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Nonlinear Wave Processes Of Deformation In Solids
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Book Synopsis Wave Processes in Solids with Microstructure by : Vladimir I. Erofeyev
Download or read book Wave Processes in Solids with Microstructure written by Vladimir I. Erofeyev and published by World Scientific. This book was released on 2003 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave Processes in Solids with Microstructure is useful for undergraduates, graduate students, researchers and practitioners in the mechanics of solids as well as in physical and technical acoustics.
Book Synopsis Nonlinear Waves in Solids by : A. Jeffrey
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.
Book Synopsis Amplification Of Nonlinear Strain Waves In Solids by : Alexey V Porubov
Download or read book Amplification Of Nonlinear Strain Waves In Solids written by Alexey V Porubov and published by World Scientific. This book was released on 2003-07-07 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats two problems simultaneously: sequential analytical consideration of nonlinear strain wave amplification and selection in wave guides and in a medium; demonstration of the use of even particular analytical solutions to nonintegrable equations in a design of numerical simulation of unsteady nonlinear wave processes. The text includes numerous detailed examples of the strain wave amplification and selection caused by the influence of an external medium, microstructure, moving point defects, and thermal phenomena. The main features of the book are: (1) nonlinear models of the strain wave evolution in a rod subjected by various dissipative/active factors; (2) an analytico-numerical approach for solutions to the governing nonlinear partial differential equations with dispersion and dissipation.This book is essential for introducing readers in mechanics, mechanical engineering, and applied mathematics to the concept of long nonlinear strain wave in one-dimensional wave guides. It is also suitable for self-study by professionals in all areas of nonlinear physics.
Book Synopsis Nonlinear Wave Processes of Deformation in Solids by : Jüri Engelbrecht
Download or read book Nonlinear Wave Processes of Deformation in Solids written by Jüri Engelbrecht and published by Pitman Advanced Publishing Program. This book was released on 1983 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Wave Processes of Deformation Solids by : J. Engelbrecht
Download or read book Nonlinear Wave Processes of Deformation Solids written by J. Engelbrecht and published by Halsted Press. This book was released on 1986-05-01 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Selected Topics in Nonlinear Wave Mechanics by : C.I. Christov
Download or read book Selected Topics in Nonlinear Wave Mechanics written by C.I. Christov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mechanics of Microstructured Solids by : J.-F. Ganghoffer
Download or read book Mechanics of Microstructured Solids written by J.-F. Ganghoffer and published by Springer Science & Business Media. This book was released on 2009-05-14 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a compendium of reviewed articles presented at the 11th EUROMECH-MECAMAT conference entitled, "Mechancis of microstructured solids: cellular materials, fibre reinforced solids and soft tissues." It provides all the latest information in the field.
Book Synopsis Proceedings of the Estonian Academy of Sciences, Engineering by :
Download or read book Proceedings of the Estonian Academy of Sciences, Engineering written by and published by . This book was released on 2000-09 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Waves in Elastic Media by : A.G. Kulikovskii
Download or read book Nonlinear Waves in Elastic Media written by A.G. Kulikovskii and published by CRC Press. This book was released on 1995-08-31 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Waves in Elastic Media explores the theoretical results of one-dimensional nonlinear waves, including shock waves, in elastic media. It is the first book to provide an in-depth and comprehensive presentation of the nonlinear wave theory while taking anisotropy effects into account. The theory is completely worked out and draws on 15 years of research by the authors, one of whom also wrote the 1965 classic Magnetohydrodynamics. Nonlinear Waves in Elastic Media emphasizes the behavior of quasitransverse waves and analyzes arbitrary discontinuity disintegration problems, illustrating that the solution can be non-unique - a surprising result. The solution is shown to be especially interesting when anisotropy and nonlinearity effects interact, even in small-amplitude waves. In addition, the text contains an independent mathematical chapter describing general methods to study hyperbolic systems expressing the conservation laws. The theoretical results described in Nonlinear Waves in Elastic Media allow, for the first time, discovery and interpretation of many new peculiarities inherent to the general problem of discontinuous solutions and so provide a valuable resource for advanced students and researchers involved with continuum mechanics and partial differential equations.
Book Synopsis Nonlinear Waves in Elastic Crystals by : Gérard A. Maugin
Download or read book Nonlinear Waves in Elastic Crystals written by Gérard A. Maugin and published by . This book was released on 1999 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical modelling of changing structures in materials is of increasing importance to industry where applications of the theory are found in subjects as diverse as aerospace and medicine. This book deals with aspects of the nonlinear dynamics of deformable ordered solids (known as elastic crystals) where the nonlinear effects combine or compete with each other. Physical and mathematical models are discused and computational aspects are also included. Different models are considered - on discrete as well as continuum scales - applying heat, electricity, or magnetism to the crystal structure and these are analysed using the equations of rational mechanics. Students are introduced to the important equations of nonlinear science that describe shock waves, solitons and chaos and also the non-exactly integrable systems or partial differential equations. A large number of problems and examples are included, many taken from recent research and involving both one-dimensional and two-dimensional problems as well as some coupled degress of freedom.
Book Synopsis Introduction to Wave Propagation in Nonlinear Fluids and Solids by : D. S. Drumheller
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.
Book Synopsis Strain Solitons in Solids and How to Construct Them by : Alexander M. Samsonov
Download or read book Strain Solitons in Solids and How to Construct Them written by Alexander M. Samsonov and published by CRC Press. This book was released on 2001-01-18 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the theory behind solitary waves of strain shows that they hold significant promise in nondestructive testing and a variety of other applications, an enigma has long persisted-the absence of observable elastic solitary waves in practice. Inspired by this apparent contradiction, Strain Solitons in Solids and How to Construct Them refines th
Book Synopsis Nonlinear Acoustic Waves in Micro-inhomogeneous Solids by : Veniamin Nazarov
Download or read book Nonlinear Acoustic Waves in Micro-inhomogeneous Solids written by Veniamin Nazarov and published by John Wiley & Sons. This book was released on 2015-01-27 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Acoustic Waves in Micro-inhomogeneous Solids covers the broad and dynamic branch of nonlinear acoustics, presenting a wide variety of different phenomena from both experimental and theoretical perspectives. The introductory chapters, written in the style of graduate-level textbook, present a review of the main achievements of classic nonlinear acoustics of homogeneous media. This enables readers to gain insight into nonlinear wave processes in homogeneous and micro-inhomogeneous solids and compare it within the framework of the book. The subsequent eight chapters covering: Physical models and mechanisms of the structure nonlinearity of micro-inhomogeneous media with cracks and cavities; Elastic waves in media with strong acoustic nonlinearity; Wave processes in micro-inhomogeneous media with hysteretic nonlinearity; Wave processes in nonlinear micro-inhomogeneous media with relaxation; Wave processes in the polycrystalline solids with dissipative and elastic nonlinearity caused by dislocations; Experimental studies of the nonlinear acoustic phenomena in polycrystalline rocks and metals; Experimental studies of nonlinear acoustic phenomena in granular media; and Nonlinear phenomena in seismic waves are dedicated to the theoretical and experimental research of nonlinear processes, caused by longitudinal elastic waves propagation and interaction in the micro-inhomogeneous media with a strong acoustical nonlinearity of different types (elastic, hysteretic, bimodular, elastic quadratic and non-elastic). This valuable monograph is intended for graduate students and researchers in applied physics, mechanical engineering, and applied mathematics, as well as those working in a wide spectrum of disciplines in materials science.
Book Synopsis Wave Dynamics of Generalized Continua by : Alexander G. Bagdoev
Download or read book Wave Dynamics of Generalized Continua written by Alexander G. Bagdoev and published by Springer. This book was released on 2015-09-25 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to problems of propagation and stability of linear and nonlinear waves in continuous media with complex structure. It considers the different media, such as solid with cavities, preliminary deformed disperse medium, solid with porosity filled by the electrically conductive and non-conductive liquid, magnetoelastic, piezo-semiconductors, crystals with dislocations, composites with inclusions, an electrically conductive asymmetrical liquid, a mixture of gas with a drop liquid. The book also considers the propagation of a laser beam through a two-level medium. The presented results are based on methods of evolution and modulation equations that were developed by the authors. The book is intended for scientific and technical researchers, students and post-graduate students specializing in mechanics of continuous media, physical acoustics, and physics of the solid state.
Book Synopsis Universality of Nonclassical Nonlinearity by : Pier Paolo Delsanto
Download or read book Universality of Nonclassical Nonlinearity written by Pier Paolo Delsanto and published by Springer Science & Business Media. This book was released on 2006-12-13 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the results of two major international research projects on phenomenology, theory and applications of Nonclassical Nonlinearity. It conveys concepts, experimental techniques and applications which were previously found in specialized journals. It also allows for an interdisciplinary audience to better understand the range of practical applications, and is timely and interesting to both researchers and professionals.
Book Synopsis Applied Wave Mathematics by : Ewald Quak
Download or read book Applied Wave Mathematics written by Ewald Quak and published by Springer Science & Business Media. This book was released on 2009-08-29 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume consists of twelve contributions related to the EU Marie Curie Transfer of Knowledge Project Cooperation of Estonian and Norwegian Scienti c Centres within Mathematics and its Applications, CENS-CMA (2005-2009), - der contract MTKD-CT-2004-013909, which ?nanced exchange visits to and from CENS, the Centre for Nonlinear Studies at the Institute of Cybernetics of Tallinn University of Technology in Estonia. Seven contributions describe research highlights of CENS members, two the work of members of CMA, the Centre of Mathematics for Applications,Univ- sity of Oslo, Norway, as the partner institution of CENS in the Marie Curie project, and three the ?eld of work of foreign research fellows, who visited CENS as part of theproject. Thestructureofthebookre?ectsthedistributionofthetopicsaddressed: Part I Waves in Solids Part II Mesoscopic Theory Part III Exploiting the Dissipation Inequality Part IV Waves in Fluids Part V Mathematical Methods The papers are written in a tutorial style, intended for non-specialist researchers and students, where the authors communicate their own experiences in tackling a problem that is currently of interest in the scienti?c community. The goal was to produce a book, which highlights the importance of applied mathematics and which can be used for educational purposes, such as material for a course or a seminar. To ensure the scienti?c quality of the contributions, each paper was carefully - viewed by two international experts. Special thanks go to all authors and referees, without whom making this book would not have been possible.
Book Synopsis A Journey Into the Nonlinear World by : Jüri Engelbrecht
Download or read book A Journey Into the Nonlinear World written by Jüri Engelbrecht and published by Springer Nature. This book was released on 2024 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a personal story about being involved in the study of nonlinear phenomena for more than half a century. The focus is on the development of ideas and the resulting knowledge. This is the visible part of research, but much is usually hidden. The author describes how the ideas were generated and how an "invisible college" of friends and colleagues has emerged. The presentation is spiced by thoughts about the beauty of science and philosophical considerations on the complex world, where nonlinear interactions play an important role. The book is in some sense a biography but not so much about the personal life of the author -- it is about science and its actors. Based on the author's experience in many European research centres and science policy institutions, it reflects on the development of knowledge in nonlinear dynamics as well as science policy actions over the second half of the 20th century and the first quarter of the 21st century. Graduates and postgraduates interested in the progress of research will find the book particularly engaging.
