7 edition of Nonlinear Waves in Elastic Crystals (Oxford Mathematical Monographs) found in the catalog.
December 27, 1999
by Oxford University Press, USA
Written in English
|The Physical Object|
|Number of Pages||314|
This book presents cutting-edge developments in the theory and experiments of nonlinear waves. Its comprehensive coverage of analytical methods for nonintegrable systems is the first of its kind. It also covers in great depth analytical methods for integrable equations, and comprehensively describes efficient numerical methods for all major Cited by: optics and nonlinear optics of liquid crystals Download optics and nonlinear optics of liquid crystals or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get optics and nonlinear optics of liquid crystals book now. This site is like a library, Use search box in the widget to get ebook that you want.
Nonlinear Acoustic Waves in Fluid-Saturated Porous Rocks – Poro-Acoustoelasticity Theory. By Jing Ba, Hong Cao and Qizhen Du. Submitted: December 5th Reviewed: March 19th Published: October 24th DOI: /Author: Jing Ba, Hong Cao, Qizhen Du. Nonlinear Waves in Granular Crystals Abstract The properties and stabilities of various wave types are investigated in nonlinear lattices with a ‘Hertz’ type potential. In particular the interaction of in-trinsic localized modes with other waves is studied. Evidence is provided that Fano-like resonances, ob-.
This article investigates longitudinal deformation waves in physically nonlinear coaxial elastic shells containing a viscous incompressible fluid between them. The presence of a viscous incompressible fluid between the shells, as well as the influence of the inertia of the fluid motion on the amplitude and velocity of the wave, are taken into : Lev Mogilevich, Sergey Ivanov. Phononic Crystals: Artificial Crystals for Sonic, Acoustic, and Elastic Waves - Ebook written by Vincent Laude. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Phononic Crystals: Artificial Crystals for Sonic, Acoustic, and Elastic : Vincent Laude.
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"This book presents various aspects of nonlinear propagation in elastic crystals The book clearly shows the great expertise of its author in a broad range of different topics. This is clearly demonstrated by the following (nonexhaustive) list of topics considered: Cited by: Nonlinear waves in elastic crystals.
[G A Maugin] this book gives an authoritative and up-to-date overview of recent research on the behaviour of waves in crystalline solids. discrete viewpoint --Coupled fields in elasticity --Nonlinear waves in elastic chains --Nonlinear waves in elastic crystals with a microstructure --Nonlinear waves.
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.
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 book is divided on five basic parts: the necessary information.
Strongly Nonlinear Waves in 3D Phononic Crystals AIP Conference Proceedings( This system has unique strongly nonlinear properties with respect to wave propagation inherited from nonlinear Hertz type elastic contact interaction. Trains of strongly nonlinear solitary waves excited by short duration impact were by: 7.
This unrivalled reference book contains the most complete and up-to-date information on properties of nonlinear optical crystals. It includes: * Database of 63 common and novel nonlinear optical crystals * Periodically-poled and self-frequency-doubling materials * Full description of Cited by: Further, nonlinear elastic Rayleigh Nonlinear Waves in Elastic Crystals book waves are discussed, which includes general information (new variants of quadratically nonlinear equations describing the two-dimensional motion in dependence on two spatial coordinates x 1, x 3 and time t), basic equations, procedures of solving the nonlinear wave equations, and, finally, the first Author: Jeremiah J.
Rushchitsky. Nonlinear Waves in Elastic Crystals (Oxford Mathematical Monographs) (repost) Nonlinear Waves in Elastic Crystals (Oxford Mathematical Monographs) by G.
Maugin (Repost) Nonlinear Waves in Elastic Crystals; [PDF] Colliding Plane Waves in General Relativity (Oxford Mathematical Monographs). Analytical modeling of essentially nonlinear strain waves in solids is developed based on a proper assumption about their complex internal structure.
Nonlinear Waves in Elastic Crystals. This formalism and the Whitham–Newell averaging method are then used in an illustration to the case of nonlinear dispersive bulk waves in elastic crystals. A nonlinear (i.e., amplitude dependent), “dispersive” (i.e., dependent on space and time derivatives of the amplitude) dispersion relation is thus constructed by means of asymptotics Cited by: In recent works concerning the discrete or continuum modelling of the behavior of such elastic crystals, we have been able to delineate ā general descriptive framework in which,using the concepts of solitary waves and solitons, the dynamics of simple structures in domains and walls can be by: 4.
lar chains have also been employed to study nonlinear wave propagation in elastic 2D [, ] and three-dimensional (3D) granular crystals with Hertzian contacts . There are a variety of ways to detect coherent structures in granular crystals.
The most common approach of a local measurement of transient force pro!les in selected particles. Introduction. Recently a model has been developed to account for localization of nonlinear strain waves in a periodic two-component was found that the strain waves localization strongly depends on the elastic properties of the components of the composite and the width of the by: Finally, taking advantage of the intrinsic nonlinearities of the granular crystals, the MGG proposed herein offers a perfect platform to explore a wide array of nonlinear bulk, edge waves in.
Keywords: granular crystals, nonlinear waves, breathers, nonlinear dynamics, traveling waves, crystals, and his influential book  is a canonical lar chains have also been employed to study nonlinear wave propagation in elastic 2D  and three-dimensional.
The thermo-mechanics of nonlinear irreversible behaviors: an introduction, World Scientific Nonlinear waves in elastic crystals, Oxford University Press with Arkadi Berezovski, Jüri Engelbrecht Numerical simulation of waves and fronts in inhomogeneous solids, World Scientific springer, 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.
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 Brand: Springer International Publishing.
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 Brand: Springer International Publishing.
The variety of phenomena based on electromagnetism at surfaces is rich and this book was written with the aim of summarizing the available knowledge in selected areas of the field. The book contains reviews written by solid state and optical physicists on the nonlinear interaction of electromagnetic waves at and with surfaces and films.
For some applications, nonlinear crystals with a very small thickness of well below 1 mm are used. This may be necessary for minimizing the group velocity mismatch, e.g. in optical autocorrelators for extremely short pulses.
A common method for obtaining ultrathin crystals is to first optically contact a thicker nonlinear crystal with some substrate (e.g. of fused silica) and then to polish.One dimensional "sonic vacuum"-type phononic crystals were assembled from chains of polytetrafluoroethylene (PTFE) beads and Parylene coated spheres with different diameters.
It was demonstrated for the first time that these polymer-based granular system, with exceptionally low elastic modulus of particles, support the propagation of strongly nonlinear solitary waves with a very low speed.Set Red Louis Vuitton Hair Cubes Crystals Tie Elastic Band Ponytail.
Phononic Crystals - $ Phononic Crystals Artificial Crystals For Sonic, Acoustic, And Elastic Waves By. Advances In - $ Advances In Crystals And Elastic Metamaterials, Part 1 Volume 51 By Hussein. Advances In - $