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An Introduction to the Mathematical Theory of Dynamic Materials : Advances in Mechanics and Mathematics - Konstantin A. Lurie

An Introduction to the Mathematical Theory of Dynamic Materials

By: Konstantin A. Lurie

Hardcover | 24 April 2007

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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].
Industry Reviews

This book is the first monograph presenting an explicit account of a new material concept:  it introduces and explores formations with parameters variable in both space and time and therefore called dynamic materials (DM). Being thermodynamically open systems, DM may be adjusted to a dynamic environment due to unusual effects produced by their mass/momentum/energy exchange with the environment. A number of such effects forms a basis for technical devices that support energy accumulation and its storage in traveling waves, effective sensing, isolation of extended domains in space-time from the invasion of dynamic disturbances, etc. The DM concept is at the same time theoretically significant as the means of material optimization and design in dynamics based on the ideas conceptually different from those traditionally applicable in statics, such as homogenization. All in all, the book by Lurie represents a fundamental work that will become a source of novel conceptual ideas and engineering applications. (Iliya I. Blekhman,  Materials Physics and Mechanics 11 (2011), pp. 190-193)

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Non-FictionMathematicsCalculus & Mathematical AnalysisDifferential Calculus & EquationsEngineering & TechnologyOther Technologies & Applied SciencesApplied OpticsMechanical Engineering & MaterialsMechanical EngineeringOptimisationLinear ProgrammingScience
PhysicsElectricityElectronics & Communications EngineeringElectronics EngineeringElectronic Devices & MaterialsMaterials ScienceMechanics of SolidsDynamics & Vibration

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