller Pdf

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.

Introduction to Nonlinear Fluid-Plasma Waves

B.K Shivamoggi
Introduction to Nonlinear Fluid Plasma Waves Book PDF

Author : B.K Shivamoggi
Publisher : Springer Science & Business Media
Page : 213 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400927728

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Introduction to Nonlinear Fluid-Plasma Waves by B.K Shivamoggi Pdf

A variety of nonlinear effects occur in a plasma. First, there are the wave steepening effects which can occur in any fluid in which the propagation speed depends upon the wave-amplitude. In a dispersive medium this can lead to classes of nonlinear waves which may have stationary solutions like solitons and shocks. Because the plasma also acts like an inherently nonlinear dielectric resonant interactions among waves lead to exchange of energy among them. Further, an electromagnetic wave interacting with a plasma may parametrically excite other waves in the plasma. A large-amplitude Langmuir wave undergoes a modulational instability which arises through local depressions in plasma density and the corresponding increases in the energy density of the wave electric field. Whereas a field collapse occurs in two and three dimensions, in a one-dimensional case, spatially localized stationary field structures called Langmuir solitons can result. Many other plasma waves like upper-hybrid waves, lower-hybrid waves etc. can also undergo a modulational instability and produce localized field structures. A new type of nonlinear effect comes into play when an electromagnetic wave propagating through a plasma is strong enough to drive the electrons to relativistic speeds. This leads to a propagation of an electromagnetic wave in a normally overdense plasma, and the coupling of the electromagnetic wave to a Langmuir wave in the plasma. The relativistic mass variation of the electrons moving in an intense electromagnetic wave can also lead to a modulational instability of the latter.

Linear And Nonlinear Wave Propagation

Spencer P Kuo
Linear And Nonlinear Wave Propagation Book PDF

Author : Spencer P Kuo
Publisher : World Scientific
Page : 206 pages
File Size : 46,9 Mb
Release : 2021-04-16
Category : Science
ISBN : 9789811231650

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Linear And Nonlinear Wave Propagation by Spencer P Kuo Pdf

Waves are essential phenomena in most scientific and engineering disciplines, such as electromagnetism and optics, and different mechanics including fluid, solid, structural, quantum, etc. They appear in linear and nonlinear systems. Some can be observed directly and others are not. The features of the waves are usually described by solutions to either linear or nonlinear partial differential equations, which are fundamental to the students and researchers.Generic equations, describing wave and pulse propagation in linear and nonlinear systems, are introduced and analyzed as initial/boundary value problems. These systems cover the general properties of non-dispersive and dispersive, uniform and non-uniform, with/without dissipations. Methods of analyses are introduced and illustrated with analytical solutions. Wave-wave and wave-particle interactions ascribed to the nonlinearity of media (such as plasma) are discussed in the final chapter.This interdisciplinary textbook is essential reading for anyone in above mentioned disciplines. It was prepared to provide students with an understanding of waves and methods of solving wave propagation problems. The presentation is self-contained and should be read without difficulty by those who have adequate preparation in classic mechanics. The selection of topics and the focus given to each provide essential materials for a lecturer to cover the bases in a linear/nonlinear wave course.

Analytical and Numerical Methods for Wave Propagation in Fluid Media

K. Murawski
Analytical and Numerical Methods for Wave Propagation in Fluid Media Book PDF

Author : K. Murawski
Publisher : World Scientific
Page : 260 pages
File Size : 45,8 Mb
Release : 2002
Category : Science
ISBN : 981277663X

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Analytical and Numerical Methods for Wave Propagation in Fluid Media by K. Murawski Pdf

This book surveys analytical and numerical techniques appropriate to the description of fluid motion with an emphasis on the most widely used techniques exhibiting the best performance.Analytical and numerical solutions to hyperbolic systems of wave equations are the primary focus of the book. In addition, many interesting wave phenomena in fluids are considered using examples such as acoustic waves, the emission of air pollutants, magnetohydrodynamic waves in the solar corona, solar wind interaction with the planet venus, and ion-acoustic solitons.

Selected Topics in Nonlinear Wave Mechanics

C.I. Christov,Arde Guran
Selected Topics in Nonlinear Wave Mechanics Book PDF

Author : C.I. Christov,Arde Guran
Publisher : Springer Science & Business Media
Page : 274 pages
File Size : 49,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461200956

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Selected Topics in Nonlinear Wave Mechanics by C.I. Christov,Arde Guran Pdf

This book gives an overview ofthe current state of nonlinear wave mechanics with emphasis on strong discontinuities (shock waves) and localized self preserving shapes (solitons) in both elastic and fluid media. The exposition is intentionallyat a detailed mathematical and physical level, our expectation being that the reader will enjoy coming to grips in a concrete manner with advances in this fascinating subject. Historically, modern research in nonlinear wave mechanics began with the famous 1858 piston problem paper of Riemann on shock waves and con tinued into the early part of the last century with the work of Hadamard, Rankine, and Hugoniot. After WWII, research into nonlinear propagation of dispersive waves rapidly accelerated with the advent of computers. Works of particular importance in the immediate post-war years include those of von Neumann, Fermi, and Lax. Later, additional contributions were made by Lighthill, Glimm, Strauss, Wendroff, and Bishop. Dispersion alone leads to shock fronts of the propagating waves. That the nonlinearity can com pensate for the dispersion, leading to propagation with a stable wave having constant velocity and shape (solitons) came as a surprise. A solitary wave was first discussed by J. Scott Russell in 1845 in "Report of British Asso ciations for the Advancement of Science. " He had, while horseback riding, observed a solitary wave travelling along a water channel and followed its unbroken progress for over a mile.

Ray Methods for Nonlinear Waves in Fluids and Plasmas

Marcelo Anile,P Pantano,G Russo,J Hunter
Ray Methods for Nonlinear Waves in Fluids and Plasmas Book PDF

Author : Marcelo Anile,P Pantano,G Russo,J Hunter
Publisher : CRC Press
Page : 268 pages
File Size : 42,7 Mb
Release : 2021-06-24
Category : Mathematics
ISBN : 9781000447583

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Ray Methods for Nonlinear Waves in Fluids and Plasmas by Marcelo Anile,P Pantano,G Russo,J Hunter Pdf

Presents in a systematic and unified manner the ray method, in its various forms, for studying nonlinear wave propagation in situations of physical interest, essentially fluid dynamics and plasma physics.

Nonlinear Elastic Waves in Materials

Jeremiah J. Rushchitsky
Nonlinear Elastic Waves in Materials Book PDF

Author : Jeremiah J. Rushchitsky
Publisher : Springer Science & Business
Page : 440 pages
File Size : 54,8 Mb
Release : 2014-04-23
Category : Science
ISBN : 9783319004648

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Nonlinear Elastic Waves in Materials by Jeremiah J. Rushchitsky Pdf

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.

Introduction to Hydrocodes

Jonas Zukas
Introduction to Hydrocodes Book PDF

Author : Jonas Zukas
Publisher : Elsevier
Page : 326 pages
File Size : 51,8 Mb
Release : 2004-01-20
Category : Science
ISBN : 0080535011

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Introduction to Hydrocodes by Jonas Zukas Pdf

A hydrocode refers to a computer program used for the study of the dynamic response of materials and structures to impulse (primary blast), impact (involving everything from car and aircraft collisions to impacts of space structures by assorted debris). The understanding of hydrocodes requires knowledge of numerical methods in the code as well as a keen understanding of the physics of the problem being addressed. This can take many years to learn via codes. There are currently a number of titles addressing the physics of high pressure and high rate material but nothing introducing the novice to the fundamentals of this highly technical and complicated study. Introduction to Hydrocodes bridges the gap, bringing together the large body of literature, scattered through diverse journals, government and corporate reports and conference proceedings. As valuable as the text are the cited references and the combination will take years off the preparation time of future code users. Introduces complex physics essential for the understanding of hydrocodes Infused with over 30 years practical experience in the field Brings together a wide range of literature saving valuable research time

Computational Science and Its Applications - ICCSA 2008

Osvaldo Gervasi,Beniamino Murgante,Antonio Laganà,David Taniar,Youngsong Mun
Computational Science and Its Applications ICCSA 2008 Book PDF

Author : Osvaldo Gervasi,Beniamino Murgante,Antonio Laganà,David Taniar,Youngsong Mun
Publisher : Springer
Page : 1268 pages
File Size : 53,7 Mb
Release : 2008-06-28
Category : Computers
ISBN : 9783540698395

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Computational Science and Its Applications - ICCSA 2008 by Osvaldo Gervasi,Beniamino Murgante,Antonio Laganà,David Taniar,Youngsong Mun Pdf

This two-volume set is assembled following the 2008 International Conference on Computational Science and Its Applications, ICCSA 2008, a premium int- national event held in Perugia, Italy, from June 30 to July 3, 2008. The collection of fully refereed high-quality original works accepted as theme papers for presentation at ICCSA 2008 are published in this LNCS proceedings set. This outstanding collection complements the volume of workshop papers, traditionally published by IEEE Computer Society. The continuous support of computational science researchers has helped ICCSA to become a ?rmly established forum in the area of scienti?c computing and the conference itself become a recurring scienti?c and professional meeting that cannot be given up. The computational science ?eld, based on fundamental disciplines such as mathematics, physics, and chemistry, is ?nding new computational approaches to foster the human progress in heterogeneous and fundamental areas such as aerospace and automotive industries, bioinformatics and nanotechnology studies, networks and grid computing, computational geometry and biometrics, computer education, virtual reality, and art. Due to the growing complexity of many ch- lenges in computational science, the use of sophisticated algorithms and eme- ing technologies is inevitable. Together, these far-reaching scienti?c areas help to shape this conference in the areas of state-of-the-art computational science research and applications, encompassing the facilitating theoretical foundations and the innovative applications of such results in other areas.

Wavelet and Wave Analysis as Applied to Materials with Micro Or Nanostructure

Carlo Cattani
Wavelet and Wave Analysis as Applied to Materials with Micro Or Nanostructure Book PDF

Author : Carlo Cattani
Publisher : World Scientific
Page : 473 pages
File Size : 55,8 Mb
Release : 2007
Category : Mathematics
ISBN : 9789812709769

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Wavelet and Wave Analysis as Applied to Materials with Micro Or Nanostructure by Carlo Cattani Pdf

This seminal book unites three different areas of modern science: the micromechanics and nanomechanics of composite materials; wavelet analysis as applied to physical problems; and the propagation of a new type of solitary wave in composite materials, nonlinear waves. Each of the three areas is described in a simple and understandable form, focusing on the many perspectives of the links among the three. All of the techniques and procedures are described here in the clearest and most open form, enabling the reader to quickly learn and use them when faced with the new and more advanced problems that are proposed in this book. By combining these new scientific concepts into a unitary model and enlightening readers on this pioneering field of research, readers will hopefully be inspired to explore the more advanced aspects of this promising scientific direction. The application of wavelet analysis to nanomaterials and waves in nanocomposites can be very appealing to both specialists working on theoretical developments in wavelets as well as specialists applying these methods and experiments in the mechanics of materials. Sample Chapter(s). Chapter 1: Introduction (121 KB). Contents: Wavelet Analysis; Materials with Micro- or Nanostructure; Waves in Materials; Simple and Solitary Waves in Materials; Solitary Waves and Elastic Waves. Readership: Advanced undergraduate and graduate students as well as experts in mathematical modeling, engineering mechanics and mechanics, physics; specialists in wavelet and wave analysis as tools for mathematical modeling.