Introduction to the Mathematical Theory of Dynamic Materials

Inbunden, Engelska, 2007

AvKonstantin A. Lurie

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This book has emerged from the study of a new concept in material science that has been realized about a decade ago. Before that, I had been working for more than 20 years on conventional composites assembled in space and therefore adjusted to optimal material design in statics. The reason for that adjustmentisthatsuchcompositesappearedtobecomenecessaryparticipants in almost any optimal material design related to a state of equilibrium. A theoretical study of conventional composites has been very extensive over a long period of time. It received stimulation through many engineering applications, and some of the results have become a part of modern industrial technology. But again, the ordinary composites are all about statics, or, at the utmost, are related to control over the free vibration modes, a situation conceptually close to a static equilibrium. The world of dynamics appears to be quite di?erent in this aspect. When it comes to motion, the immovable material formations distributed in space alone become insu?cient as the elements of design because they are incapable of getting fully adjusted to the temporal variation in the environment. To be able to adequately handle dynamics, especially the wave motion, the material medium must itself be time dependent, i.e. its material properties should vary in space and time alike. Any substance demonstrating such variation has been termed a dynamic material [1].

Produktinformation

Utgivningsdatum2007-04-24
Mått155 x 235 x undefined mm
FormatInbunden
SpråkEngelska
SerieAdvances in Mechanics and Mathematics
Antal sidor182
FörlagSpringer-Verlag New York Inc.
ISBN9780387382784

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From the reviews: "The author introduces the concept of dynamic or time-dependent materials in mechanical and electromagnetic context in order to study varying environmental conditions and changing properties, structures or compositions of materials both in space and time. ... In total, the monograph seems to be a pioneering step in establishing the mathematical theory of dynamic materials, and without chapter problems, computer programs and design projects, which is desirable for normal classroom use, it may basically be of interest to researchers and engineers." (M. Cengiz Dokmeci, Zentralblatt MATH, Vol. 1125 (2), 2008) "Lurie proposes to consider in a dynamical framework materials that present inhomogeneties in both space and time. ... an introduction to a field of continuum physics that may find unexpected developments in some of the newly designed materials that involve small sizes and short wavelength dynamical phenomena. ... It is highly recommended to all those wondering what is new in the field. It should also open new horizons to most of its readers." (Gerard A. Maugin, Mathematical Reviews, Issue 2008 b)