4 edition of **Nonlinear deformation waves** found in the catalog.

- 197 Want to read
- 37 Currently reading

Published
**1983** by Springer-Verlag in Berlin, New York .

Written in English

- Nonlinear waves -- Congresses.

**Edition Notes**

Statement | editors, Uno Nigul and Jüri Engelbrecht. |

Series | IUTAM symposium Tallinn/Estonian SSR 1982, IUTAM-Symposien. |

Contributions | Nigul, U. K., Engelbrecht, Jüri., International Union of Theoretical and Applied Mechanics., IUTAM Symposium on Nonlinear Deformation Waves (1982 : Tallinn, Estonia) |

Classifications | |
---|---|

LC Classifications | QA927 .N659 1983 |

The Physical Object | |

Pagination | xxiii, 452 p. : |

Number of Pages | 452 |

ID Numbers | |

Open Library | OL3158887M |

ISBN 10 | 0387122168 |

LC Control Number | 83000523 |

waves by Zakharov () with a variational method and obtained by Hasimoto & Ono () using a multivariable method. Comprehensive discussions and extensive references for the nonlinear dynamics of deep-water gravity waves were given in the reviews by Yuen & Lake (, ) and in the book by Mei (). An extension. Porosity waves correspond to a steady‐state solution to the coupled hydraulic and rheologic equations that govern the flow of the fluid through the matrix and matrix deformation. This chapter presents an intuitive analytical formulation of this solution in one dimension that is general with respect to the constitutive relations used to define Cited by: We consider stationary waves on nonlinear quantum star graphs, i.e., solutions to the stationary (cubic) nonlinear Schrödinger equation on a metric star graph with Kirchhoff matching conditions at the centre. We prove the existence of solutions that vanish at the centre of the star and classify them according to the nodal structure on each edge (i.e., the number of nodal domains or nodal Author: Ram Band, Sven Gnutzmann, August J. Krueger.

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Actually the IUTAM Symposium on Nonlinear Deformation Waves was the Nonlinear deformation waves book meeting of such kind to be held in Tallinn. Inthe Academy of Sciences of the Estonian SSR and Gorky State University or~anized a national Symposium on Nonlinear and Thermal Effects in Transient Nonlinear deformation waves book Propagation.

Buy Nonlinear Deformation Waves: Symposium, Tallinn, Estonian SSR, USSR August(IUTAM Symposia) on FREE SHIPPING on qualified orders. Nonlinear deformation waves book Effect of Large Amplitude Waves and Film Inertia on Mass Separation at a Sharp Corner J.

Fluids Eng (August, ) Identification of Simple Shear in Plane Strain DeformationCited by: Get this from a library. Nonlinear deformation waves: symposium, Tallinn, Estonian SSR, USSR, August[U K Nigul; Jüri Engelbrecht; International Union of Theoretical and Applied Mechanics.;].

Actually the IUTAM Symposium on Nonlinear Deformation Waves was the third meeting of such kind to be held in Tallinn. Inthe Academy of Sciences of the Estonian SSR and Gorky State University or anized a national Symposium on Nonlinear and Thermal Effects in Transient Wave Propagation.

A study Nonlinear deformation waves book nonlinear deformation waves in solids and dispersion due to microstructures using Mindlin type model is considered in reference [11]. Finite volume method is used to study propagation. 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.

Show all. Table of contents (6 chapters) Book Title Nonlinear Waves in Solids Editors. Jeffrey. This chapter is one of the longest in the book and includes results on analysis of nonlinear plane waves in elastic mixtures (a structural model of elastic composite materials).

It is divided into. Summary. A new wave equation has been derived for fully nonlinear dispersive waves propagating over an arbitrarily shaped sea bed. The method of the derivation of the equation uses a conformal mapping technique by which Nonlinear deformation waves book original domain can be transformed onto a uniform depth region to Nonlinear deformation waves book the basic equation easily integrable : K.

Nadaoka, M. Hino. The IUTAM Symposium on Non-linear Water Waves was organized with the aim of Nonlinear deformation waves book together researchers who are actively studying non-linear water waves from various viewpoints. The papers contained in this book are related to the generation and deformation of non-linear water waves and the non-linear interaction between waves and bodies.

This work considers initiation of nonlinear waves, their propagation, reflection, and their interactions in thermoelastic solids and thermoviscoelastic solids with and without memory. The conservation and balance laws constituting the mathematical models as well as the constitutive theories are derived for finite deformation and finite strain using second Piola-Kirchoff stress tensor and Green Author: K.

Surana, J. Knight, J. Reddy. Direct Lie Theory of the Isospectral Deformation Technique. Cartanian geometry, nonlinear waves, and control theory, Volume 1 Róbert Hermann Snippet view - Page 18 - Yet this is what the reader of a book on mathematics would do if he were a logician only.

To understand the game is wholly another matter; it is to know why. Get this from a library. Introduction to wave propagation in nonlinear fluids and solids. [D S Drumheller] -- "Waves occur widely Nonlinear deformation waves book nature and have innumerable commercial uses. Pressure waves are responsible for the sound of speech, bow waves created by meteors can virtually ignite the earth's atmosphere.

Nonlinear Finite Element Analysis and ADINA contains the proceedings of the Fourth ADINA Conference held Nonlinear deformation waves book Massachusetts Institute of Technology on JuneSeparating the papers presented in the conference as chapters, this book first elucidates the.

Nonlinear Deformation Waves, () A node-moving algorithm with Nonlinear deformation waves book to Burgers equation and the Moltz problem. Applied Mathematical ModellingCited by: Buy Nonlinear Deformation Waves: Symposium by Nigul, Uno, Engelbrecht, Juri, IUTAM SYMPOSIUM ON NONLINEAR DEFORMATION (ISBN: ) from Amazon's Book Store.

Everyday low prices and free delivery on eligible : Hardcover. Nonlinear Waves in Solid Continua with Finite Deformation by Jason Knight This book presents many aspects of mechanics, physics, and chemistry in such deformation.

Plasticity or irreversible deformation processes are a central point of focus in this reference. The material in the book is largely devotedAuthor: K. Surana, J. Knight, J. Reddy. Nonlinear components of wakes from large high-speed ships at times carry a substantial part of the wake energy and behave completely differently compared to the classical Kelvin wave system.

This overview makes an attempt to summarize the descriptions of nonlinear parts of a ship’s by: Suryanto, A, van Groesen, E & Hoekstra, HJWMA low-dimensional model for deformation of bichromatic waves in third order non linear media.

in A Driessen (ed.), Nonlinear Optics for the Information Society: Proceedings of the Third Annual Meeting of the COST Action P2, held in Enschede, The Netherlands, 26–27 October Springer, Dordrecht, pp.Third Annual Meeting of the Author: A. Suryanto, E. van Groesen, H. Hoekstra.

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. 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.

See also Nonlinear partial differential equation, List of partial differential equation topics and List of nonlinear ordinary differential equations. 4 R–Z, α–ω. Bateman-Burgers equation. u t + u u x = ν u x x {\displaystyle \displaystyle u_ {t}+uu_ {x}=\nu u_ {xx}} Fluid mechanics.

Benjamin–Bona–Mahony. This book covers a variety of topics, including shallow elastic membranes, nonlinear elasticity, finite deformations of elastic solids, and nonlinear thermoelasticity. Organized into 11 chapters, this book begins with an overview of the nonlinear theory of buckling of elastic shells.

The IUTAM Symposium on Non-linear Water Waves was organized with the aim of bringing together researchers who are actively studying non-linear water waves from various viewpoints.

The papers contained in this book are related to the generation and deformation of non-linear water waves and the non-linear interaction between waves and : K. Horikawa, H. Maruo. An Introduction to Nonlinear Finite Element Analysis: with applications to heat transfer, fluid mechanics, and solid mechanics, Edition 2 - Ebook written by J.

Reddy. 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 An Introduction to Nonlinear Finite Element Analysis: with 5/5(1). Nonlinear Wave Processes in Acoustics is a very good book that fills a needed gap, and this reviewer much enjoyed reading it and learning from it." G.C.

Gaunaurd, Appied Mechanical Reviews " an excellent complement to the existing books on nonlinear acoustics.4/5(1). Mathematical description Single waves. A wave can be described just like a field, namely as a function (,) where is a position and is a time.

The value of is a point of space, specifically in the region where the wave is defined. In mathematical terms, it is usually a vector in the Cartesian three-dimensional r, in many cases one can ignore one dimension, and let be a point of the.

Nonlinear Generation of Harmonics []. As described in the entry for the qualitative description of shocks, finite amplitude waves in any medium will undergo a steepening phenomena cumulating in the formation of shock strong flows and wave conditions where fluid velocity is similar in magnitude to sound speed, u/c o ≥ O(1), where u is the particle velocity and c o is the.

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.

deformation and disintegration of internal solitary waves as they propagate over the continental shelf and slope. 1 Introduction Solitary waves are nonlinear localized waves of permanent form, ﬁrst observed by Russell () as a free surface solitary wave in a canal, and then in a series of by: Beach deformation is computed with an improved model using the sand transport rate formula proposed by Dibajnia and Watanabe, which is capable of estimating the net transport rate under nonlinear asymmetric irregular waves.

It is clear that Mark Ablowitz's book is a welcome addition to the literature that will be particularly useful to anyone planning a course on nonlinear waves.' Peter D. Miller, SIAM News "It is an up-to-date teaching resource that will prepare students for work in nonlinear waves as the subject appears today in applications, especially in 5/5(1).

Based on the theoretical investigation, the following phenomena have been shown to exist in the media with microstructure: formation of nonlinear stationary waves, in particular, formation of deformation solitons; resonance interactions of a longitudinal wave with the waves of longitudinal rotation and the shear-rotation waves, as well as other Author: Vladimir I.

Erofeyev. 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. on the additivity and the proportionality. @article{osti_, title = {Fatigue damage evaluation of austenitic stainless steel using nonlinear ultrasonic waves in low cycle regime}, author = {Zhang, Jianfeng and Xuan, Fu-Zhen}, abstractNote = {The interrupted low cycle fatigue test of austenitic stainless steel was conducted and the dislocation structure and fatigue damage was evaluated subsequently by using both transmission.

This book focuses on the fundamental ideas of continuum mechanics by analyzing models of fluid flow and solid deformation and examining problems in elasticity, water waves, and extremum principles. Mathematics Applied to Continuum Mechanics gives an excellent overview of the subject, with an emphasis on clarity, explanation, and motivation.

Suggested Citation:"Analysis of Interactions Between Nonlinear Waves and Bodies by Domain Decomposition."National Research Council. Twenty-First Symposium on Naval gton, DC: The National Academies Press. doi: / Description; Chapters; Reviews; Supplementary; Wave or weak turbulence is a branch of science concerned with the evolution of random wave fields of all kinds and on all scales, from waves in galaxies to capillary waves on water surface, from waves in nonlinear optics to quantum fluids.

In spite of the enormous diversity of wave fields in nature, there is a common conceptual and mathematical. We are interested in the nonlinear interaction of frequency components in large amplitude acoustic waves in rocks.

As compared to other, more ordered solids, rocks are elastically highly nonlinear. The ratio of third order elastic constants to second order elastic constants in a typical rock is orders of magnitude greater than in solids such as iron [1].Author: Katherine R.

McCall, Paul A. Johnson, G. Douglas Meegan. @article{osti_, title = {Self-consistent modelling of electrochemical strain microscopy in mixed ionic-electronic conductors: Nonlinear and dynamic regimes}, author = {Varenyk, O.

and Morozovska, A. N., E-mail: [email protected], E-mail: [email protected] and Silibin, M. and Kiselev, D. and Eliseev, E. and Kalinin, S. V., E-mail: [email protected], E-mail: anna.n. Wave motion, propagation of disturbances—that is, deviations from a state of rest or pdf place to place in a regular and organized way.

Most familiar are surface waves on water, but both sound and light travel as wavelike disturbances, and the motion of all subatomic particles exhibits.This paper describes a time-domain model for the nonlinear response download pdf fluid-filled membranes in gravity waves.

A formulation based on the principle of virtual work provides an integral governing equation for membrane deformation that fully accounts for geometric nonlinearity, which is known to be important even for relatively small deformation.Strongly nonlinear wave dynamics of heterogeneous “soft” condensed matter (e.g.

porous or granular ebook with properties of “sonic vacuum” or with anomalous behavior). Physics and mechanics of shock and localized shear deformation of solid and porous materials, inert and reactive.