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Nonlinear Waves in Elastic Crystals

Name: Nonlinear Waves in Elastic Crystals
Brand: Oxford University Press
SKU: 04527444
Price: 104.89 EUR
Availability: InStock
Author: G. A. Maugin
ISBN: 9780198534846

G. A. Maugin

Language

English

Book Hardback

Libristo code: 04527444

Publishers Oxford University Press, November 1999

The mathematical modelling of changing structures in materials is of increasing importance to indust... Full description

Libristo code: 04527444

257 b

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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. In this way the student is 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.