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Author : J. Engelbrecht
Publisher : Halsted Press
ISBN 13 : 9780470204733
Total Pages : 234 pages
Book Rating : 4.2/5 (47 download)
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:
Author : Jüri Engelbrecht
Publisher : Pitman Advanced Publishing Program
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.:/5 (44 download)
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:
Author : IUrii Kustavich Engel brekht
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (959 download)
Download or read book Nonlinear Wave Processes of Deformation in Solids written by IUrii Kustavich Engel brekht and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Vladimir I Erofeyev
Publisher : World Scientific
ISBN 13 : 981448704X
Total Pages : 276 pages
Book Rating : 4.8/5 (144 download)
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 2003-08-12 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book systematically discusses the modern theory of propagation and interaction of elastic waves in solids with microstructure. Mathematical models of solids taking into account microstructure, geometrical and physical nonlinearity, damage media, interaction of deformation and magnetic field are obtained. Different wave effects characteristic of solids with microstructure are studied. The opportunity to use these effects in problems of ultrasonic testing of materials and devices of constructions is considered.
Author : Igor V. Andrianov
Publisher : CRC Press
ISBN 13 : 1000372219
Total Pages : 322 pages
Book Rating : 4.0/5 (3 download)
Download or read book Linear and Nonlinear Waves in Microstructured Solids written by Igor V. Andrianov and published by CRC Press. This book was released on 2021-04-22 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses asymptotic methods to obtain simple approximate analytic solutions to various problems within mechanics, notably wave processes in heterogeneous materials. Presenting original solutions to common issues within mechanics, this book builds upon years of research to demonstrate the benefits of implementing asymptotic techniques within mechanical engineering and material science. Focusing on linear and nonlinear wave phenomena in complex micro-structured solids, the book determines their global characteristics through analysis of their internal structure, using homogenization and asymptotic procedures, in line with the latest thinking within the field. The book’s cutting-edge methodology can be applied to optimal design, non-destructive control and in deep seismic sounding, providing a valuable alternative to widely used numerical methods. Using case studies, the book covers topics such as elastic waves in nonhomogeneous materials, regular and chaotic dynamics based on continualisation and discretization and vibration localization in 1D Linear and Nonlinear lattices. The book will be of interest to students, research engineers, and professionals specialising in mathematics and physics as well as mechanical and civil engineering.
Author : Alexey V. Porubov
Publisher : World Scientific
ISBN 13 : 9812794298
Total Pages : 229 pages
Book Rating : 4.8/5 (127 download)
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 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. Contents: Basic Concepts; Mathematical Tools for the Governing Equations Analysis; Strain Solitary Waves in an Elastic Rod; Amplification of Strain Waves in Absence of External Energy Influx; Influence of Dissipative (Active) External Medium; Bulk Active or Dissipative Sources of the Amplification and Selection. Readership: Graduate students, academics and researchers in mechanics, nonlinear science and mechanical engineering.
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 : Vladimir I. Erofeyev
Publisher : World Scientific
ISBN 13 : 9812382275
Total Pages : 276 pages
Book Rating : 4.8/5 (123 download)
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.
Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 3030387089
Total Pages : 473 pages
Book Rating : 4.0/5 (33 download)
Download or read book Nonlinear Wave Dynamics of Materials and Structures written by Holm Altenbach and published by Springer Nature. This book was released on 2020-04-22 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book marks the 60th birthday of Prof. Vladimir Erofeev – a well-known specialist in the field of wave processes in solids, fluids, and structures. Featuring a collection of papers related to Prof. Erofeev’s contributions in the field, it presents articles on the current problems concerning the theory of nonlinear wave processes in generalized continua and structures. It also discusses a number of applications as well as various discrete and continuous dynamic models of structures and media and problems of nonlinear acoustic diagnostics.
Author : J. Engelbrecht
Publisher : Springer Science & Business Media
ISBN 13 : 9401588910
Total Pages : 197 pages
Book Rating : 4.4/5 (15 download)
Download or read book Nonlinear Wave Dynamics written by J. Engelbrecht and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc. have proved to be useful in explaining the world around us, be it natural or artificial. However, much of our everyday understanding is still based on linearity, i. e. on the additivity and the proportionality. The larger the excitation, the larger the response-this seems to be carved in a stone tablet. The real world is not always reacting this way and the additivity is simply lost. The most convenient way to describe such a phenomenon is to use a mathematical term-nonlinearity. The importance of this notion, i. e. the importance of being nonlinear is nowadays more and more accepted not only by the scientific community but also globally. The recent success of nonlinear dynamics is heavily biased towards temporal characterization widely using nonlinear ordinary differential equations. Nonlinear spatio-temporal processes, i. e. nonlinear waves are seemingly much more complicated because they are described by nonlinear partial differential equations. The richness of the world may lead in this case to coherent structures like solitons, kinks, breathers, etc. which have been studied in detail. Their chaotic counterparts, however, are not so explicitly analysed yet. The wavebearing physical systems cover a wide range of phenomena involving physics, solid mechanics, hydrodynamics, biological structures, chemistry, etc.
Author : Pasquale Giovine
Publisher : BoD – Books on Demand
ISBN 13 : 9535108212
Total Pages : 234 pages
Book Rating : 4.5/5 (351 download)
Download or read book Wave Processes in Classical and New Solids written by Pasquale Giovine and published by BoD – Books on Demand. This book was released on 2012-10-24 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave propagation in solids has been widely studied and principal advances in this field have been achieved not only for the improvements of calculus methods, but also for the high progresses attained in the description of new types of materials. This book presents innovative and original research studies describing some enhancement in both directions. In particular, the first section is devoted to the propagation of waves in complex materials and related dispersion relations are deeply investigated. Instead the second section is dedicated to new applications for the study of wave processes in classical solids; the emphasis is posed on various simulation availabilities in the fields of seismology, damaging, geomaterials and multi-wave propagation. The audience includes students, engineers and advanced scientists with knowledge of wave propagation in solids.
Author : Alexey V Porubov
Publisher : World Scientific
ISBN 13 : 9814486353
Total Pages : 229 pages
Book Rating : 4.8/5 (144 download)
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.
Author : C.I. Christov
Publisher : Springer Science & Business Media
ISBN 13 : 1461200954
Total Pages : 274 pages
Book Rating : 4.4/5 (612 download)
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.
Author : M. Destrade
Publisher : Springer Science & Business Media
ISBN 13 : 3211735720
Total Pages : 287 pages
Book Rating : 4.2/5 (117 download)
Download or read book Waves in Nonlinear Pre-Stressed Materials written by M. Destrade and published by Springer Science & Business Media. This book was released on 2007-11-08 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers in this book provide a state-of-the-art examination of waves in pre-stressed materials. You’ll gain new perspectives via a multi-disciplinary approach that interweaves key topics. These topics include the mathematical modeling of incremental material response (elastic and inelastic), an analysis of the governing differential equations, and boundary-value problems. Detailed illustrations help you visualize key concepts and processes.
Author : Boris F. Shorr
Publisher : Springer Science & Business Media
ISBN 13 : 354044579X
Total Pages : 358 pages
Book Rating : 4.5/5 (44 download)
Download or read book The Wave Finite Element Method written by Boris F. Shorr and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational mechanics, as a science employed for the numerical model ing of processes in nature and engineering, has over the last few decades developed two strands. The first concerns the putting of more and more powerful software packages into computational practice, using increas ingly high-performance computers with increasingly large memory. The traditional finite element and finite difference approaches are still preva lent. Over the years however, researchers have met with new problems; their solutions on the basis of traditional methods are at best difficult and at worst impossible to obtain. Such problems provided a powerful impetus in the development of the second strand, resulting in the development of es sentially new approaches for numerical modeling, for example meshless methods, "molecular" dynamics, neuron networks. The current state of the art formed the basis of many papers presented at the Fifth World Congress on Computational Mechanics, Vienna 2002. It is within the framework of the second strand that this book has been written.
Author : Veniamin Nazarov
Publisher : John Wiley & Sons
ISBN 13 : 1118456084
Total Pages : 263 pages
Book Rating : 4.1/5 (184 download)
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.
