Overview

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.

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9780198534846

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<br> 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: lattices, elasticity and anelasticity, electroelasticity, ferromagnets, elastic chains, crystals with microstructure, martensitic phase transitions, surface waves and thermoelasticity. the book largely reflects various aspects of research work by the author. . .This is a very original and interesting book which will mainly be useful to researchers in the filed of nonlinear waves in solids because it presents a very broad survey of different types of nonlinear dispersive wave occurring in crystals and of their modelization. --Mathematical Reviews<br>

' Whilst it is inevitably a mathematical text, it is cleary written and contains many diagrams to assist with visualisation of the computational results and concepts' Islib

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: lattices, elasticity and anelasticity, electroelasticity, ferromagnets, elastic chains, crystals with microstructure, martensitic phase transitions, surface waves and thermoelasticity. the book largely reflects various aspects of research work by the author. . .This is a very original and interesting book which will mainly be useful to researchers in the filed of nonlinear waves in solids because it presents a very broad survey of different types of nonlinear dispersive wave occurring in crystals and of their modelization. --Mathematical Reviews

<br> 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: lattices, elasticity and anelasticity, electroelasticity, ferromagnets, elastic chains, crystals with microstructure, martensitic phase transitions, surface waves and thermoelasticity. the book largely reflects various aspects of research work by the author. . .This is a very original and interesting book which will mainly be useful to researchers in the filed of nonlinear waves in solids because it presents a very broad survey of different types of nonlinear dispersive wave occurring in crystals and of their modelization. --Mathematical Reviews<p><br>

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: lattices, elasticity and anelasticity, electroelasticity, ferromagnets, elastic chains, crystals with microstructure, martensitic phase transitions, surface waves and thermoelasticity. the book largely reflects various aspects of research work by the author. . .This is a very original and interesting book which will mainly be useful to researchers in the filed of nonlinear waves in solids because it presents a very broad survey of different types of nonlinear dispersive wave occurring in crystals and of their modelization. --Mathematical Reviews<br>

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