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Author : Michael M Carroll
Publisher :
ISBN 13 : 9781461303305
Total Pages : 388 pages
Book Rating : 4.3/5 (33 download)
Download or read book Nonlinear Effects in Fluids and Solids written by Michael M Carroll and published by . This book was released on 1996-05-31 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael M. Carroll
Publisher : Springer Science & Business Media
ISBN 13 : 146130329X
Total Pages : 372 pages
Book Rating : 4.4/5 (613 download)
Download or read book Nonlinear Effects in Fluids and Solids written by Michael M. Carroll and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of scientific papers is dedicated with gratitude and esteem to Ronald Rivlin and is offered as a token of appreciation by former students, col laborators, and friends. Ronald Rivlin's name is synonymous with modem developments in contin uum mechanics. His outstanding pioneering theoretical and experimental re ·search in finite elasticity is a landmark. From his work there has followed a spate of developments in which he played the leading role-the theory of fiber-rein forced materials, the developments of the theory of constitutive equations, the theory of materials with memory, the theory of the fracture of elastomers, the theory of viscoelastic fluids and solids, the development of nonlinear crystal physics, the theory of small deformations superimposed on large, and the effect of large initial strain on wave propagation. It is in Rivlin's work that universal relations were first recognized. Here also are to be found lucid explanations of physical phenomena such as the Poynting effect for elastic rods in torsion. Addi tionally, he and his co-workers predicted the presence of secondary flows for viscoelastic fluids in straight pipes of noncircular cross section under a uniform pressure head. While some others may have displayed a cavalier lack of concern for physical reality and an intoxication with mathematical idiom, Rivlin has al ways been concerned with genuine mathematical and physical content. All of his papers contain interesting and illuminating material-and may be read with profit by anyone interested in continuum mechanics.
Author : A. Jeffrey
Publisher : Springer
ISBN 13 : 3709124441
Total Pages : 385 pages
Book Rating : 4.7/5 (91 download)
Download or read book Nonlinear Waves in Solids written by A. Jeffrey and published by Springer. This book was released on 2014-05-04 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Travelling wave processes and wave motion are of great importance in many areas of mechanics, and nonlinearity also plays a decisive role there. The basic mathematical models in this area involve nonlinear partial differential equations, and predictability of behaviour of wave phenomena is of great importance. Beside fluid dynamics and gas dynamics, which have long been the traditional nonlinear scienes, solid mechanics is now taking an ever increasing account of nonlinear effects. Apart from plasticity and fracture mechanics, nonlinear elastic waves have been shown to be of great importance in many areas, such as the study of impact, nondestructive testing and seismology. These lectures offer a thorough account of the fundamental theory of nonlinear deformation waves, and in the process offer an up to date account of the current state of research in the theory and practice of nonlinear waves in solids.
Author : P. Cordero
Publisher : Elsevier
ISBN 13 : 0444598790
Total Pages : 495 pages
Book Rating : 4.4/5 (445 download)
Download or read book Nonlinear Phenomena in Fluids, Solids and other Complex Systems written by P. Cordero and published by Elsevier. This book was released on 2012-12-02 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains short courses in current topics in nonlinear physics given by distinguished professionals in their fields. These include: nonlinear fluid dynamics, transition to turbulence, quantum hall effect, cellular automata and neural networks, phase transitions. These courses are up to date and are aimed at a wide audience, in particular to graduate students and researchers in the field of nonlinear physics.
Author : Harry Thomas
Publisher : Springer Science & Business Media
ISBN 13 : 3642956505
Total Pages : 249 pages
Book Rating : 4.6/5 (429 download)
Download or read book Nonlinear Dynamics in Solids written by Harry Thomas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the notes of lectures given at the school on "Nonlinear Dy namics in Solids" held at the Physikzentrum Bad Honnef, 2-6 October 1989 under the patronage of the Deutsche Physikalische Gesellschaft. Nonlinear dynamics has become a highly active research area, owing to many interesting developments during the last three decades in the theoretical analysis of dynamical processes in both Hamiltonian and dissipative systems. Research has been focused on a variety of problems, such as the characteristics of regular and chaotic motion in Hamiltonian dynamics, the problem of quantum chaos, the forma tion and properties of solitary spatio-temporal structures, the occurrence of strange attractors in dissipative systems, and the bifurcation scenarios leading to complex time behaviour. Until recently, predictions of the theory have been tested predominantly on insta bilities in hydrodynamic systems, where many interesting experiments have provided valuable input and have led to a fruitful interaction between experiment and theory. Fluid systems are certainly good candidates for performing clean experiments free from disturbing influences: with fluids, compared to solids, it is simpler to prepare good samples, the relevant length and time scales are in easily accessible ranges, and it is possible to do measurements "inside" the fluid, because it can be filled in after the construction of the apparatus. Further, the theory describing the macroscopic dynamics of fluids is well established and contains only very few parameters, all of which have well-known values.
Author : D. S. Drumheller
Publisher : Cambridge University Press
ISBN 13 : 9780521587464
Total Pages : 546 pages
Book Rating : 4.5/5 (874 download)
Download or read book Introduction to Wave Propagation in Nonlinear Fluids and Solids written by D. S. Drumheller and published by Cambridge University Press. This book was released on 1998-02-13 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Julian L. Davis
Publisher : Springer Science & Business Media
ISBN 13 : 1461238862
Total Pages : 396 pages
Book Rating : 4.4/5 (612 download)
Download or read book Wave Propagation in Solids and Fluids written by Julian L. Davis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Rozmus W
Publisher : #N/A
ISBN 13 : 9814569798
Total Pages : 640 pages
Book Rating : 4.8/5 (145 download)
Download or read book Nonlinear And Chaotic Phenomena In Plasmas, Solids And Fluids - Proceedings Of The Conference written by Rozmus W and published by #N/A. This book was released on 1991-07-22 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Oluwole Daniel Makinde
Publisher : Trans Tech Publications Ltd
ISBN 13 : 3035732825
Total Pages : 220 pages
Book Rating : 4.0/5 (357 download)
Download or read book Advances in Nonlinear Heat Transfer in Fluids and Solids written by Oluwole Daniel Makinde and published by Trans Tech Publications Ltd. This book was released on 2017-08-31 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The special issue on Advances in Nonlinear Heat Transfer in Fluids and Solids of the journal Diffusion Foundations present a number of novel computational modelling of various nonlinear heat transfer in solids and fluid flow problems. Reported articles in this special issue cover solids thermal stability, reactive fluid flow, nanofluids dynamics, magnetohydrodynamics, Newtonian and non-Newtonian fluid flow, natural convection, forced convection, mixed convection, porous media flow and thermal radiation absorption effects. We hope that this special issue will inspire and benefit eclectic audience of academics, researchers and engineers from numerous fields of human endeavours.
Author : S. Krenk
Publisher : Cambridge University Press
ISBN 13 : 0521830540
Total Pages : 361 pages
Book Rating : 4.5/5 (218 download)
Download or read book Non-linear Modeling and Analysis of Solids and Structures written by S. Krenk and published by Cambridge University Press. This book was released on 2009-08-06 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite element analysis for non-linear solids and structure porblems.
Author :
Publisher :
ISBN 13 :
Total Pages : 625 pages
Book Rating : 4.:/5 (229 download)
Download or read book Nonlinear and Chaotic Phenomena in Plasmas, Solids and Fluids written by and published by . This book was released on 1991 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Julian L. Davis
Publisher : Springer Science & Business Media
ISBN 13 : 1461232848
Total Pages : 303 pages
Book Rating : 4.4/5 (612 download)
Download or read book Wave Propagation in Electromagnetic Media written by Julian L. Davis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Patricio Cordero
Publisher : North Holland
ISBN 13 :
Total Pages : 504 pages
Book Rating : 4.:/5 (45 download)
Download or read book Nonlinear Phenomena in Fluids, Solids, and Other Complex Systems written by Patricio Cordero and published by North Holland. This book was released on 1991 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains short courses in current topics in nonlinear physics given by distinguished professionals in their fields. These include: nonlinear fluid dynamics, transition to turbulence, quantum hall effect, cellular automata and neural networks, phase transitions. These courses are up to date and are aimed at a wide audience, in particular to graduate students and researchers in the field of nonlinear physics.
Author : K.J. Bathe
Publisher : Elsevier
ISBN 13 : 0080552811
Total Pages : 975 pages
Book Rating : 4.0/5 (85 download)
Download or read book Computational Fluid and Solid Mechanics written by K.J. Bathe and published by Elsevier. This book was released on 2001-05-21 with total page 975 pages. Available in PDF, EPUB and Kindle. Book excerpt: The MIT mission - "to bring together Industry and Academia and to nurture the next generation in computational mechanics is of great importance to reach the new level of mathematical modeling and numerical solution and to provide an exciting research environment for the next generation in computational mechanics." Mathematical modeling and numerical solution is today firmly established in science and engineering. Research conducted in almost all branches of scientific investigations and the design of systems in practically all disciplines of engineering can not be pursued effectively without, frequently, intensive analysis based on numerical computations.The world we live in has been classified by the human mind, for descriptive and analysis purposes, to consist of fluids and solids, continua and molecules; and the analyses of fluids and solids at the continuum and molecular scales have traditionally been pursued separately. Fundamentally, however, there are only molecules and particles for any material that interact on the microscopic and macroscopic scales. Therefore, to unify the analysis of physical systems and to reach a deeper understanding of the behavior of nature in scientific investigations, and of the behavior of designs in engineering endeavors, a new level of analysis is necessary. This new level of mathematical modeling and numerical solution does not merely involve the analysis of a single medium but must encompass the solution of multi-physics problems involving fluids, solids, and their interactions, involving multi-scale phenomena from the molecular to the macroscopic scales, and must include uncertainties in the given data and the solution results. Nature does not distinguish between fluids and solids and does not ever repeat itself exactly.This new level of analysis must also include, in engineering, the effective optimization of systems, and the modeling and analysis of complete life spans of engineering products, from design to fabrication, to possibly multiple repairs, to end of service.
Author : A.I. Leonov
Publisher : Springer
ISBN 13 : 0412582007
Total Pages : 475 pages
Book Rating : 4.4/5 (125 download)
Download or read book Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids written by A.I. Leonov and published by Springer. This book was released on 1994-04-30 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents theoretical and experimental studies of flows of elastic liquids. Falling into this category are particularly the melts and concentrated solutions of such flexible-chain polymers as polyethylene, polyisobutylene and polypropylene, all of which are widely used in polymer processing. These polydisperse polymers vary greatly, from batch to batch, in their mechanical properties and 20% variation in a property is believed to be good enough. l 7 All recent books - devoted to the rheology of polymers do not answer the question of which constitutive equations should be used for solving the fluid mechanic problems of polymer processing in the usual case of an appreciable nonlinear region of deformation where nonlinear effects of shear and extensional elasticity are very important. Viscoelastic constitut ive equations cited commonly (see, e.g. Refs 5 and 6) do not describe simultaneously even the simplest cases of deformations, viz. simple shear and uniaxial extension. Moreover, some of them are internally inconsist ent and sometimes display highly unstable behaviour in simple flows without any fundamental reasons. Even more respected molecular ap free from these defects.
Author : Roger Grimshaw
Publisher : Springer Science & Business Media
ISBN 13 : 3211380256
Total Pages : 202 pages
Book Rating : 4.2/5 (113 download)
Download or read book Nonlinear Waves in Fluids: Recent Advances and Modern Applications written by Roger Grimshaw and published by Springer Science & Business Media. This book was released on 2007-03-23 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although nonlinear waves occur in nearly all branches of physics and engi neering, there is an amazing degree of agreement about the fundamental con cepts and the basic paradigms. The underlying unity of the theory for linearized waves is already well-established, with the importance of such universal concepts as group velocity and wave superposition. For nonlinear waves the last few decades have seen the emergence of analogous unifying comcepts. The pervasiveness of the soliton concept is amply demonstrated by the ubiquity of such models as the Korteweg-de Vries equation and the nonlinear Schrodinger equation. Similarly, there is a universality in the study of wave-wave interactions, whether determin istic or statistical, and in the recent developments in the theory of wave-mean flow interactions. The aim of this text is to present the basic paradigms of weakly nonlinear waves in fluids. This book is the outcome of a CISM Summer School held at Udine from September 20-24, 2004. . Like the lectures given there the text covers asymptotic methods for the derivation of canonical evolution equations, such as the Kortew- de Vries and nonlinear Schrodinger equations, descriptions of the basic solution sets of these evolution equations, and the most relevant and compelling applica tions. These themes are interlocked, and this will be demonstrated throughout the text . The topics address any fluid flow application, but there is a bias towards geophysical fluid dynamics, reflecting for the most part the areas where many applications have been found.
Author : OV Abramov
Publisher : Routledge
ISBN 13 : 1351440780
Total Pages : 700 pages
Book Rating : 4.3/5 (514 download)
Download or read book High-Intensity Ultrasonics written by OV Abramov and published by Routledge. This book was released on 2019-06-21 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive description of the theory and physics of high-intensity ultrasound, as well as dealing with a wide range of problems associated with the industrial applications of ultrasound, mainly in the areas of metallurgy and mineral processing. The book is divided into three sections, with Part I introducing the reader to the theory and physics of high-intensity ultrasound. Topics in this section include the propagation of ultrasound in liquid media and related nonlinear phenomena, metal crystallization in an ultrasonic field, ultrasound propagation in solids, alterations in dislocational structure, and ultrasonic effects on solidified metal. In Part II the design of ultrasonic generators, mechanoacoustic radiators and other vibrational systems is considered, as well as the control of acoustic parameters when vibrations are passed into a processed medium. Part lll describes problems associated with various uses of high-intensity ultrasound in metallurgy, for example ore dressing or producing powders and cast composites. The applications of high-intensity ultrasound for metal shaping, thermal and thermochemical treatment, welding, cutting, refining, and surface hardening are also discussed here. This comprehensive monograph provides an invaluable source of information, which has been largely unavailable in the West until now. The author is very well known and respected internationally within the field of ultrasonics.
