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＜電子ブック＞
An Introduction to the Mathematical Theory of Dynamic Materials / by Konstantin A. Lurie
(Advances in Mechanics and Mathematics. ISSN:18769896 ; 15)

版	1st ed. 2007.
出版者	(New York, NY : Springer US : Imprint: Springer)
出版年	2007
本文言語	英語
大きさ	XVIII, 182 p : online resource
著者標目	*Lurie, Konstantin A author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Building materials LCSH:Optical materials LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Electrodynamics LCSH:Multibody systems LCSH:Vibration LCSH:Mechanics, Applied FREE:Differential Equations FREE:Structural Materials FREE:Optical Materials FREE:Calculus of Variations and Optimization FREE:Classical Electrodynamics FREE:Multibody Systems and Mechanical Vibrations
一般注記	A General Concept of Dynamic Materials -- An Activated Elastic Bar: Effective Properties -- Dynamic Materials in Electrodynamics of Moving Dielectrics -- G-closures of a Set of Isotropic Dielectrics with Respect to One-Dimensional Wave Propagation -- Rectangular Microstructures in Space-Time -- Some Applications of Dynamic Materials in Electrical Engineering and Optimal Design This book gives a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials—that is, material substances whose properties are variable in space and time. Unlike conventional composites that are often found in nature, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes. These materials have diverse applications: tunable left-handed dielectrics, optical pumping with high-energy pulse compression, and electromagnetic stealth technology, to name a few. Of special significance is the participation of dynamic materials in almost every optimal material design in dynamics. The book discusses some general features of dynamic materials as thermodynamically open systems; it gives their adequate tensor description in the context of Maxwell’s theory of moving dielectrics and makes a special emphasis on the theoreticalanalysis of spatio-temporal material composites (such as laminates and checkerboard structures). Some unusual applications are listed along with the discussion of some typical optimization problems in space-time via dynamic materials. Audience This book is intended for applied mathematicians interested in optimal problems of material design for systems governed by hyperbolic differential equations. It will also be useful for researchers in the field of smart metamaterials and their applications to optimal material design in dynamics HTTP:URL=https://doi.org/10.1007/0-387-38280-1

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