Nonlinear Waves in Elastic Crystals (Oxford Mathematical Monographs)
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Book Description
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.
Book Info
Focuses on nonlinear waves focusing on the dispersive systems, particularly the phenomenon of dispersion: discreteness of the substratum of propagation, e.g. the crystal lattice, and the critical appearance of a length-scale when long-range interactions are accounted for.
Nonlinear Waves in Elastic Crystals (Oxford Mathematical Monographs),Gerard Maugin,Oxford University Press, USA,0198534841,Applied,Crystallography +,Crystals,Material Science,Mathematical Physics,Mathematics,Mechanical properties,Nonlinear waves,Physics,Science,Science/Mathematics,Wave-motion, Theory of,Waves & Wave Mechanics,Applied mathematics,Crystallography,Mathematics / Applied,Mathematics | Applied Mathematics,Sound, vibration & waves (acoustics)
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