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. Students are 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.
General
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