Nonlinear Waves in Elastic Media

Nonlinear Waves in Elastic Media
Author :
Publisher : CRC Press
Total Pages : 252
Release :
ISBN-10 : 9781000446418
ISBN-13 : 1000446417
Rating : 4/5 (417 Downloads)

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 2021-07-01 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.


Nonlinear Waves in Elastic Media Related Books

Nonlinear Waves in Elastic Media
Language: en
Pages: 252
Authors: A.G. Kulikovskii
Categories: Mathematics
Type: BOOK - Published: 2021-07-01 - Publisher: CRC Press

GET EBOOK

Nonlinear Waves in Elastic Media explores the theoretical results of one-dimensional nonlinear waves, including shock waves, in elastic media. It is the first b
Nonlinear Wave Processes in Acoustics
Language: en
Pages: 316
Authors: K. Naugolnykh
Categories: Mathematics
Type: BOOK - Published: 1998-05-28 - Publisher: Cambridge University Press

GET EBOOK

This text considers models of different "acoustic" media as well as equations and behavior of finite-amplitude waves. It also considers the effects of nonlinear
Elastic Media with Microstructure: Three-dimensional models
Language: en
Pages: 296
Authors: Isaak Abramovich Kunin
Categories: Elasticity
Type: BOOK - Published: 1982 - Publisher:

GET EBOOK

Nonlinear Waves in Integrable and Non-integrable Systems
Language: en
Pages: 452
Authors: Jianke Yang
Categories: Science
Type: BOOK - Published: 2010-12-02 - Publisher: SIAM

GET EBOOK

Nonlinear Waves in Integrable and Nonintegrable Systems presents cutting-edge developments in the theory and experiments of nonlinear waves. Its comprehensive c
Nonlinear Waves in Elastic Crystals
Language: en
Pages: 328
Authors: GĂ©rard A. Maugin
Categories: Mathematics
Type: BOOK - Published: 1999 - Publisher:

GET EBOOK

The mathematical modelling of changing structures in materials is of increasing importance to industry where applications of the theory are found in subjects as